Was he actually considering having two wives?
"I do," Wynn said in a considering tone.
"I do," Wynn said in a considering tone.
Felipa tipped her head to the side, as if she was considering that information.
I am not considering my own pleasure and I won't allow it to be said!
Without considering what he would do he moved unconciously with quick, resolute steps toward the crowd.
When Gabriel came to inform her that the men who had come had run away again, she rose frowning, and clasping her hands behind her paced through the rooms a long time considering what she should do.
Considering the problems they presented, she could hardly blame him for that.
Unless you were considering leaving me?
Royce and I have been considering a job with an outfit in Wyoming.
He was considering going to school but undecided about course study.
Imagine, he's even considering playing this game, and in some foreign country!
You once mentioned considering the dissemination of miss information.
She leaned back, considering how best to approach it.
Dulce stared at her for a moment, as if considering it for the first time.
God knows they need it if they're considering electing you for their sheriff.
Considering she lived for hundreds of millennia and her status as a deity, she didn't own anything fancy.
Gabe had never heard of Logan Myers and didn't know what connection he might have, considering he had no living relatives or friends, aside from Rhyn and Katie.
Gabe had never heard of Logan Myers and didn't know what connection he might have, considering he had no living relatives or friends, aside from Rhyn and Katie.
Considering his comment about ambition, he probably didn't consider the education wasted.
Kiera stopped in the hallway, considering where the enigmatic dhjan might have gone.
That might be painful, considering where Mr. Dean was shot!
It was a blow to him, considering he'd worked with many of them for thousands of years.
That might be painful, considering where Mr. Dean was shot!
It was a blow to him, considering he'd worked with many of them for thousands of years.
She was quiet briefly, considering, before she said, "Fine. Sixty days."
On the twenty-fifth of August, so his historians tell us, Napoleon spent the whole day on horseback inspecting the locality, considering plans submitted to him by his marshals, and personally giving commands to his generals.
When the boy had entered the hut, Petya sat down at a distance from him, considering it beneath his dignity to pay attention to him.
All in all, we were getting along admirably well considering how much time we spent in each other's company.
Reading their minds confirmed they were considering the demons' offers.
Prince Vasili looked questioningly at the princess, but could not make out whether she was considering what he had just said or whether she was simply looking at him.
Cynthia finished her wedding pronouncement by tossing out a comment about her foolish son considering delaying the final year of his education to play professional baseball, a decision against which she and Rose Calvia planned to exert a full court press.
(This Frenchman and one of the German princes serving with the Russian army were discussing the siege of Saragossa and considering the possibility of defending Moscow in a similar manner.)
Damian had been considering how to help Sofia adjust.
Considering the last person she thought might be one of his customers, the idea wasn't all that comforting.
Considering her own feelings about Alex, and the fact that he was a lot like his father, it wasn't hard to imagine that his mother never got over Señor Medena.
"I hope Edith and Donnie aren't considering taking up the sport," Cynthia replied with a shudder.
The old prince dressed leisurely in his study, frowning and considering what he was to do.
A painstaking police officer, considering the presence of a corpse in his excellency's courtyard unseemly, told the dragoons to take it away.
She ordered me up for a job, but I'm considering not going back.
Having glanced through the dispatch he laid it on the table and looked at Prince Andrew, evidently considering something.
And without considering the multiplicity and complexity of the conditions any one of which taken separately may seem to be the cause, he snatches at the first approximation to a cause that seems to him intelligible and says: "This is the cause!"
I think I'm doing pretty damn good, considering I would've been able to kill him if you hadn't shot and run me over, he replied in irritation.
He stared at her, considering and wary, in a way that made her uncomfortably fevered.
Her frown deepened when she looked at Ne'Rin, and her gaze grew intense and considering when she regarded him.
Prince Bolkonski glanced at the young man as if about to say something in reply, but changed his mind, evidently considering him too young.
Anatole had no notion and was incapable of considering what might come of such love-making, as he never had any notion of the outcome of any of his actions.
In my account of Helen last year, I mentioned several instances where she seemed to have called into use an inexplicable mental faculty; but it now seems to me, after carefully considering the matter, that this power may be explained by her perfect familiarity with the muscular variations of those with whom she comes into contact, caused by their emotions.
He was pleasantly considering the probability of being promoted in a few days for his last reconnoitering expedition, and was awaiting Denisov, who had gone out somewhere and with whom he wanted a talk.
Only Countess Helene, considering the society of such people as the Bergs beneath her, could be cruel enough to refuse such an invitation.
And considering it polite to return the young count's compliment, Ilagin looked at his borzois and picked out Milka who attracted his attention by her breadth.
Natasha quietly repeated her question, and her face and whole manner were so serious, though she was still holding the ends of her handkerchief, that the major ceased smiling and after some reflection-- as if considering in how far the thing was possible--replied in the affirmative.
Half an hour later he was driving with his fast horses across the Sokolniki field, no longer thinking of what had occurred but considering what was to come.
That she had not heard from Prince Andrew himself, Princess Mary attributed to his being too weak to write or to his considering the long journey too hard and too dangerous for her and his son.
His considering gaze returned to Darian.
Considering how much Gabriel couldn.t tolerate sunlight, Rhyn was surprised to see him during daylight at all, let alone without his shades.
She ordered me up for a job, but I.m considering not going back.
Considering this, I felt it right to tell you, he said.
Evelyn moved after a long, considering look, leaving the studio for the kitchen.
He was silent for a ten-count, as if considering his options.
Cynthia looked at him and began to nod her head, considering the possibility.
God, I can't be sitting here considering for even a minute, my wife might be a killer!
His considering gaze returned to Darian.
Considering how much Gabriel couldn.t tolerate sunlight, Rhyn was surprised to see him during daylight at all, let alone without his shades.
He was silent for a ten-count, as if considering his options.
A member of the Hofkriegsrath from Vienna had come to Kutuzov the day before with proposals and demands for him to join up with the army of the Archduke Ferdinand and Mack, and Kutuzov, not considering this junction advisable, meant, among other arguments in support of his view, to show the Austrian general the wretched state in which the troops arrived from Russia.
For some time he stood in silence considering whether he should follow him or go away.
The tall lad, standing in the porch, turned his bleared eyes from the publican to the smith and back again as if considering whom he ought to fight now.
In alarm he wishes to flee, considering himself lost.
Considering the information Katie had just disclosed, it wasn't surprising that he wanted to be in control - or that he had chosen a wife who asked few questions.
Sure, I knew what I was considering was contemptible but I figured all I was doing was identifying him; not stopping the good stuff he was doing... what all you guys, were doing up here.
This man's look was considering, as if he were trying to memorize her features in case he needed the information in the future.
Except… He trailed off, giving her a considering look.
"That's for considering asking me to betray someone else's trust," Andre said with a grin.
"No one-night stands," she said, though her tone was considering.
"You may not be strong enough yet," Bianca said, considering.
Maybe it was merely love that made her view him that way, but considering all the second and third glances he got from other women, she doubted it.
Considering how she was living when he met her, he could believe it... only she wasn't happy when he first met her.
Darkyn's gaze turned considering.
Eternity in such an unequal partnership wasn't even worth considering.
There was no option you were considering?
Rhyn met his gaze, leery as Kiki turned, considering.
She sensed a brick wall and hesitated, considering.
Rhyn gazed at her, considering.
Somehow, considering Gladys, Effie or Claire seemed to stretch common sense more than an overweight bungee jumper.
I suppose letting someone into a guest's room is against a bunch of innkeeper laws but considering the circumstances, I'll stick my neck out.
Actually, I was considering a departure from my usual costume.
He found that puzzling, never considering himself to have much of a conscience.
Especially considering the way I deserted him after graduation.
Considering the things you say you did, that was an accomplishment in itself.
Josh wasn't considering her obstacles.
Why was she even considering a man who didn't want children?
Another would be Josh, because you are still considering him.
Surely Alex was considering marriage now.
She crossed her arms, considering.
She'd proven how willing she was to become his companion, a surprise considering she really did seem fragile in his world.
She saw the considering look he gave Brady before he looked again to her.
"Brady," Tim said, considering.
"His soul should've been just one more jewel for your collection, considering how many souls you deal with and relationships you break a part." Including ours.
I wasn't considering it. I'll keep her alive until Rhyn passes his test.
"He'd have to defy Death to keep a human alive in her domain," Rhyn said, considering.
She took her time considering this question.
How about considering the obvious?
You go out with the local World Wide guy and have pizza and beer—lots of beer, considering what he spent.
She took her time considering her answer.
I guess I would though, considering my experience.
That wasn't too surprising, considering the fact that she insisted she wasn't a social person.
Considering the number of times she had pushed his hands away, it must be her breasts.
Considering what happened to him before – with his fiancé leaving him after he spent all that money...
Considering the fact that he makes such an effort at protecting you, I don't think he'd take your concerns lightly or think any less of you because you had them.
Pretty words again - and yet, considering his history with women, maybe they were more than mere words.
That would be the smart thing to do, considering his past experience.
Considering all the things she had heard, husbands as responsible and trustworthy as Alex were a rare breed.
Considering the way she had been acting for the last four months, he probably thought she'd get hysterical.
That's an unusual thing to say considering how long you've known him.
Considering what happened to you there, I don't know how you can look at it with any kind of fondness.
He did not like the tone of her voice, at once considering and deceptive.
The men in his party were restless, considering.
She swirled it, considering when she had last drunk some of the sweet, tart cider.
The demon had stilled, once again considering.
She was considering getting one of the men to carry it to the barn when Gerald and Sam arrived on horseback.
Alondra stopped crying and stared at him, obviously considering that for the first time.
He hadn't been considering divorce before, but now she had put it in his mind.
She wandered toward the verandah, considering everything necessary to prepare for the trip.
She created that side of him for her purposes without considering what happened, once she saved her world.
"Really?" she asked, considering.
Jessi wondered if she was the only one who heard Xander, which made no sense, considering the photographer stood between her and the massive man.
The photographer seemed to be considering.
It was obviously no obstacle, considering you've got your coffee and your bed is empty.
"Gerry's the kind who gets his ass kicked by girls, and I know I didn't do that," he said, considering her.
Your cousin is considering dating a man she'd have to defend in a dark alley.
The three were silent, though the one she faced appeared to be considering.
They were nice enough guys, considering they were just as insane as Xander.
Parents wouldn't take them, which is no surprise, considering they never wanted the kid they had.
I'm considering keeping you, Jessi, assuming you survive this trial.
By the long, considering look she then gave Xander, she was trying to figure out what to do.
Considering the wide differences between the two groups in the size and external characters, and in the mode of life, including the mode of feeding, it is indeed surprising that in every important organ the two groups should show a fundamental morphological identity.
While the council was engaged in planning a crusade and in considering the reform of the clergy, a new crisis occurred between the pope and the king of France.
Before considering observational data, it is expedient to mention various sources of uncertainty.
Two-fifths of the land belongs to the state, and two-fifths more to the various communes; the remaining fifth is minutely subdivided among a large number of small proprietors, many of whom have been expropriated from inability to pay the taxes, which, considering the low value of the land, are too heavy; while the state is unable to let a large proportion of its lands.
Mass meetings were held, and a committee was appointed for the purpose of considering what action should be taken to defeat the ambitious designs of the provincials.
Considering the circumstances in which General Roca assumed office, it must be admitted that he showed great moderation and used the practically absolute power that he possessed to establish a strong central government, and to initiate a national policy, which aimed at furthering the prosperity and development of the whole country.
In September 1844 Calhoun, then secretary of state, sent Green to Texas ostensibly as consul at Galveston, but actually, it appears, to report to the administration, then considering the question of the annexation of Texas, concerning the political situation in Texas and Mexico.
There was no birthright attaching to the position of eldest son, but he usually acted as executor and after considering what each had already received equalized the shares.
Considering the time at which he wrote, Reis seems to have understood very well the nature of the vibrations he had to reproduce, but he failed to comprehend how they could be reproduced by electricity.
This might possibly be true to a small extent; but, considering the small capacity of the circuits he used and the nature of his receiving instrument, it is hardly probable that duration of contact sensibly influenced the result.
While considering that a really efficient Post Office service would afford the best means for securing such competition, it recommended that general, immediate and effective competition should at once be undertaken either by the Post Office or by local authorities.
Even in the summer and autumn a large proportion of the army consisted of men with but a few months servicea highly dangerous state of things considering the peculiar mobilization conditioss of the country.
These figures include not only the categories of income and expenditure proper, but also those known as movement of capital, railway constructions and part ite di giro, which do not constitute real income and expenditure.i Considering only income and expenditure proper, the approximate totals are:
He was regarded as the most careful writer on the war with Hannibal, and one who did not allow himself to be blinded by partiality in considering the evidence of other writers (Cicero, De Oratore, ii.
Now, in considering the body of writings connected with this Veda, we are at once confronted by the fact that there are two different schools, an older and a younger one, in which the traditional body of ritualistic matter has been treated in a very different way.
Considering that this book was written before the time of Haller, or Bonnet, or Linnaeus, or Hutton, it surely deserves more respectful consideration than it usually receives.
Degrees in science and pharmacy are granted by the universities of Manchester and Glasgow, and other universities were in 1910 considering the question of granting degrees.
It is found in most of P all I of those Pteridophytes which we have other reasons for e considering as primitive types, and essentially the same Ontogeny type is found, as we have seen, in the independently with developed primitive conducting system of the mossPh.~logeny.
To this it may be replied that pure morphology and organography are not alternatives, but are two complementary and equally necessary modes of considering the composition of the plant-body.
Political geography takes account of the partition of the earth amongst organized communities, dealing with the relation of races to regions, and of nations to countries, and considering the conditions of territorial equilibrium and instability.
Properties.-Sulphur exists in several allotropic modifications, but before considering these systematically we will deal with the properties of ordinary (or rhombic) sulphur.
- Much difference of opinion has prevailed with regard to the curious, tiny, parasitic insects included in this division, some authorities considering that they should be referred to a distinct order, while others would group them in the family Meloidae just described.
Swinburne agrees with Gifford in thinking Ford the author of the whole of the first act; and he is most assuredly right in considering that "there is no more admirable exposition of a play on the English stage."
He at once summoned the fourteenth general council of the Catholic Church, which met at Lyons in 1274, with an attendance of some 1600 prelates, for the purpose of considering the eastern schism, the condition of the Holy Land, and the abuses in the church.
As a precaution against Tatar invasions he founded fortified towns on his southern frontiers - Tambov, Kozlov, Penza and Simbirsk; but when the Don Cossacks offered him Azov, which they had captured from the Turks, and a National Assembly, convoked for the purpose of considering the question, were in favour of accepting it as a means of increasing Russian influence on the Black Sea, he decided that the town should be restored to the sultan, much to the disappointment of its captors.
he ordered the rules to be strictly carried out, without considering what an enormous amount of hardship and suffering such an order entailed.
In considering the forces that produce derailment the total mass of the vehicle or locomotive may be supposed to be concentrated at its centre of gravity.
Another of Roberval's discoveries was a very general method of drawing tangents, by considering a curve as described by a moving point whose motion is the resultant of several simpler motions.
Many of his complaints of the system were certainly just; but it may be doubted whether any university system would have been profitable to him, considering his antecedents.
He complains of the busy idleness in which his time was spent; but, considering the circumstances, so adverse to study, one is rather surprised that the military student should have done so much, than that he did so little; and never probably before were so many hours of literary study spent in a tent.
Gibbon, however, regrets that the style of his pamphlet was too acrimonious; and this regret, considering his antagonist's slight claims to forbearance, is creditable to him.
Lightfoot, on the contrary, endeavoured to make his author interpret himself, and by considering the general drift of his argument to discover his meaning where it appeared doubtful.
There is quite a different method of considering the nebular origin of our system, which leads in a very striking manner to conclusions practically identical with those we have just sketched.
To start with the last before considering (a) and (b) would be futile.
Convinced as he was of the necessity for union and reform, he contributed more than any one to the adoption of the principle that, since the schism had survived the council of Pisa, it was necessary again to take up the work for a fundamental union, without considering the rights of John XXIII.
The nephridia of the Polychaeta have been generally dealt with above in considering the nephridial system of the Chaetopoda as a whole.
With the physiocrats, he believed in an enlightened absolutism, and looked to the king to carry through all reforms. As to the parlements, he opposed all interference on their part in legislation, considering that they had no competency outside the sphere of justice.
Considering that the results of Hellriegel and Wilfarth on this point were, if confirmed, of great significance and importance, it was decided to make experiments at Rothamsted on somewhat similar lines.
About the time that Buffon was bringing to an end his studies of birds, Mauduyt undertook to write the Ornithologie of the Encyclopedic methodique - a comparatively easy task, considering the recent works of his fellow-countrymen on that subject, and finished in 1784.
Temminck, whose father's aid to Le Vaillant has already been noticed, brought out at Paris a Histoire naturelle des pigeons illustrated by Madame Knip, who had drawn the plates for Desmarest's volume.3 Since we have begun by considering these large illustrated works in which the text is made subservient to the coloured plates, it may be convenient to continue our notice of such others of similar character as it may be expedient to mention here, though thereby we shall be led somewhat far afield.
Before considering the ornithological works relating solely to the British Islands, it may be well to cast a glance on a few of those that refer to Europe in general, the more so since most of them are of Continental origin.
Considering the enormous stride in advance made by L'Herminier, it is very disappointing for the historian to have to record that the next inquirer into the osteology of birds achieved a Berthold.
Considering the extent of their materials, which was limited to the bodies of such animals as they could obtain from dealers and the several menageries that then existed in or near London, the progress made in what has since proved to be the right direction is very wonderful.
There are no figures obtainable as to the production, but it must be very large, considering that the crop provides clothing for a large proportion of the population of China.
- Considering the extensive area of uninhabitable mountain land it contains, the Territory supports a large population.
It is the most important of the works attributed to Lanfranc; which, considering his reputation, are slight and disappointing.
We begin by considering the laws of motion in the orbit itself, regardless of the position of the latter.
1 The metals of the alkaline-earths were somewhat neglected; we find Georg Agricola considering gypsum (calcium sulphate) as a compound of lime, while calcium nitrate and chloride became known at about the beginning of the 17th century.
In the following year he announced that silica was the oxide of a hitherto unrecognized element, which he named silicium, considering it to be a metal.
Considering derivatives primarily concerned with transformations of the hydroxyl group, we may regard our typical acid as a fusion of a radical R CO - (named acetyl, propionyl, butyl, &c., generally according to the name of the hydrocarbon containing the same number of carbon atoms) and a hydroxyl group. By replacing the hydroxyl group by a halogen, acid-haloids result; by the elimination of the elements of water between two molecules, acid-anhydrides, which may be oxidized to acid-peroxides; by replacing the hydroxyl group by the group. SH, thio-acids; by replacing it by the amino group, acid-amides (q.v.); by replacing it by the group - NH NH2, acid-hydrazides.
This formula, notwithstanding many attempts at both disproving and modifying it, has well stood the test of time; the subject has been the basis of constant discussion, many variations have been proposed, but the original conception of Kekule remains quite as convenient as any of the newer forms, especially when considering the syntheses and decompositions of the benzene complex.
P. Griess (Ber., 1872, 5, p. 192; 18 74, 7, p. 1223) orientated the three diaminobenzenes or phenylene diamines by considering their preparation by the elimination of the carboxyl group in the six diaminobenzoic acids.
The orientation of higher substitution derivatives is determined by considering the diand tri-substitution compounds into which they can be transformed.
This is readily illustrated by considering the properties of gases - the simplest state of aggregation.
If we denote the critical volume, pressure and temperature by Vk, Pk and Tk, then it may be shown, either by considering the characteristic equation as a perfect cube in v or by using the relations that dp/dv=o, d 2 p/dv 2 =o at the critical point, that Vk = 3b, Pk= a/27b2, T ic = 8a/27b.
the actual volume of the molecules; this is obvious by considering the result of making T zero in the characteristic equation.
The value of d can be evaluated by considering the combustion of amorphous carbon to carbon monoxide and carbon dioxide.
Atomic refractions may be obtained either directly, by investigating the various elements, or indirectly, by considering differences in the molecular refractions of related compounds.
The above may be illustrated by considering the equilibrium between rhombic and monoclinic sulphur.
The treaty with the Latins is mentioned by Dionysius of Halicarnassus alone, who had not seen it himself; indeed, it is doubtful whether it was then in existence, and in any case, considering the changes which the language had undergone, it would have been unintelligible.
As early as 1660 George Fox was considering the question of buying land from the Indians.
Augustus set himself against the undue multiplication of manumissions, probably considering the rapid succession of new citizens a source of social instability, and recommended a similar policy to his successor.
The line of the road is, considering the difficulty of the country beyond Gabii, very straight.
1, 1 9 03), considering it more important to complete his work in South Africa, where economic depression was becoming pronounced.
This contradiction arises from considering the class possessing as members all classes which are not members of themselves.
Considering the dilatory methods of Orientals, even when they are creditors, it is doubtful whether this sum adequately covers the whole of the claims outstanding, and it may be found difficult, even for a parliament, to refuse claims which should equitably be admitted and which may be preferred later.
However, Michael Wiesnowiecki, king of Poland, considering the Ukraine as under his protection, sought to intervene, with the result that Turkey declared war against him (1672).
Considering however the two sections of the Passover separately, it is remarkable how many of the ceremonies associated either historically or ceremonially with the Passover have connexion with the idea of a covenant.
Of the greatest importance is the alcoholic fermentation brought about by yeast cells (Saccharomyces cerevisiae seu vini); this follows the equation CH120 6 =2C 2 H 6 0+2CO 2, Pasteur considering 94 to 95% of the sugar to be so changed.
Not considering its situation sufficiently strong, he moved to the neighbouring new settlement of the Hussites, to which the biblical name of Tabor was given.
In the Testicardines, where no such sliding action of the valves was necessary or possible, no muscles for such an object were required, consequently none took rise from the lateral portions of the valves as in Lingula; but in an extinct group, the Trimerellidae, which seems to be somewhat intermediate in character between the Ecardines and Testicardines, have been found certain scars, which appear to have been produced by rudimentary lateral muscles, but it is doubtful (considering the shells are furnished with teeth, though but rudely developed) whether such muscles enabled the valves, as in Lingula, to move forward and backward upon each other.
By considering only the particles of air found in a right line, he reduced the problem of the propagation of sound to the solution of the same partial differential equations that include the motions of vibrating strings, and demonstrated the insufficiency of the methods employed by both his great contemporaries in dealing with the latter subject.
Brazil is lamentably deficient in steamship communication considering its importance in a country where the centres of population are separated by such distances of coasts and river.
The export of cabinet woods is not large, considering the forest area of Brazil and the variety and quality of the woods.
The intellect collects the universal, which exists but not as a substance (est sed non substat), from the particular things which not merely are (sunt) but also, as subjects of accidents, have substantial existence (substant), by considering only their substantial similarity or conformity.
Efforts to create a native industry date only from 1867, and, considering the shortness of the time and other adverse factors, such as scarcity of capital, lack of means of communication, the development of industry in the neighbouring state of Austria, &c., the industry of Hungary has made great strides.
(iii.) Scales of Notation lead, by considering, e.g., how to express in the scale of to a number whose expression in the scale of 8 is 2222222, to (iv.) Geometrical Progressions.
We should have arrived at this form in (i.) by considering the selection of terms in which there are to be two large and three small letters, the large letters being written down first.
We therefore take a third step, and obtain theoretical continuity by considering that every point on the line, if it does not represent a rational number, represents something which may be called an irrational number.
In considering the relative brightnesses of the different spectra, it is therefore sufficient to attend merely to the principal directions, provided that the whole deviation be not so great that its cosine differs considerably from unity.
One or two examples have already attracted our attention when considering Fresnel's zones, viz.
When Kruger found that no concession was to be wrung from the British government, he proceeded, instead of considering grievances, to add considerably to their number.
Exudates are poured out under inflammatory conditions, while none of the truly dropsical effusions are of inflammatory origin; and hence the class of exudates, as above defined, may be rejected from the category of liquids we are at present considering.
The question of the authorship cannot, however, be decided without considering the internal evidence, the interpretation of which in the case of the Third Gospel and the Acts (the other writing attributed to Luke) is a matter of peculiar interest.
This is proved by taking any two points A and B at the same level, and considering the equilibrium of a thin prism of liquid AB, bounded by planes at A and B perpendicular to AB.
This is proved by taking the two points A and B in the same vertical line, and considering the equilibrium of the prism by resolving vertically.
In considering the motion of a fluid we shall suppose it non-viscous, so that whatever the state of motion the stress across any section is normal, and the principle of the normality and thence of the equality of fluid pressure can be employed, as in hydrostatics.
The equations of motion can be established in a similar way by considering the rate of increase of momentum in a fixed direction of the fluid inside the surface, and equating it to the momentum generated by the force acting throughout the space 5, and by the pressure acting over the surface S.
Taking two planes x = =b, and considering the increase of momentum in the liquid between them, due to the entry and exit of liquid momentum, the increase across dy in the direction Oy, due to elements at P and P' at opposite ends of the diameter PP', is pdy (U - Ua 2 r2 cos 20 +mr i sin 0) (Ua 2 r 2 sin 2 0+mr 1 cos 0) + pdy (- U+Ua 2 r 2 cos 2 0 +mr1 sin 0) (Ua 2 r 2 sin 2 0 -mr 1 cos 0) =2pdymUr '(cos 0 -a 2 r 2 cos 30), (8) and with b tan r =b sec this is 2pmUdo(i -a 2 b2 cos 30 cos 0), (9) and integrating between the limits 0 = 27r, the resultant, as before, is 27rpmU.
As an application of moving axes, consider the motion of liquid filling the ellipsoidal case 2 y 2 z2 Ti + b1 +- 2 = I; (1) and first suppose the liquid be frozen, and the ellipsoid l3 (4) (I) (6) (9) (I o) (II) (12) (14) = 2 U ¢ 2, (15) rotating about the centre with components of angular velocity, 7 7, f'; then u= - y i +z'i, v = w = -x7 7 +y (2) Now suppose the liquid to be melted, and additional components of angular velocity S21, 522, S23 communicated to the ellipsoidal case; the additional velocity communicated to the liquid will be due to a velocity-function 2224_ - S2 b c 6 a 5 x b2xy, as may be verified by considering one term at a time.
We get at the meaning of the term most easily by considering what it is that "relativity" is opposed to.
But there seems no reason for doubt; the great grammarians of imperial times (Apollonius Dyscolus and Herodian) were acquainted with the work in its present form, although, as was natural considering its popularity, additions and alterations may have been made later.
The first volume, Vegetable Staticks (1727), contains an account of numerous experiments in plant-physiology - the loss of water in plants by evaporation, the rate of growth of shoots and leaves, variations in root-force at different times of the day, &c. Considering it very probable that plants draw "through their leaves some part of their nourishment from the air," he undertook experiments to show in "how great a proportion air is wrought into the composition of animal, vegetable and mineral substances"; though this "analysis of the air" did not lead him to any very clear ideas about the composition of the atmosphere, in the course of his inquiries he collected gases over water in vessels separate from those in which they were generated, and thus used what was to all intents and purposes a "pneumatic trough."
Considering that this man had neither art educaDeparture.
But this phraseology soon disappears, without his considering how, in default of some sort of teleology, it is legitimate to treat the world's history as a process.
"In the beginning of my mathematical studies, when I was perusing the works of the celebrated Dr Wallis, and considering the series by the interpolation of which he exhibits the area of the circle and hyperbola (for instance, in this series of curves whose common base 0 or axis is x, and the ordinates respectively (I -xx)l, (i (I &c), I perceived that if the areas of the alternate curves, which are x, x 3x 3, x &c., could be interpolated, we should obtain the areas of the intermediate ones, the first of which (I -xx) 1 is the area of the circle.
From a literary point of view, indeed, it cannot compare with the dignified Hebrew narrative, but considering the misfortunes which have befallen the collection of Zoroastrian traditions now represented by the Bundahish (the Parsee Genesis) we cannot reasonably be surprised.
So far we have been considering alloys containing two metals; the phenomena they present are by no means simple.
The importance is now widely recognized of considering the mechanical properties of alloys in connexion with the freezing-point curves to which reference has already been made, but the subject is a very complicated one, and all that need be said here, is that when considered in relation to their meltingpoints the pure metals are consistently weaker than alloys.
The significance of relation (I) is best appreciated by considering the graphic representation of quantities of heat and energy on a work-diagram.
This may be interpreted as the equation of the border curve giving the relation between p and 0, but is more easily obtained by considering the equilibrium at constant pressure instead of constant volume.
His character and pursuits are the more remarkable, considering the rank of life in which he was born and the circumstances under which he was brought up. In many respects he reminds.
Considering its depth this fountain must be dated back to the 5th century, probably near the beginning.
Of course this work was not accomplished in a day or in a year, but, considering the difficulties to be overcome, it was carried forward with marvellous expedition.
Considering the important part played by the Egyptian sojourn of the Hebrews, as narrated in the Scriptures, it was certainly not an overenthusiastic prediction that the Egyptian monuments when fully investigated would divulge important references to Joseph, to Moses, and to the all-important incidents of the Exodus; but half a century of expectant attention in this direction has led only to disappointment.
It would be rash, considering the buried treasures that may yet await the future explorer, to assert that such records as those in question can never come to light.
But, considering the fulness of the contemporary Egyptian records of the XIXth dynasty that are already known, it becomes increasingly doubtful whether the Hebrews in Egypt played so important a part in history, when viewed from the Egyptian standpoint, as their own records had seemed to imply.
Meanwhile the study of mathematics was not neglected, as appears not only from his giving instruction in geometry to his younger brother Daniel, but from his writings on the differential, integral, and exponential calculus, and from his father considering him, at the age of twenty-one, worthy of receiving the torch of science from his own hands.
In later memoirs Reynolds followed up this subject by proceeding to establish definitions of the velocity and the momentum and the energy at an element of volume of the molecular medium, with the precision necessary in order that the dynamical equations of the medium in bulk, based in the usual manner on these quantities alone, without directly considering thermal stresses, shall be strictly valid - a discussion in which the relation of ordinary molar mechanics to the more complete molecular theory is involved.
And, if he had, it had not been without cause, considering how he was used.
(written in the third person) the number of those that had intermarried with the heathen is relatively small considering the general trend of the preliminaries, and the list bears a marked resemblance to that in ch.
Considering the close connexion between the work of the two men this can hardly be accidental.
Considering the accuracy of these measures (an accuracy far surpassing that of any other contemporary observations), it is somewhat surprising that this form of micrometer was never systematically used in any sustained or important astronomical researches, although a number of instruments of the kind were made by Dollond.
4 I criticizing Bessel's choice of methods, and considering the loss of time involved in each, it must be remembered that Fraunhofer provided no means of reading the screws or even the heads from the eye-end.
It is, however, a curious question how, considering the increase of carbonic acid by the decomposition of organic bodies and possible submarine exhalations of volcanic origin, the water has not in some places become saturated and a precipitate of amorphous calcium carbonate formed in the deepest water.
The nature of the Coal Measures will be best understood by v1.19 considering in detail the areas within which they occur in Britain, together with the rocks with which they are most intimately associated.
Such a mass of imaginary matter as we are now considering may be compared to a collection of heavy particles held in position relatively to one another by a system of light spiral springs, one spring being supposed to connect each pair of adjacent particles.
Considering only those states of the system which have a given value of E2, it can be proved, as a theorem in pure mathematics,' that when s, s', ...
Considering the really few colours that the birds exhibit, the variation is something marvellous, so that fifty examples may be compared without finding a very close resemblance between any two of them, while the individual variation is increased by the "eartufts," which generally differ in colour from the frill.
The underlying idea of manoeuvring in two wings and a reserve should be kept in mind when considering this letter.
The expression 27ra for the length of the circumference can be deduced by considering the limit of the area cut off from a circle of radius a by a concentric circle of radius a - a, when a becomes indefinitely small; this is an elementary case of differentiation.
By considering the circle as the limit of a polygon, it follows that the formulae (iii) and (v) of § 26 hold for a right circular cylinder and a right circular cone; i.e.
Considering, then, his other differences from Anabaptist theories, and the absence of any hint to the contrary in his own autobiographical references, " it is safe to affirm that he had no conscious indebtedness to the Anabaptists " (Williston Walker, Creeds and Platforms of Congreg., New York, 1893, p. 16).
Considering his force (about 1450) insufficient for an attack on the fortifications, he withdrew a short distance north of Camden to an advantageous position on Hobkirk's Hill, where on the 25th of April Rawdon, with a force of only 950, took him somewhat by surprise and drove him from the field.
As sound arises in general from vibrating bodies, as it takes time to travel, and as the medium which carries it does not on the whole travel forward, but subsides into its original position when the sound has passed, we are forced to conclude that the disturbance is of the wave kind, We can at once gather some idea of the nature of sound waves in air by considering how they are produced by a bell.
When the value of dyldx is not very small E is no longer constant, but is rather greater in compression and rather less in extension than -yP. This can be seen by considering that the relation between p and is given by a curve and not by a straight line.
The nature of these conditions will be best realized by considering the case of a stretched string.
We shall exemplify this subject by considering the case of two waves travelling in the same direction through the air.
The formation of beats may be illustrated by considering the disturbance at any point due to two trains of waves of equal amplitude a and of nearly equal frequencies n, n2.
If, instead of considering one point in a succession of instants, we consider a succession of points along the line of propagation at the same instant, we evidently have waves of amplitude varying from 2a down to o, and then up to 2a again in distance U/(ni - n2).
His style was high-flown and artificial, as was natural considering his early training, and he frequently sacrificed truth to rhetoric effect; but, according to Dionysius of Halicarnassus, he and Theopompus were the only historical writers whose language was accurate and finished.
As we have found it necessary to distinguish between the original composition by Mark, to whom in the main the work appears to be due, and some enlargement and alteration which it subsequently underwent whereby it reached its present form, these stages must be borne in mind in considering dates that may be assigned in connexion with this Gospel.
On the contrary, few men were more deliberate in considering all sides of an important problem.
The conduct of Grimm to him was certainly bad; and, though Walpole was not his personal friend, a worse action than his famous letter, considering the well-known idiosyncrasy of the subject, would be difficult to find.
The place thus became of considerable strategic and commercial importance, and the comparatively mild climate (considering its northerly situation) led to the erection of villas which Martial (Epigr.
Meanwhile the Spanish government was considering whether the Moluccas did not fall within the Spanish sphere of influence as defined by the Treaty of Tordesillas in 1494; and in August 1519 an expedition commanded by Ferdinand Magellan sailed from Seville to seek a westward passage to the archipelago.
Considering the small size of Geneva, till recently,it is surprising how many celebrated persons have been connected with it as natives or as residents.
The reason of this will appear more clearly in the sequel; it is enough to observe at present that, before our English word was formed, the original idea of a presbyter had been overlaid with others derived from pre-Christian priesthoods, so that it is from these and not from the etymological force of the word that we must start in considering historically what a priest is.
This was the long task essayed by Scholasticism; and, though the great Schoolmen of the 13th century refrained from attempting to rationalize such doctrines as the Trinity and the Incarnation, they were far from considering Theory of them as essentially opposed to reason.
He was full of the idea of a league of republics against the league of sovereigns; but he was unaware that the Jacobins themselves were already considering the best mode of detaching Prussia, Poland's worst enemy, from the anti-French coalition.
None extend farther to the westward than the valley of the Indus,' which, considering the nature of the country in Baluchistan and Afghanistan, is perhaps intelligible enough; but it is not so easy to understand why none are found either in Cochin China or China proper; and they are also wanting in the Philippine Islands, which is the more remarkable and instructive when we find how abundant they are in the groups a little farther to the southward.
A close and somewhat strange intimacy, considering the difference in the characters and ideals of the two men, between Laud and Buckingham now began, and proved the chief instrument of Laud's advancement.
Introducing another letter z, and considering the function I+xz.
And similarly, considering the function I +z(x+x2+..)...+Nxnzk-..
Considering the imprisonment of the ostracod body within the valves, it is more surprising that the Asteropidae and Cypridinidae should have a pair of compound and sometimes large eyes, in addition to the e median organ at the base of I the " frontal tentacle," than 6 that other members of the group should be limited to P that median organ of sight, or have no eyes at all.
In dealing, therefore, with the textual criticism of the Old Testament it is necessary to determine the period at which the text assumed its present fixed form before considering the means at our disposal for 'controlling the text when it was, so to speak, in a less settled condition.
He concludes: " But considering the inscriptions, or titles of their books, it is manifest enough that the whole Scripture of the Old Testament was set forth in the form we have it after the return of the Jews from their captivity in Babylon and before the time of Ptolemaeus Philadelphus."
In considering the flora of the islands it is necessary to distinguish between the rich vegetation of the fertile volcanic islands and the poor vegetation of the coral islands.
In considering the marine fauna the remarkable palolo or balolo should be mentioned.
-- Unfortunately, so very little is known of the ages of weights and measures that this datum -- most essential in considering their history -- has been scarcely considered.
and, considering that the two Hebrew cubits are the Babylonian and Persian units, and the volumes are also Babylonian, it is the more likely that the weights should have come with these.
A relation which is of historical interest connects the logarithmic function with the quadrature of the hyperbola, for, by considering the equation of the hyperbola in the form xy=const., it is evident that the area included between the arc of a hyperbola, its nearest asymptote, and two ordinates drawn parallel to the other asymptote from points on the first asymptote distant a and b from their point of intersection, is proportional to log bla.
Thus Caesar's work remained unfinished, and this must be borne in mind in considering his record of legislative and administrative reform.
In this same year, considering themselves ill-used by Olivarez, prime minister of Philip IV.
Considering the part he played in this transaction, Walsingham was fortunate to escape the fate which the queen with calculated indignation inflicted upon Davison.
Such was the structure of the appendages in Trilobites belonging to the genus Triarthrus; but considering the great structural differences that obtain between Triarthrus and many other genera, it would be rash to assume that there were not corresponding differences in the structure of the limbs.
In considering the occurrence of Trypanosomes in mammals, careful distinction must be drawn between natural or true hosts, which are tolerant of the parasites, and casual ones, which are unaccustomed and unadapted to them.
Considering them first in a tolerant host, the trend of observation is to show that they are never abundant, but on the contrary usually somewhat scarce.
In many cases, at any rate, this indicates a difference in sexuality; and it is particularly necessary to bear this factor in mind when considering the avian Trypanosomes, where, perhaps, the extremes of form are to be met with.
By the end of that century or the beginning of the 19th their doctrine had become so clearly defined, and the number of their members had so greatly increased, that the Russian government and Church, considering this sect to be peculiarly obnoxious, started an energetic campaign against it.
Again, the forests of most of the eastern region embrace a variety of species, which, as a rule, are very much intermingled, and do not, unless quite exceptionally, occupy areas chiefly devoted to one species; while, on the other hand, the forests of the westincluding both Rocky Mountain and Pacific coast divisionsexhibit a small number of species, considering the vast area embraced in the region; and these species, in a number of instances, are extraordinarily limited in their range, although there are cases in which one or two species have almost exclusive possession of extensive areas.
But they were, considering the conditions under which the instrument was framed, comparatively few, and the Constitution, when one regards it as a piece of drafting, deserves the admiration which it has received from nearly all American and most foreign critics.
This was one of the acts brought up against him by the senatus-consulte of the 3rd of April 1814, which pronounced his fall "considering that he has violated the constitutional laws by the decrees on the state prisons."
A further deduction from the principle of continuity follows by considering the intersections of concentric circles.
In 1864 came the opportunity for change, when New Brunswick, Nova Scotia and Prince Edward Island were considering a federal union.
Considering the vastness of the stat interests involved, there is much cause for satisfaction in the fact that these differences have been settled by peaceful arbitrament rather than by that recourse to force which has so often marked the delimitation of rights and territory on other continents.
The readings of X which can be deduced from considering the agreements in B, C, D will be of higher antiquity and of greater external aut l ority than any of the readings in B, C, D taken singly.
Considering the liability of corruption to breed corruption we can hardly blame him if he does not, and we may say that it is no derogation to his fides if he makes self-evident corrections.
Now, it is probable that the arrangement of the works which we are considering was done by the Peripatetic successors of Aristotle.
It is more likely that Aristotle identified pleasure with activity in the De Anima, the Metaphysics and the three moral treatises, as we have seen; but that afterwards some subsequent Peripatetic, considering that the pleasure of perceiving or thinking is not the same as perceiving or thinking, declared the previous identification of pleasure with activity absurd.
Considering the circumstances of the moment, Hodson's act at the worst was one of irregular justice.
p. 385) in considering Pss.
Many of the young men and women, who were supposed to be qualifying as specialists in the various spheres of industrial and commercial enterprise, were in reality devoting their time to considering how human society in general, and Russian society in particular, could be reconstructed in accordance with the latest physiological, biological and sociological principles.
In 1881 Mr Blaine, then U.S. secretary of state, addressed an instruction to the ministers of the United States of America accredited to the various Central and South American nations, directing them to invite the governments of these countries to participate in a congress, to be held at Washington in 1882, " for the purpose of considering and discussing the methods of preventing war between the nations of America."
Considering the great variety of spectra, which one and the same body may possess, the idea lies near that free electrons may temporarily attach themselves to a molecule or detach 'themselves from it, thereby altering the constitution of the vibrating system.
Considering the complexity of the subject it is not surprising that the efforts to connect theoretically the possible periods of the atom considered as a vibrating system have met with no considerable success.
The significance of the word "mean," i.e., middle, is seen by considering 3 instead of n quantities; these will be denoted by a, b, c. The arithmetic mean b, is seen to be such that the terms a, b, c are in arithmetical progression,.
His professional income amounted to £400 a year, equal to £4000 in present money, and, " considering the relative profits of the law and the value of money, probably indicated as high a station as £ io,000 at the present day " (Campbell).
In considering the origins of medieval churches, moreover, it must be borne in mind that as a general rule their builders were not actuated by the motives usual in modern times, at least among Protestants.
The study of evolution, without considering how many conditions are required for " the integration of matter and the dissipation of motion " to begin, and the undoubted discoveries which have resulted from the study of inorganic and organic evolution, have led men to expect too much from this one law of Nature.
In considering the force of instinct in animals he was obliged to divest will of reason.
He allows, in fact, no a priori forms except categories of the understanding, and these he reduces, considering that the most important are identity with difference and causality, which in his view are necessary to the judgments that the various data which make up a total impression (Gesammteindruck, Totaleindruck) are each different from the others, together identical with the total impression, and causally connected in relations of necessary sequence and coexistence.
Considering the state of systematic ornithology at the time, Shaw's assignment of a position to this new and strange bird, of which he had but the skin, does him great credit, for he said it seemed "to approach more nearly to the Struthious and Gallinaceous tribes than to any other."
For this reason some observers use a thin strip of phosphor bronze to suspend the magnet, considering that the absence of a variable torsion more than compensates for the increased difficulty in handling the more fragile metallic suspension.
There can be scarcely any doubt as to the propriety of considering this genus the type of a separate family of Psittaci; but whether it stands alone or some other forms (Pezoporus or Geopsittacus, for example, which in coloration and habits present some curious analogies) should be placed with it, must await future determination.
It is a complicated task to determine the true character and the tenets of any ancient sect, considering that almost all the information that has reached us has come from the opponents.
Indeed, considering the greatly increased size of the kingdoms in later times, it is improbable that they were drawn from any except the immediately adjacent districts.
Considering the great height of the snowy mountains about the valley, the climate of the Yosemite is remarkably mild.
It had also the duty of considering applications for the concession of indulgences and of interpreting the rules with regard to them.
These transcriptions show by their variety that they were made from the spoken and not from the written forms, and, considering the limited capacities of Chinese orthoepy, were the nearest attempt at rendering the Tibetan sounds.
In 1890 a treaty was concluded, and trade regulations under this treaty in 1893; but the negotiations were carried on with the Chinese authorities, and the lamas, considering themselves to have received insufficient recognition, repudiated them and offered further insults.
Before considering the more complicated case of a concentrated solution, we will deal with one which is very dilute, when the theoretical relations are much simplified.
The relation between hydrostatic pressure and the vapour pressure of a pure liquid may be obtained at once by considering the rise of liquid in a capillary tube.
In considering the corresponding relation for a solution instead of a pure liquid, possible differences in concentration make the column method difficult of application, and it is better to attach the problem by means of an imaginary cycle of isothermal operation.
The corresponding relation for a pure liquid can be regained by considering that at infinite dilution the liquid becomes pure solvent, and the change of volume becomes equal to the volume V.of solvent added.
Her foreign policy was as consistent as it could be considering the forces she had to contend against.
Considering, however, the numbers of venomous and innocuous snakes that occur in most tropical countries, it might be supposed that mimicry in this order of reptiles would be of commoner occurrence than appears to be the case.
The nature of the task and of the results may be best approached by considering the different divisions - North, South, East, West and Central Africa.
We give below that which seems to us to be the most satisfactory (based very largely on personal acquaintance with most parts of the range), considering, as in the case of the limits of the chain, only its topographical aspect, as it exists at the present day, while leaving it to geologists, botanists and zoologists to elaborate special divisions as required by these various sciences.
The general principle of all the machines described below will be best understood by considering a simple ideal case.
This behaviour is explained by considering the non-ionized part of the diazonium hydroxide to exist in solution in a hydrated form, the equation of equilibrium being: C6H6.N.
He had decided to begin the History, not with Henry VII., as Adam Smith recommended, but with James I., considering that the political differences of his time took their origin from that period.
He holds, apparently, that the foundation of all the science of number is the fact that each element of conscious experience is presented as a unit, and adds that we are capable of considering any fact or collection of facts as a unit.
An early step accomplished by Ostwald in this direction is to define ozone in its relation to oxygen, considering the former as differing from the latter by an excess of energy, measurable as heat of transformation, instead of defining the difference as diatomic molecules in oxygen, and triatomic in ozone.
Considering the hydrocarbons given by the general formula C x H y, the internal linkages of the carbon atoms need at least xi bonds, using up 2(xI) valencies of the 4x to be accounted for, and thus leaving no more than 2(x-11) for binding hydrogen: a compound C 3 H 9 is therefore impossible, and indeed has never been met.
Considering the predicted series of compounds C7,H2,,+2, which is the well-known homologous series of methane, the first member, the possible of isomerism lies in that of a different linking of the carbon atoms. This first presents itself when four are present, i.e.
And such other forces exist in the case we are considering.
In considering vernation we must take into account both the manner in which each individual leaf is folded and also the arrangement of the leaves in relation to each other.
France, considering that it is England's nearest neighbour, has a remarkably small tea consumption: 06 lb per person per annum, or about i hth only of the English rate.
The tadpoles grow to a large size considering that of the adult, the body equalling in size a sparrow's or even a small pigeon's egg, and they often remain more than a year in that condition.
Considering his want of experience of such rivers as the Nile, and the great difficulties he had to contend with under a succession of ignorant Turkish rulers, it would be unfair to blame him because, until it fell into the hands of British engineers in 1884, the work was condemned as a hopeless failure.
an~I a committee appointed by them had invited all Germans who then were, or who had formerly been, members of diets, as well as some other public men, to meet at Frankfort for the purpose of considering the question of national reform.
In considering what is the real significance of the great difference apparent in Table I.
Considering the interest which is taken in crocodiles and their allies, on account of their size, their dangerous nature and the sporting trophies which they yield, the following " key," based upon easily ascertained characters of the skull, is given.
Considering that his legal reforms are those by which his name is mainly known to posterity, it is curious that we should have hardly any information as to his legal knowledge, or the share which he took in those reforms. In person he was somewhat above the middle height, well-shaped, with plenty of fresh colour in his cheeks, and an extraordinary power of doing without food and sleep. He spent most of the night in reading or writing, and would sometimes go for a day with no food but a few green herbs.
Prosecutions were few in number, which is surprising considering the length and magnitude of the war.
Before this, state and Federal courts had taken wide latitude in considering the " general tendency " of utterances.
Indeed the genus Oedogonium exhibits a high degree of specialization in its reproductive system, considering that its thallus has not advanced beyond the stage of an unbranched filament.
Considering, however, that it is generally believed that Bryophyta and vascular plants are descended from an algal ancestry, it is natural to suppose that, prior to the luxuriant vegetable growths of the Carboniferous period, there must have existed an age of algae.
The duty of considering oneself part of comman humanity, of not differing from others by any peculiarity of behaviour, he sums up in the words: "Appear neither naked nor clothed, neither sitting nor standing, neither laughing nor weeping" (Tosef.
It deals with the history of the Church down to 1400, and considering the time at which it was written it is a remarkable monument to the scholarship of its authors.
While the nobles were in the church considering grievances, Robert Cochrane,recently created earl of Mar, one of the king's favourites, whose "removal" was at the very moment under discussion, demanded admittance.
It is necessary to allow for them in considering the failure of an individual candidate as an index of inefficiency..
There is no evidence to decide the question whether all the young anchovies as well as the adults leave the Zuider Zee in autumn, but, considering the winter temperature there, it is probable that they do.
monarchies in the book of Kings is singularly slight considering the extensive body of tradition which may be pre-supposed, e.g.
the Yahweh of Kadesh, Sinai, Jerusalem, &c.), and different priestly, prophetical and popular ideas are only to be expected, considering the character of Palestinian population.
Considering the character of Joseph as it was revealed by prosperity, one is tempted to find other explanations of his conduct than avarice.
and that he discovered its construction by considering the effects.
During the anxious months that followed the Austrian coup, the efforts of diplomacy were directed to calming the excitement of Servians, Montenegrins and the Young Turks, and to considering a European conference in which the fait accompli should be regularized in accordance with the accepted canons of international law.
The Values Deduced In This Manner For The Equivalent Agreed As Closely As Could Be Expected Considering The Impossibility Of Regulating The External Condition Of Temperature And Moisture With Any Certainty In An Engine Room.
The Values Of The Total Heat Observed By Regnault, As Reduced By Shaw, Also Show A Very Fair Agreement, Considering The Uncertainty Of The Units.
Considering The Wide Variations In The Physical Condition And Melting Points, The Comparatively Close Agreement Of The Atomic Heats Of The Metals At Ordinary Temperatures, Known As Dulong And Petit'S Law, Is Very Remarkable.
No Doubt There Must Be Approximate Relations Between The Atomic And Molecular Heats Of Similar Elements And Compounds, But Considering The Great Variations Of Specific Heat With Temperature And Physical State, In Alloys, Mixtures Or Solutions, And In Allotropic Or Other Modifications, It Would Be Idle To Expect That The Specific Heat Of A Compound Could Be Accurately Deduced By Any Simple Additive Process From That Of Its Constituents.
It is therefore perhaps misleading actually to class the sun with them; but it seems highly probable that whatever cause produces the periodic outbursts of spots and faculae on our sun differs only in degree from that which, in stars under a different physical condition of pressure and temperature, results in the gigantic conflagrations which we have been considering.
If, instead of considering the whole mass of stars, attention is directed to those of large proper motion, which are therefore in the mean relatively near us, the crowding to the galactic plane is much less noticeable, if not indeed entirely absent.
On considering the distribution of the stars according to their spectra, it appears that the Type II.
The progress made can only be realized by considering what prisons once were.
Madison's theory was that the legislature of Virginia, being one of the bodies which had chosen delegates to the constitutional convention, was legally capable of considering the question of the constitutionality of laws passed by the Federal government, and that the state of Virginia might invite other states to join her, but could not singly, as Calhoun argued, declare any law of the Federal legislature null and void.
propositions express in the last resort the relation of predicate or predicates to a subject, and this Leibnitz holds after considering the case of relational propositions where either term may hold the position of grammatical subject, A = B and the like.
The notions of the penumbra and umbra are important in considering eclipses (q.v.).
In Toby Shandy he has drawn a character universally lovable and admirable; but Walter Shandy is almost greater as an artistic triumph, considering the difficulty of the achievement.
Blaine withdrew his name there was a movement, begun by Republican congressmen, to nominate McKinley, who received 16 votes on the seventh ballot, but passionately refused to be a candidate, considering that his acquiescence would be a breach of faith toward Sherman.
It is as likely, considering the date of both, that they are equally descendants from an older source.
Others contended that the disease originated locally; and, indeed, considering previous history, no importation of plague would seem necessary to explain its presence in Europe.
Considering the great importance of arresting the spread of infection at the outset, and the implicit reliance placed upon bacteriological criteria, the aetiology of such antecedent ailments deserves more attention than has hitherto been paid to it.
His unconquerable cheerfulness becomes itself almost religious in the last chapters of the Natural Theology, considering that they were written during the intervals of relief from the painful complaint which finally proved fatal to him.
On the other hand, considering the late date of the authority for the Scandinavian traditions, we cannot be sure that the latter may not owe some of their material to English minstrels.
The stresses produced by extraneous forces in a simple frame can be found by considering the equilibrium of the various joints in a proper succession; and if the graphical method be employed the various polygons of force can be combined into a single force-diagram.
Considering a rigid body in any given position, we may eontemplate the whole group of infinitesimal displacements which might be given to it.
The argument appears in a more demonstrative form in the theory of similar systems, or (more precisely) of the similar motion of similar systems. Thus, considering the equations d2x u dix u1
If X, Y, Z are the components of force, then considering the changes in an infinitely short time 3t we have, by projection on the co-ordinate axes, i3(mu) =Xi5t, and so on, or du dv dw m-~jj=X, m~=Y, m~=Z.
If a be the semi-angle of the rolling cone, ~ the constant inclination of OC to OZ, and ~ the angular velocity with which the plane ZOC revolves about OZ, then, considering the velocity of a point in OC at unit distance from 0, we have wsina=d~~sinfi, (3)
of 7, then considering the component Z
Considering, in the first place, the case in which the load and the two resistances by which each piece is balanced meet in one point, which may be called the centre of load, there will be as many such points of intersection, or centres of load, as there are pieces in the structure; and the directions and positions of the resistances or mutual pressures exerted between the pieces will be represented by the sides of a polygon joining Pi h2 ~, ~ those points, as in fig.
In considering its properties, the load at each centre of load is to be held to include the resistances of those joints which are not comprehended in the partial polygon of resistances, to which the theorem of 7 will then apply in every respect.
The modification of motion and the modification of force take place together, and are connected by certain laws; but in the study of the theory of machines, as well as in that of pure mechanics, much advantage has been gained in point of clearness and simplicity by first considering alone the principles of the modification of motion, which are founded upon what is now known as Kinematics, and afterwards considering the principles of the combined modification 01 motion and force, which are founded both on geometry and on the laws of dynamics.
bar chain, as it is called, can be and is used as the basis of many mechanisms. Another way of considering the question of constraint is to imagine any one link of the chain fixed; then, however the chain be moved, the path of a point, as a, will always remain the same.
91 or 92) may be found,by considering each fixed in turn and then tracing out the locus of the instantaneous axis.
There is no restriction on the shape of these rolling axodes; they may have any shape consistent with i,olling (that is, no slipping is permitted), and the relative velocity of a point P is still found by considering it with regard to the instantaneous centre.
To find the form of these surfaces corresponding to a particular pair of non-adjacent links, consider each link of the pair fixed in turn, then the locus of the instantaneous axis is the axode corresponding to the fixed link, or, considering a plane of motion only, the locus of the instantaneous centre is the ceotrode corresponding to the fixed link.
Considering that the divergence of two alphabets (like the difference of two dialects) requires both time and familiar use, we may gather from these facts that writing was well known in Greece early in the 7th century B.e.2 The rise of prose composition in the 6th century B.C. has been thought to mark the time when memory was practically superseded by writing as a means of preserving literature - the earlier use of letters being confined to short documents, such as lists of names, treaties, laws, &c. This conclusion, however, is by no means necessary.
The first of these representations is evidently natural, considering the twenty eventful years that have passed; but the second, Kirchhoff holds, is the Ulysses of Calypso's 1 On this point see a paper by Professor Packard in the Trans.
Before a wave of progress has reached our shores we have had the opportunity of watching it as spectators, and of considering how we shall receive it.
established for considering the reforms necessary for the church and Roman curia.
In considering the evidence it is a delicate task to avoid confusing its meaning for its age with that which has appeared the only natural or appropriate one to subsequent interpreters (whether Jewish or Christian) who have been necessarily influenced by their environment and by contemporary thought.
It is, in fact, as notorious an example of over-successful acclimatization as the rabbit, but in Hutton and Drummond's recent work on the New Zealand animals (London, 1905) it is not regarded in this light, considering that some very common exotic birds were needed to keep down the insects, which it certainly did.
It was only natural, considering the evils produced by usury in ancient Greece and Rome, that philosophers should have tried to give an a priori explanation of these abuses.
This follows by considering equation (4) for the two pairs of colours ac and bc. Until recently no glasses were known with a proportional degree of absorption; but R.
In considering the oyster-culture in France it is necessary to distinguish the centres of production from the centres of rearing or fattening.
In considering, however, the subsequent disorders and wars, it must be borne in mind that they affected only individual portions of the empire, and only on isolated occasions involved more extensive areas in long and serious strife.
In spite of his successes he concluded peace with both kingdoms, rightly considering that it would be impossible to retain these remote frontier provinces permanently.
The rule of the great Zend chief was just and mild, and he is on the whole, considering his education and the cirCumstances under which he was placed, one of the most faultless characters to be met with in Persian history.
From considering the nature of diabetes, he had come to the conclusion that many cases were due to imperfect oxidation of sugar in the body; that this oxidation was normally carried out by a ferment in the muscles, and that probably the disease was in some cases dependent upon absence of the ferment.
I am indeed now considering the details of a bill for their confederation, which I desire to introduce next session, and I propose to press, by all means in my power, my confederation policy in South Africa.
Then came La Mer (1861), a return to the natural history class, which, considering the powers of the writer and the attraction of the subject, is perhaps a little disappointing.
And to this a religious sanction may be added, for "consciousness of a rule or guide of action, in creatures capable of considering it as given them by their Maker, not only raises immediately a sense of duty, but also a sense of security in following it, and a sense of danger in deviating from it."
There are some fine stalactites near this pit, and others in the Fairy Grotto and in Pensico Avenue; but, considering the magnitude of Mammoth Cave, its poverty of stalactitic ornamentation is remarkable.
Considering the circumstances under which he wrote, it can only be matter for congratulation that such a man should have become our informant and that his work has been preserved to us.
Originally there was only one Parlement, that of Paris, as was indeed logical, considering that the Parlement was simply a continuation of the curia regis, which, like the king, could only be one.
p. 193) gave the first correct explanation of the rise of a liquid in a tube by considering the effect of the attraction of the solid on the very thin stratum of the liquid in contact with it.
Hence if V is the volume of a mass M of liquid bounded by a surface whose area is S, the integral M = f f f pdx dydz, (I) where the integration is to be extended throughout the volume V, may be divided into two parts by considering separately the thin shell or skin extending from the outer surface to a depth within which the density and other properties of the liquid vary with the depth, and the interior portion of the liquid within which its properties are constant.
is also T12, as we see by considering the introduction (through a fine tube) of one body into the interior of the other.
If We Assume M A Tx.E.Vz.A", We Have, Considering In Turn Length, Time And Mass, Y 3Z U=O, 2X 2Y=O, X Z=I; So That Y= X, Z =1 X, U=3 2X.
Let us measure it in the case of the spherical soap-bubble by considering the stress exerted by one hemisphere of the bubble on the other, across the circumference of a great circle.
To the preliminaries of the peace concluded in February 1763 he offered an indignant resistance, considering the terms quite inadequate to the successes that had been gained by the country.
The arrangement of the book is, considering its circumstances and the date of its composition, sufficiently methodical.
In the spring of 1535 the authorities of the Lyons hospital, considering that Rabelais had twice absented himself without leave, elected Pierre de Castel in his room; but the documents which exist do not seem to infer that any blame was thought due to him, and the appointment of his successor was once definitely postponed in case he should return.
Each of them was independently governed, and furnished together 363 horse-power in actual effect, an amount which, considering that their total weight was only 600 lb, gave the extraordinary efficiency of over i horsepower for every 2 lb weight.
Considering the crops not hitherto specified, it may be indicated that turnips and swedes form the chief green crops in most districts; potatoes, mangels, beans and peas are also commonly grown.
If the board, after considering the report, consider it desirable, they require the county council concerned to prepare a scheme for the provision of small holdings; if the county council decline to prepare a scheme, the board may direct the commissioners to do so.
The resolution must have been published in newspapers circulated in the district, and must have received the consent of the Local Government Board or of a secretary of state, if the matter is one within his jurisdiction; and further, the expenses must not be incurred unless the promotion or opposition has been assented to by the owners and ratepayers of the district assembled at a meeting convened for the purpose of considering the matter, and if necessary, signified by a poll.
3), as was only natural, considering his foreign extraction.
K.) For the purpose of considering the proposed colonial law the central committee was changed into a special commission, which from the number of members constituting it became known as the Commission of XVII.
It is true that the schemes drawn up by chronologists differed widely, as was natural, considering the variety and inconsistency of their documentary data.
On the 29th he gained two victories at Unao and Busherutgunge, but considering himself too weak to advance, he fell back two marches upon Mangalwar.
In considering telegony it should perhaps be mentioned that some breeders not only believe the dam is liable to be "infected" by the sire, but also that the sire may acquire some of the characteristics of his mates.
The theory can be put to a certain test by considering its implications with respect to colour.
Considering his long life and reputation Aurispa produced little: Latin translations of the commentary of Hierocles on the golden verses of Pythagoras (1474) and of Philisci Consolatoria ad Ciceronem from Dio Cassius (not published till 1510); and, according to Gesner, a translation of the works of Archimedes.
Considering the perverted taste of the age, it is perhaps fortunate that the task fell into the hands of no showy declaimer who measured his success by his skill in making surface do duty for substance, but of homely, matter-of-fact scribes, whose sole concern was to record what they knew.
In considering the principles of well supplies it is important to bear the following facts in mind.
The proportions of cone pulleys for open or crossed belts may be determined by considering the expression for the half length (1) of a belt wrapping round pulleys of radius r 1 and r 2 respectively, and with centres distant c apart.
The resistance to slipping of a flat belt on a pulley may be obtained by considering the equilibrium of a small arc of the pulley surface subtending an angle dB at the centre, and having tensions T and T+dT at its extremities.
If this unit is A, then what we are really considering is - 4A; and this means, not that A is multiplied by - 4, but that A is multiplied by 4, and the product is taken negatively.
In Considering Addition, For Instance, We Have Introduced Two Parallel Series, Each Being The Original Numberseries, But The Two Being Placed In Different Positions.
A continued fraction, of the kind we are considering, is an expression of the form a+ b+ c + d+ &c.
The Six Articles were only fitfully put in execution, especially in 1543 and 1546: all the plots against Cranmer failed; and before he died Henry was even considering the advisability of further steps in the religious reformation, apart from mere spoliation like the confiscation of the chantry lands.
He knew well that the appeal to abstract reason and the hatred of aristocracy would spread over Europe like a flood, and, as -he was in the habit of considering whatever was most opposed to the object of his dislike to be wholly excellent, he called for a crusade of all established governments against the anarchical principles of dissolution which had broken loose in France.
He failed, however, to convince two prominent members of his cabinetLord Stanley and the duke of Buccleuchthat protection must be finally abandoned, and considering it hopeless to persevere with a disunited cabinet he resigned office.
This note was presented almost at the moment the tsar learned that the French and British fleets had entered the Black Sea, and the Russian government, instead of considering it, withdrew its ministers from London and Paris; the French i and British ambassadors were thereupon withdrawn from St Petersburg.
Considering an equation in point-co-ordinates, we may have among the component curves right lines, and if in order to put these in evidence we take the equation to be L 1 Y1..
To complete Pliicker's theory it is necessary to take account of compound singularities; it might be possible, but it is at any rate difficult, to effect this by considering the curve as in course of description by the point moving along the rotating line; and it seems easier to consider the compound singularity as arising from the variation of an actually described curve with ordinary singularities.
Mag., 1858; considering the m - 2 points in which any tangent to the curve again meets the curve, he showed how to form the equation of a curve of the order (m - 2), giving by its intersection with the tangent the points in question; making the tangent touch this curve of the order (m - 2), it will be a double tangent of the original curve.
Considering the variable curve corresponding to a given value of the parameter, or say simply the variable curve, the consecutive curve has then also 6 and nodes and cusps, consecutive to those of the variable curve; and it is easy to see that among the intersections of the two curves we have the nodes each counting twice, and the cusps each counting three times; the number of the remaining intersections is = m 2 - 263 K.
At any one of the m 2 -26 - 3K points the variable curve and the consecutive curve have tangents distinct from yet infinitesimally near to each other, and each of these two tangents is also infinitesimally near to one of the n 2 -2T-3t common tangents of the two curves; whence, attending only to the variable curve, and considering the consecutive curve as coming into actual coincidence with it, the n 2 -2T-3c common tangents are the tangents to the variable curve at the m 2 -26-3K points respectively, and the envelope is at the same time generated by the m 2 -26-3K points, and enveloped by the n2-2T-3c tangents; we have thus a dual generation of the envelope, which only differs from Pliicker's dual generation, in that in place of a single point and tangent we have the group of m2-26-3K points and n 2 -2T-3c tangents.
Considering always real curves, we obtain the notion of a branch; any portion capable of description by the continuous motion of a point is a branch; and a curve consists of one or more branches.
The nature of the two kinds of branches is best understood by considering them as projections, in the same way as we in effect consider the hyperbola and the parabola as projections of the ellipse.
We have herein a better principle of classification; considering cubic curves, in the first instance, according to singularities, the curves are non-singular, nodal (viz.
considering the curves of the order n which satisfy Zn(n+3) - 1 conditions, then the index N is the number of these curves which pass through a given arbitrary point.
But Chasles in the first of his papers (February 1864), considering the conics which satisfy four conditions, establishes the notion of the two characteristics (µ, v) of such a system of conics, viz.
Thus, considering the several cases of a cubic 1.
Such phases are probable, considering the later phases represented in the Septuagint.
The position of the Ophioglossaceae can at present only be regarded as an open question, in considering which the possible antiquity of the group must be borne in mind.
These are from the Scandinavian Skraape or Skrofa, and considering Skeat's remarks (Etym.
The extent and quality of his performance were the more remarkable considering his severe physical sufferings, his straitened means, and the antagonism to which he was exposed.
While the Assembly was considering a declaration which might calm revolt, the v i comte de Noailles and the duc d'Aiguillon moved that it should proclaim equality of taxation and the suppression of feudal burdens.
Aristotle no doubt faithfully represents the common sense of Greece in considering that, in so far as virtue is in itself good to the virtuous agent, it belongs to that species of good which we distinguish as beautiful.
- Considering its high latitude and situation, Iceland has a relatively mild climate.
It is incumbent upon the clergy to see that all children are taught reading, writing and arithmetic. The people are great readers; considering the number of the inhabitants, books and periodicals have a very extensive circulation.
The genesis and formulation of these types may be readily understood by considering the relation which exists between the alcohols and the parent hydrocarbon.
Considering the equations ax +by +cz =d, a'x +b'y +c' z =d', a"x+b"y+cnz=d" and proceeding to solve them by the so-called method of cross multiplication, we multiply the equations by factors selected in such a manner that upon adding the results the whole coefficient of y becomes = o, and the whole coefficient of z becomes = o; the factors in question are b'c" - b"c', b"c - be", bc' - b'c (values which, as at once seen, have the desired property); we thus obtain an equation which contains on the left-hand side only a multiple of x, and on the right-hand side a constant term; the coefficient of x has the value a(b'c" - b"c') +a'(b"c - bc") +a'(bc' - b'c), and this function, represented in the form a, b,c, a' b'c', a" b" c" is said to be a determinant; or, the number of elements being 32, it is called a determinant of the third order.
considering the primitive arrangement of the columns as positive, then an arrangement obtained therefrom by a single interchange (inversion, or derangement) of two columns is regarded as negative; and so in general an arrangement is positive or negative according as it is derived from the primitive arrangement by an even or an odd number of interchanges.
Join to the original equations the new equation ax+(33'+yz=8; a like process shows that, the equations being satisfied, we have a,a,'Y,S a,b,c,d a' b ' c ' d'a",, b", c", or, as this may be written, a,13,y - 8a,b,c =07 a,b,c,d a',b'c' a' b r c r d'a", b N c" a", b", c", d",, , which, considering b as standing herein for its value ax+0y+yz, is a consequence of the original equations only: we have thus an expression for ax+/3y+yz, an arbitrary linear function of the unknown quantities x, y, z; and by comparing the coefficients of a, /3, y on the two sides respectively, we have the values of x, y, z; in fact, these quantities, each multiplied by a,b,c a' b ' c',, a N b r/ c", b", are in the first instance obtained in the forms a,b,c,d a 'b' c' d'a", b N' c N' dN,, , respectively.
Considering the extent of territory in which the language is spoken, it is not surprising that it should have several dialects.
Hommel have put forward strong reasons for considering it to have been north of the latter, on a part of the site which has not yet been explored.
Considering as general or descriptive astronomy a description of the universe as we now understand it, the other branches of the subject generally recognized are as follows: Geometrical or Spherical Astronomy, by the principles of which the positions and the motions of the heavenly bodies are defined.
Considering the position of the vernal equinox, and also of a star on the celestial sphere, it will be seen that the interval between the transits of these two points across the meridian may be used to measure the right ascension of a star, since the latter amounts to FIG.
If 1 be the mean longitude of the planet whose motion we are considering, and 1' that of the attracting planet affecting it, the periodic inequalities of the elements as well as of the co-ordinates of the attracted planet, may be represented by an infinite series of terms like the following: a sin (l' - l)+b sin (2l' - l)+c sin (l'- 2l)+&c.
Considering the times, Elizabeth cannot be called a persecutor.
Angelica Kauffmann worked long in Ireland; James Barry and Sir Martin Archer Shee were of Irish birth; and on the whole, considering the small number of educated inhabitants, it must be admitted that the Ireland of Flood and Grattan was intellectually fertile.
The Government of Ireland Bill gave no protection to landowners, but as the crisis was mainly agrarian, it would have been hardly decent to make no show of considering them.
- Madagascar has a very regular and compact form, with few indentations considering its great extent of shore-line.
This must be remembered in considering nearly all his writings, and also in estimating his position, both in relation to the ruling clerical party - the Jesuits - and also to the politics of the court of Piedmont after the accession of Charles Albert in 1831.
It is extraordinary that Louis should have escaped final destruction, considering that Henry had subdued Scotland, retaken Anjou from his brother Geoffrey, won a hold over Brittany, and schemed successfully for Languedoc. But the Church once more came to the rescue of her devoted son.
When reading Moliere and Racine, Bossuet and Fnelon, the campaigns of Turenne, or Colberts ordinances; when enumerating the countless literary and ~cientific institutions of the great century; when considering the port of Brest, the Canal du Midi, Perraults cOlonnade of th~ Louvre, Mansarts Invalides and the palace of Versailles, and Vaubans fine fortificationsadmiration is kindled for the radiant splendour of Louis XIV.s period.
On the refusal of the privileged classes and after an interval of six weeks, the third estate, considering that they represented 96% of the nation, and in accordance with the proposal of Sieys, declared that they represented the nation and therefore were authorized to take resolutions unaided, the first being that in future no arrangement for taxation could take place without their consent.
is scarcely tenable considering Asa's weakness; but inroads by desert hordes frequently troubled Judah, and if the tradition be correct in locating the battle at Mareshah it is probable that the invaders were in league with the Philistine towns.
The values of d 2 E/dt 2 agree as well as can be expected, considering the difference of the ranges of temperature and the great variety in the methods of observation adopted; they are calculated assuming the parabolic formula, which is certainly in many cases inadequate.
(6) If we apply the second law, regarding the couple as a reversible engine, and considering only the reversible effects, we obtain (s' - s")/T = - d(P/T)/dT.
The agreement between the observed and calculated values in the last two columns is as good as can be expected considering the great difficulty of measuring such small quantities of heat.
The Liberals left office after having done all that was morally and materially possible, considering the extremely difficult, indeed inextricable, situation in which they found the country in October 1897.
to call dialects, considering the meaning ordinarily attached to that word, but which are none the less worthy of attention.
Negotiations were renewed in 1370 when Charles of Navarre did homage for his French possessions, though he was then considering an offensive and defensive alliance with Edward III.
It is necessary, then, to keep in mind the general situation in considering Bismarck's conduct in the months immediately preceding the war of 1870.
Eagles, Constructive Geometry of Plane Curves (1886); geometric investigations primarily based on the relation of the conic sections to a cone are given in Hugo Hamilton's De Sectionibus Conicis (1758); this method of treatment has been largely replaced by considering the curves from their definition in piano, and then passing to their derivation from the cone and cylinder.
THE Physical Theory In order to fully understand the representation in the microscope, the process must be investigated according to the wavetheory, especially in considering the representation of objects or object details having nearly the size of a wave-length.
The prejudice we are considering is closely connected with the Manichaean view of matter, which in strict consistency rejected the belief that God was really made flesh, or really died on the cross.
Before considering the results of palaeobotanical research, some account must be given of the way in which the evidence is presented, or, in other words, of the modes of preservation of vegetable remains.
' Gloioconis, found by Renault in a coprolite of Permian age, was regarded by him as a Cyanophycean allied to Gloeocapsa; this may be so, but the argument drawn from the absence of nuclei, considering the extreme rarity of recognizable nuclei even in the best preserved fossil tissues, can hardly be taken seriously.
Considering the comparative meagreness of the Devonian record, we can scarcely doubt that the vegetation of that period, if adequately known, would prove to have been practically as rich as that of the succeeding age.
We must begin by briefly considering this southern Palaeozoic province if we would trace the Mesozoic floras to their origin, and obtain a connected view of the vegetation of the globe as it existed in late Palaeozoic times and at the beginning of the succeeding era.
In March 1863 Gordon proceeded to Sungkiang to take command of the force, which had received the name of " The Ever-Victorious Army," an encouraging though somewhat exaggerated title, considering its previous history.
Considering the great age of Damascus, its comparative poverty in antiquities is remarkable.
From this separation arise all the difficulties in the effort to develop the notion systematically, and in tracing the history of Kant's philosophical progress we are able to discern the gradual perception on his part that here was to be found the ultimate cause of the perplexities which became apparent in considering the subordinate doctrines of the system.
Unfortunately for the consistency of the Kritik, Kant does not attempt to work out systematically the elements involved in knowledge before considering the subjective processes by which knowledge is realized in consciousness.
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