It was true, of course.
It wasn't true, of course.
It was a stupid question, of course.
It wasn't real, of course.
No, of course not.
There was only one answer, of course.
There were only three bedrooms, and because she had to get up the earliest, she was the lucky one to have a room of her own - with the exception of Brandon, of course.
Bordeaux was the closest thing she'd had to a friend in a long time... other than Pete, of course.
I'd call him, but of course he wouldn't be able to answer!
Yes, of course you did.
"No, of course not!" she snapped, pushing at him.
Aunt Helen came back to Ouray that weekend and of course Uncle Blackie was missing.
But I mean, of course he will.
It is your choice, of course.
To see if there's something I can do in order to prevent the inevitable, of course.
He mentioned the term kidnapping, but of course being the saint he is he wouldn't press charges against his wife who according to him was just temporarily disturbed.
Which of course Dean didn't, in the least.
It'd stay up there, of course.
Sarah, your stock dealings have outperformed the market every year since 1933, of course you're going to be investigated.
Ha, of course you are, you're always hungry.
He was teasing, of course.
To marry you, of course.
You're right, of course.
And, of course the first winter she would have a warm body to sleep with.
The earrings would go well with her white lace and satin wedding dress – and her wedding ring, of course.
He was joking, of course.
Oh, I'll probably leave them up until the weather starts to get cold - unless someone objects, of course.
It is of course quite possible that isolated cases of officers being put to death for their faith occurred during Maximinian's reign, and on some such cases the legend may have grown up during the century and a half between Maximinian and Eucherius.
He was of course a persecutor of heretics.
This last result of course is favourable to Elster and Geitel's views as to the source of the emanation.
The Latin term is consecratio, which of course has a variety of senses, including simple burial.
Da and The micrometer box, and of course with it the whole system of spider webs, is moved by the screw s, whilst the measuring web is independently moved by the screw S.
This form of micrometer is of course capable of giving results of high precision, but the drawback is that the process involves a minimum of six pointings and the entering of six screw-head readings in order to measure the two co-ordinates of the star.
A mixture of the melanistic with the albinistic type will of course give rise to parti-coloured cats.
The set of ten rods is thus equivalent to four sets of slips as described above, and by their means we may multiply every number less than II,irr, and also any number (consisting of course FIG.
In theory a two-years contingent of course should be half as large again as a three-years one, but in practice, France has not men enough for so great an increase.
No remains, and of course no living species, of these tortoises are known to exist or have existed on the mainland.
But of course the 3 In actual life the Sabbath was often far from being the burden which the Rabbinical enactments would have led us to expect.
If the wind blows into the mouth of a tube it causes an increase of pressure inside and also of course an equal increase in all closed vessels with which the mouth is in airtight communication.
ft., are round or square, and for these sizes, and shapes, and of course for a flat surface, the relation P = .003 is fairly correct.
It is of course necessary that two instruments working together should have the same speed.
This system of course requires that the exchange equipment shall include machines _ capable of delivering a positive pulsating current and a negative pulsating current, besides the usual alternations required for the ringing of ordinary subscribers.
The taking over of the main lines by the state has of course produced a considerable change in the financial situation of the railways.
There is evidence that the request was prompted by the king, and his consent was given as a matter of course.
His views on church polity were dominated by his implicit belief in the divine right of kings (not of course the divine hereditary right of kings) which the Anglicans felt it necessary to set up against the divine right of popes.
- We do not pretend that Law of Nature - the jurist's term, not of course that of inductive science - is strictly a synonym for theism.
3 Of course the Design Argument is well known in antiquity, but not the type of philosophy which stands or falls by that line of " proof."
But again of course Mill is not named.
universal to the particular is of course conceived as a descent or degradation.
These branch, and may be packed or interwoven to form a very solid structure; but each grows in length independently of the others and retains its own individuality, though its growth in those types with a definite external form is of course correlated with that of its neighbors and is subject to the laws governing the general form of the body.
In the stalk of the sporogonium there is a similar strand, which is of course not in direct connection with, but continues the conduction of water from, the strand of the gametophytic axis.
The bundle-system is of course continuous with that of the petiole and stem.
First, the knowledge of the details Modero of histology has of course advanced greatly in the Progress 01 direction.
This may be due to frost, especially in thin-barked trees, and often occurs in beeches, pears, &c.; or it may result from bruising by wind, hailstones, gun-shot wounds in coverts, &c., the latter of course very local.
In many birds some of the thoracic vertebrae are more or less coOssified, in most pigeons for instance the 15th to 17th; in most Galli the last cervical and the next three or four thoracics are coalesced, &c. The pelvic vertebrae include of course the sacrum.
- Of course to address and entreat a fellow-being is a faculty as old as that of speech, and, as soon as it occurred to man to treat sacred powers as fellow-beings, assuredly there was a beginning of prayer.
This was of course refused.
But of the vessels that visit the Russian ports in the way of trade every year only 8.3% are Russian, the rest being of course foreign.
In each of these two cases the resistance can of course be analysed into the six components set out in the above list.
The inclusive speed over a long journey is of course a different thing from the average running speed, on account of the time consumed in intermediate stops; the fewer the stops the more easily is the inclusive speed increased, - hence the advantage of the non-stop runs of 150 and zoo m.
It is of course in such a case necessary to know the specific heat of the liquid in the calorimeter.
The origin of the Cretan laws was of course attributed to Minos, but they had much in common with those of the other Dorian states, as well as with those of Lycurgus at Sparta, which were, indeed, according to one tradition, copied in great measure from those already existing in Crete.'
This of course impaired the obligation of a contract, but under the Eleventh Amendment to the Constitution of the United States the bondholders could not bring suit against the state in the Federal courts.
Bishops alone, including of course the pope and his cardinals, are entitled to wear the pretiosa and auriphrygiata; the others wear the mitra simplex.
In either case it is of course open to anyone to maintain that the apparent completeness of synthesis really rests on the subtle intrusion of elements of feeling into the rational process.
The object of these movements will be appreciated when it is remembered that, if the pollen-masses retained the original direction they had in the anther in which they were formed, they would, when transported by the insect to another flower, merely come in contact with the anther of that flower, where of course they would be of no use; but, owing to the divergences and flexions above alluded to, the pollen-masses come to be so placed that, when transplanted to another flower of the same species, they come in contact with the stigma and so effect the fertilization of that flower.
David accompanied the army, as a matter of course.
They of course regard the cow as equally sacred.
Towards the end of October, with which month the rainy season begins, seedtime commenced, and of course does so still.
Cereal pests can only be treated by general cleanliness and good farming, and of course they are largely kept down by the rotation of crops.
For piercing-mouthed pests like Aphides no wash is of use unless it contains a basis of soft soap. This softsoap wash kills by contact, and may be prepared in the following way: - Dissolve 6 to 8 lb of the best soft soap in boiling soft water and while still hot (but of course taken off the fire) add 1 gallon of questions involved, under their own headings.
These conditions are of course not independent of each other, and they have brought in their train many consequences, some good and some bad.
If we admit that the larva has, in the phylogeny of insects, gradually diverged from the imago, and if we recollect that in the ontogeny the larva has always to become the imago (and of course still does so) notwithstanding the increased difficulty of the transformation, we cannot but recognize that a period of helplessness in which the transformation may take place is to be expected.
In later ages the representations of birds of one sort or another in Egyptian paintings and sculptures become countless, and the bassi-rilievi of Assyrian monuments, though mostly belonging of course to a subsequent period, are not without them.
Its chief drawback is that it does not give any more reference to the authority for a generic term than the name of its inventor and the year of its application, though of course more precise information would have at least doubled the size of the book.
Again, the arrangement followed in the Pterylographie was of course based on pterylographical considerations, and we have its author's own word for it that he was persuaded that the limitation of natural groups could only be attained by the most assiduous research into the species of which they are composed from every point of view.
Nitzsch had of course exhausted all the forms of birds commonly to be obtained, and specimens of the less common forms were too valuable from the curator's or collector's point of view to be subjected to a treatment that might end in their destruction.
He of course knew the investigations of L'Herminier and De Blainville on sternal formation, and he also seems to have been aware of some pterylological differences exhibited by birds - whether those of Nitzsch or those of Jacquemin is not stated.
3 Here there is no need to enter into details of the history of evolution; but there was possibly no branch of zoology in which so many of the best informed and consequently the most advanced of its workers sooner accepted the principles of evolution than ornithology, and of course the effect upon its study was very marked.
Mounds of bones marked his road, witnesses of devastations which other historians record in detail; Christian prisoners, from Germany, he found in the heart of "Tartary" (at Talas); the ceremony of passing between two fires he was compelled to observe, as a bringer of gifts to a dead khan, gifts which were of course treated by the Mongols as evidence of submission.
But of course it was far less important than various other articles of trade in the aggregate values of commerce.
The technical terms of municipal government are mostly Greek, transliterated into Palmyrene; a few Latin words occur, of course in Aramaic forms. For further characteristics of the dialect see Nuldeke, ZDMG.
The price of options of course varies: that of double options is always highest, but they are little used.
But really this stream is surpassed both in volume and length of course by two others which it joins beneath Briancon: - the Clairee, flowing in from the north, through the smiling Nevache glen, at the head of which, not far from the foot of the Mont Thabor (10,440 ft.), it rises in some small lakes, on the east side of the Col des Rochilles; and the Guisane (flowing in from the northwest and rising near the Col du Lautaret, 6808 ft.).
He was helped of course by his sound education; but the true cause of his success lay in his strong sense, untiring industry, courage, clear-sightedness and great intellectual force.
Underlying all of these issues was of course the great moral and political problem as to whether slavery was to be confined to the south-eastern section of the country or be permitted to spread to the Pacific. The two questions not growing out of the Mexican War were in regard to the abolition of the slave trade in the District of Columbia, and the passage of a new fugitive slave law.
All these stones were of course imported, as the Babylonian had no stone (except a rough coral rag) at hand as the Egyptian had.
The occurrence was of course attributed to poison, although quite without foundation, being merely due to malaria, at that time very prevalent in Rome.
When the body was exhibited to the people the next day it was in a shocking state of decomposition, which of course strengthened the suspicion of poison.
These orthodromic distances are of course shorter than those measured along a loxodromic line, which intersects all parallels at the same angle.
These direct distances may of course differ widely with the distance which it is necessary to travel between two places along a road, down a winding river or a sinuous coast-line.
The compass may of course have been used for improving these charts, but they originated without its aid, and it is therefore misleading to describe them as Compass or Loxodromic charts, and they are now known as Portolano charts.
There were other sources from which slavery was alimented, though of course in a much less degree.
This of course presupposes the recognition of the right of the slave to his peculium; and the same is implied in Cicero's statement that a diligent slave could in six years purchase his freedom.
With some, of course - such as the god of fire - the connexion with the good deity was a priori indissoluble.
The States of the Church were of course submerged for a time by the groundswell of the French Revolution, but they appeared again in 1814.
Under the reformed constitution every senator is entitled to a salary of £Tloo per month, any remuneration which he may receive from the government for other services to be deducted from the senatorial allowance which, however, it may of course exceed.
By nightfall upwards of 100,000 men, encumbered with at least 20,000 wounded, were crowded together on the little island scarcely a mile square, short of provisions and entirely destitute of course of all hospital accessories.
A man less tyrannical or less mean-spirited than Napoleon would of course have let her alone, but Napoleon was Napoleon, and she perfectly well knew him.
It is of course possible that the ark was originally the sacred shrine of the clans which came direct to Judah, and that the traditions in 1 Sam.
When the proper degree 0 is < w a factor ao -e must be of course understood.
Therefore every form of degree 2, except of course that one whose weight is zero, is a perpetuant.
then of course (AB) = (ab) the fundamental fact which appertains to the theory of the general linear substitution; now here we have additional and equally fundamental facts; for since A i = Xa i +,ia2, A2= - ï¿½ay + X a2, AA =A?-}-A2= (X2 +M 2)(a i+ a z) =aa; A B =AjBi+A2B2= (X2 +, U2)(albi+a2b2) =ab; (XA) = X i A2 - X2 Ai = (Ax i + /-Lx2) (- /-jai + Xa2) - (- / J.x i '+' Axe) (X a i +%Ga^2) = (X2 +, u 2) (x a - = showing that, in the present theory, a a, a b, and (xa) possess the invariant property.
The direction of the induction is also of course indicated by the direction of the lines, which thus serve to map out space in a convenient manner.
The actual magnetizing force H is of course less than that due to the coil; the corrections required are effected automatically by the use of a set of demagnetization lines drawn on a sheet of celluloid which is supplied with the instrument.
Hall Efect.-If an electric current is passed along a strip of thin metal, and the two points at opposite ends of an equipotential line are connected with a galvanometer, its needle will of course not be deflected.
If, however, the molecules could turn with perfect freedom, it is clear that the smallest magnetizing force would be sufficient to develop the highest possible degree of magnetization, which is of course not the case.
19, that the seasons shall henceforth be fruitful, is given after Yahweh has shown his zeal and pity for Israel, not of course by mere words, but by acts, as appears in verses 20, 21, where the verbs are properly perfects recording that Yahweh hath already done great things, and that vegetation has already revived.
The law of course was clear that the "punctilio which swordsmen falsely do call honour" was no excuse for wilful murder.
82.8) validly, though of course not lawfully.
In this list are included of course all shades of opinion, from extreme Nominalism to extreme Realism.
If r is greater than m or n (though of course not greater than m+n), some of the terms in (22) and (23) will be zero.
This series is of course discontinuous.
Press censorship was of course very rigid throughout the Dual Monarchy, but many Yugoslav newspapers were suppressed altogether.
When the primary wave is plane, the area of the first Fresnel zone is 7rXr, and, since the secondary waves vary as r 1, the intensity is independent of r, as of course it should be.
In the case of the circular aperture the distribution of light is of course symmetrical with respect to the focal point p=o, q=o; and C is a function of p and q only through 11 (p 2 -}-q 2).
The efficiency of a telescope is of course intimately connected with the size of the disk by which it represents a mathematical point.
A rotation of this amount should therefore be easily visible, but the limits of resolving power are being approached; and the conclusion is independent of the focal length of the mirror, and of the employment of a telescope, provided of course that the reflected image is seen in focus, and that the full width of the mirror is utilized.
It is here of course assumed that the n lines are really utilized.
In the former case the function of the telescope is simply to increase the dispersion, and the formation of the bands is of course independent of the particular manner in which the dispersion arises.
There appears to be no further advantage in the use of a telescope than the increased facility of accommodation, and for this of course a very low power suffices.
18) the centre of the curve 0 is to be considered to correspond to that point C of the primary wave-front which lies nearest to P. The operative part, or parts, of the curve are of course those which represent the unobstructed portions of the primary wave.
In like manner our present law (20) would apply to the kind of obstruction that would be caused by an actual physical division of the elastic medium, extending over the whole of the area supposed to be occupied by the intercepting screen, but of course not extending to the parts supposed to be perforated.
A bearing, and of course an essential bearing on the study of medicine, it must always have.
Where the malnutrition is the effect of poorness in the quality of the blood, the results are of course more widespread.
It is of course possible that Map's rise at court may have been due to his having hit the literary taste of the monarch, who, we know, was interested in the Arthurian tradition, but it must be admitted that direct evidence on the subject is practically nil, and that in the present condition of our knowledge we can only advance possible hypotheses.
The actual science of the Hippocratic school was of course very limited.
It was of course antecedent to the discovery of auscultation.
It is convenient here to add that such reactions and modifications, if more conspicuous in the nervous system, are of course not confined to it, but are concerned in their degree in all the processes of metabolism, being most readily traced by us in the blood.
In this great mass Voltaire's personality is of course best shown, and perhaps his literary qualities not worst.
Various authors of the ante-Nicene period have expressed themselves as distinctly unfavourable to its religious, though not of course to its domestic, use.
Following on his calculations from 1509, when the population may be supposed to have been about 50,000, Dr Creighton carries on his numbers to the Restoration The same causes that operated to bring about these changes in the whole kingdom were of course also at work in the case of the City of London.
The geometrical works (except of course the Metrica) were edited (Greek only) by F.
Allowance must of course be made for his point of view, but less so perhaps than in the case of any other writer so intimately concerned.
This term of course includes as special cases the qualities of "malleability" (capability of being flattened out under the hammer) and "ductility" (capability of being drawn into wire); but these two special qualities do not always go parallel to each other, for this reason amongst others - that ductility in a higher degree than malleability is determined by the tenacity of a metal.
Yet tons of caustic soda are fused daily in chemical works in iron pots without thereby suffering contamination, which seems to show that (clean) iron, like gold and silver, is attacked only by the joint action of fused alkali and air, the influence of the latter being of course minimized in large-scale operations.
That of course does not exclude the possibility of the bulk of the poem having been composed at an earlier period; it only ascribes its completion or perhaps final revision to Nasir's sojourn in Egypt.
The development of other species of Vitis, such as the curious succulent species of the Soudan and other parts of equatorial Africa, or the numerous kinds in India and Cochin China, is of course possible under suitable conditions; but it is obvious that an extremely long period must elapse before they can successfully compete with the product of many centuries.
It is of course presupposed that the juice has been properly defecated, because without this no amount of skill and knowledge in cooking in the pan will avail; the sugar resulting must be bad, either in colour or grain, or both, and certainly in polarizing power.
It followed of course that the heir had no right in the land which his father held in this way, nor was the heir of the donor bound by his father's act.
To assign any specific date to the end of this formative age is of course impossible, but meaning by the end what has just been stated, we shall not be far wrong if we place it somewhere near the beginning of the 10th century.
Bar-Nebo, lacks intrinsic fitness for a Jew and a Levite, and of course does not accord with the statement in Acts itself.
In ordinary electrolytic work only the continuous current may of course be used, but in electrothermal work an alternating current is equally available.
So far as the results of criticism are still uncertain with regard to the age and authorship of any of these, Ewald's conclusions must of course be regarded as unsatisfactory.
It consequently rests upon a distinct basis of fact, the saga (in the older and wider sense of any story said or sung) being indeed the oldest form of historical tradition; though this of course does not exclude the probability of the accretion of mythical elements round persons and episodes from the very first.
logical Of course the first step was to approach the phenomena of human character and social existence with the expectation of finding them as reducible to general laws as the other phenomena of the universe, and with the hope of exploring these laws by the same instruments of observation and verification as had done such triumphant work in the case of the latter.
On the 8th of April Sir Robert Peel resigned, and the undersecretary for the colonies of course followed his chief into private life.
And of these the greatest was of course the Person that had created the Christian religion.
This of course does not apply to shrubs which blossom at their seasons and fall always into the general scheme of the landscape.
If experience develops incompatibility of temper or some other mutually repellent characteristic, separation follows as a matter of course.
In proportion as the original chloride is thus reproduced, the efficiency of the process is of course diminished.
limit on the permanently frozen underground, where hibernation is of course impossible.
In the earlier stage - whose notions of course still persist alongside of the state religion - each household has its own relations to its numina: now the state approaches the gods through its duly appointed representatives, the magistrates and priests.
Whoever can believe that the successes were numerous and that descriptions were given correctly - not only of facts present to the minds of inquirers, and of other persons present who were not consciously taking a share in the experiments, but also of facts necessarily unknown to all concerned - must of course be most impressed by the latter kind of success.
No woman makes any but the briefest appearance in his pages, though in reference to this it must of course be remembered that he was certainly a man past middle life when the events occurred, and perhaps a man approaching old age when he set them down.
The deltaic portions are of course a dead level; and the highest hills within the district in the western or frontier tract do not exceed 2500 ft.
The consequences were of course momentous.
The definiteness and persistence of this creed, which of course is the strength also of Mahommedanism, presents a contrast to the fluid character of the statements in the Vedas, and to the chaos of conflicting opinions of philosophers among the Greeks and Romans.
Pilgrims visiting Paphos, the original home and temple of Astarte, could of course be in no doubt about which of the heavenly powers inhabited the cone of stone in which she was there held to be immanent; nor was any Semite ever ignorant as to which Baal he stood before.
Thus in the period 1520-1550 we have separate chapters on ancient literature, theology, speculative philosophy and jurisprudence, the literature of taste, and scientific and miscellaneous literature; and the subdivisions of subjects is carried further of course in the later periods.
The history of institutions like universities and academies, and that of great popular movements like the Reformation, are of course 1 Technical subjects like painting or English law have been excluded by Hallam, and history and theology only partially treated.
The capture of these defences, which would afford observation over the greater part of the main Hindenburg line proper, was of course an essential preliminary to any operation against the latter.
The continental shelves are parts of the great continental blocks which have been covered by the sea in comparatively recent times, and their surface consequently presents many similarities to that of the land, modified of course by the destructive and constructive work of the waters.
The blue of the sea-water as observed by the Forel scale has of course nothing to do with the blue appearance of any distant water surface due to the reflection of a cloudless sky.
This is of course preferable, but is only applicable where the owner of the mine can afford to expend the capital required to reach the limit of the field in excess of that necessary when the raising of coal proceeds pari passu with the extension of the main roads.
Most of the settlers came from the southern section of the Union and of course brought their slaves with them, but there is no evidence to show that their object was the territorial extension of slavery, or that the revolt against Mexico was the result of dissatisfaction with that country's anti-slavery policy.
are very large, then, for all states except an infinitesimal fraction of the whole number, the values of u, v, w lie within ranges such that (i) the values of u (and similarly of v, w) are distributed among the s molecules of the first kind according to the law of trial and error; and similarly of course for the molecules of other kinds: (ii) E2mu2 E2mv 2 E2mw2 ?2aie12 s S s s s s - s E s' S' s' - - s' ' See Jeans, Dynamical Theory of Gases (1904), ch.
per second would of course be visible if continued for a sufficient length of time.
Robertson's play David Garrick, first acted by Sothern, and later associated with Sir Charles Wyndham, is of course mere fiction.
The existence of this theocratic international state was of course conditioned by the weakness of the civil government.
Both classifications are of universals, concepts or general terms, proper names of course being excluded.
From that time until 1821 the Greeks monopolized the management of Turkey's foreign relations, and soon established the regular system whereby the chief dragoman passed on as a matter of course to the dignity of hospodar of one of the Danubian principalities.
Allowance must of course be made for the thickness of the wood.
If the blank is too heavy the fillet may of course be passed through the rolls again.
The albatross is of course the most conspicuous sea bird.
It is of course easy to see that Celsus had no apprehension of the spiritual needs even of his own day which it was the Christian purpose to satisfy, that he could not grasp anything of the new life enjoyed by the poor in spirit, and that he underrated the significance of the Church, regarding it simply as one of a number of warring sections (mostly Gnostic), and so seeing only a mark of weakness.
As we obtained the result on the supposition of unchanged form, we can of course only apply it for such short lengths and such short times that the part dealt with does not appreciably alter.
Ordinarily when a bell is struck the impulse primarily excites the radial motion, and the tangential motion follows as a matter of course.
Mag., 1878, 2, p. 500, or Rayleigh, Sound, § 386) that sounds of considerable intensity when heard by themselves are liable to be completely obliterated by graver sounds of sufficient force goes far to explain this, for the summation tones are of course always accompanied by such graver sounds.
Kuroki displayed the greatest skill, but he was of course pressed back by the four-to-one superiority of the Russians.
In purely German territories moreover it was claimed that only German officials should be appointed, just as in purely Czech territories the appointment of Czech officials was already uncontroverted and looked upon as a matter of course.
That building is of course of much later date, but it seems certain that when (c. 513-516) Sigismund, son of King Gundibald, built a stone church on the site, it took the place of an earlier wooden church, constructed on Roman foundations, all three layers being clearly visible at the present day.
That they had a large measure of authority of course goes without saying, but it depended always upon their brethren's recognition of their possession of the divine gift of apostleship, and the right of Churches or individuals to test their claims and to refuse to listen to them if they did not vindicate their divine call was everywhere recognized.
That at least the greater offices were hereditary - as in the case of the sons of Zadok, who succeeded to the royal priesthood in Jerusalem after the fall of Abiathar - was almost a matter of course as society was then constituted, but there is not the slightest trace of an hereditary hierarchy officiating by divine right, such as existed after the exile.
Previous to 1918 the territories now composing the Czechoslovak Republic were of course subject to the Austrian or Hungarian code of laws respectively.
It is of course always possible that in any particular case we may be deceived; we may be assuming as self-evidently true what is in reality not so.
The most mischievous of the ancient abuses, the elective monarchy and the liberum veto, were of course retained.
In fact most styles of composition were attempted by him - of course satires and fables among the number.
After this failure Tresckow once more resorted to the regular method of siege approaches, and on the 2nd of February the second parallel was thrown up. La Justice was now bombarded by two new batteries near Perouse, the Perches were of course subjected to an "artillery attack," and henceforward the besiegers fired 1500 shells a day into the works of the French.
These figures are from the U.S. census, and are of course for Cincinnati proper: some of the largest industrial establishments, however, are just outside the city limits - among these are manufactories of soap (the Ivory Soap Works), machine tools, electrical machinery and appliances, structural and architectural iron work, and office furnishings.
On Jefferson's election, Burr of course became vice-president.
The greatest of all Plenary Indulgences is of course the Roman 1 Equally strong assertions were made by the provincial council of Mainz in 1261; and Lea (p. 287) quotes the complaints of 36 similar church councils before 1538.
His style is somewhat heavy, but sensible and clear; it is free, not of course from usages of Late Latin, but from anything that can be called barbarism.
His etymologies are of course sometimes very wild: e.g.
Xenogamy is of course the only possible method in diclinous plants; it is also the usual method in monoclinous plants, owing to the fact that stamens and carpels often mature at different times (dichogamy), the plants being proterandrous or proterogynous.
The method gives all the partitions of a number, but we may consider different classes of partitions: the partitions into a given number of parts, or into not more than a given number of parts; or the partitions into given parts, either with repetitions or without repetitions, &c. It is possible, for any particular class of partitions, to obtain methods more or less easy for the formation of the partitions either of a given number or of the successive numbers 1, 2, 3, &c. And of course in any case, having obtained the partitions, we can count them and so obtain the number of partitions.
The same number is given as that of the Southern losses, which of course fell upon a much smaller population.
The turning from idols was of course peculiar to the Gentile communities, but the waiting for the Messiah from heaven was common to all Christians, whatever their origin.
The reference is of course primarily to the spoken word, but the written word had the same qualities as the spoken.
Philemon is of course a pure letter, and Philippians mainly so; the Pastorals, as their name implies, contain advice and instructions to the apostle's lieutenants, Timothy and Titus, in the temporary charge committed to them of churches that the apostle could not visit himself.
It of course did not follow that, because the letters of St Paul were collected, they were therefore regarded as sacred.
Ramsay (Was Christ Born at Bethlehem?, 1898, pp. 1 49 ff.) defends the exact accuracy of St Luke's " first census " as witnessing to the (otherwise of course unknown) introduction into Syria of the periodic fourteen years' census which the evidence of papyri has lately established for Egypt, at least from A.D.
Such conclusions are, however, of course general in the extreme.
the Pacific has few islands; the oceanic islands are volcanic, and coral formations are of course scanty.
In the ensuing account a constant repetition of the names of the main archipelagoes will be found; it may of course be assumed that each successive voyager added something to the knowledge of them, but on the other hand, as has been said, islands were often rediscovered and renamed in cases where later voyagers took no account of the work of their predecessors, or where the earlier voyagers were unable clearly to define the positions of their discoveries.
This of course is only the broadest possible statement of a position which undergoes many modifications in the hands of individual seers, but on the whole governs all prophecy from Amos to Jeremiah.
This connexion of ideas was not of course explicitly before the prophet's mind, for the distinctive features of a national religion could not be formulated so long as no other kind of religion had ever been heard of.
It contains of course many errors, which were gradually discovered and corrected in the course of the next two hundred and fifty years.
The logarithm is then obtained by use of the formula d l d2 l d3 2 log e (x+d) = log e x-f- - x2+3 x3 - &c., in which of course the object is to render dlx as small as possible.
There were of course some crude industries in existence before the arrival of the 'Spaniards, such as weaving and dyeing of fabrics made from various fibres, and making earthenware utensils, images, &c. The Spaniards introduced their own industries, including sugar-making, weaving, tanning, and leatherand metal-working, some of which still exist.
Apart from these polar nomads, the American indigenes group roughly into a single division of mankind, of course with local variations.
Animal cults may be classified in two ways: (A) according to their outward form; (B) according to their inward meaning, which may of course undergo transformations.
The Trypanosomes, in the active phase, are of course always free in the blood plasma (interglobular).
Such a theory, like its modern rival of the sun-myth, may of course be pushed till it becomes absurd; yet in India critical observers, like Sir Alfred C. Lyall, attest innumerable examples of the gradual elevation into gods of human beings, the process even beginning in their lifetime.
In jumping an ordinary hedge or ditch at moderate speed, there is of course a moment of time during which the horse is on his hind legs, and in theory the rider should then lean forward, but, in practice, this position is so momentary, and the lash out of the hind legs in the spring is so powerful, that it is best not to lean forward at all, because of the difficulty, if not impossibility, of getting back in time for the reverse movement, when the rider should be preparing to render the horse some assistance with the bridle as his feet touch the ground.
More than once, however, Manichaeism experienced attempts at reformation; for of course the auditores very easily became worldly in character, and movements of reformation led temporarily to divisions and the formation of sects.
The rank relative to area or population is of course different.
The remainder, or element of foreign exports, has been of similarly small relative magnitude since about 1880, but was of course much larger while the carrying trade was of importance.
The American Speaker, who of course has a vote like other members, always belongs to the party which commands a majority, and is, indeed, virtually the leader of the majority party in the House of Representatives.
The composition of these lists is of course a serious matter, because the primary is the foundation of the whole party edifice.
In times of war they have of course fallen to a minimum.
It is of course not the case that all the poems of al-Mufaddal's collection are complete.
Near Haco's Ness in Shapinsay there is a small exposure of amygdaloidal diabase which is of course older than that in Hoy.
The hours of the day and night were of course only equal at the time of the equinoxes.
When the remainder is o, the proposed year is of course the last or 19th of the cycle.
In Those Years In Which The Line Of Epacts Is Changed In The Gregorian Calendar, The Golden Numbers Are Removed To Different Days, And Of Course A New Table Is Required Whenever The Solar Or Lunar Equation Occurs.
Towards the end of the 3rd and during the 4th century, as a result of the orientalizing of the Imperial court by Diocletian, it became customary to celebrate as a matter of course the superhuman virtues and achievements of the reigning emperor.
The effect of weights placed in such a dish or pan is of course the same as if they were placed within the bulb of the instrument, since they do not alter the volume of that part which is immersed.
Responsible of course to the elector, the Statthalter, aided by the privy council, conducted the internal affairs of the electorate, generally in a peaceful and satisfactory fashion, until the welter of the Napoleonic wars.
The productions from these several combings are known as " drafts " and are of different lengths: the product of the filled silk first placed in the dressing frame being the longest fibre and of course the most valuable.
Learning Greek was not the matter of course which it has since become.
The young onions are of course pulled while quite small.
Residence in New Zealand, p. 313) had spoken of an "emeu" found in that island, which must of course have been an Apteryx.
In 517 the council of Epaone in Burgundy forbade any but stone pillars to be consecrated with chrism; but of course the decrees of this provincial council would not necessarily be received throughout the church.
Such bodies of course had always existed (see below) and exercised at all times a powerful influence upon the kings, frequently even forcing them into war against their own wishes.
Besides these fixed festivals sacrifices could of course be offered in all time of public or private need.
1 Here of course the author speaks of the papal supremacy and not of papal infallibility in matters of faith and morals - a doctrine which was formally declared a dogma of the Church only at the Vatican council in 1870.
Whether another head of the Church could have prevented the defection of England is of course an idle question.
Galileo measured time for the purpose of his experiments by the flow of water through a small hole under approximately constant conditions, which was of course a very old method.
On the whole the natural lie of the country has been reflected in the political divisions, which have of course varied in detail.
m., but the average is of course very greatly exceeded in the industrial districts such as Beuthen.
Poenus is of course merely an adaptation of the Greek form.3 Language.
All three sons married, and two of them had only normal children, judged of course by somatic characters.
In the civil law the judex ordinarius is a judge who has regular jurisdiction as of course and of common right as opposed to persons extraordinarily appointed.
Vibeke's children were of course the natural enemies of the children of Christina Munk, and the hatred of the two families was not without influence on the future history of Denmark.
Frequently the groups are composed solely of protected species, so far as is at present known; and sometimes solely, in all probability, of unprotected species with exception of course of the model.
Collema limosum, Peltidea venosa); while many may be found growing on all kinds of soil, from the sands of the sea-shore to the granitic detritus of lofty mountains, with the exception of course of cultivated ground, there being no agrarian lichens.
The question, however, is not whether Thales could predict the eclipse of the sun with any chance of success - much less whether he could state beforehand at what places the eclipse would be visible, as some have erroneously supposed, and which of course would have been quite impossible for him to do, but simply whether he 1 Bretschneider (Die Geom.
Naturalists will of course prefer other limits according as they are geologists, botanists or zoologists.
Thus the Simplon is first certainly mentioned in 1235, the St Gotthard (without name) in 1236, the Lukmanier in 965, the San Bernardino in 941; of course they may have been known before, but authentic history is silent as regards them till the dates specified.
As regards preparation, draining is of course of the utmost importance.
The size of course can be increased to any requisite extent.
The manures of this class are of course of value only in cases where the soil is naturally deficient in them.
For tropical plants the heat of a propagating house-75° to 80°, with a bottom heat of 80° to 90° - is desirable, and in many cases absolutely necessary; for others, such as half-hardy annuals, a mild hot bed, or a temperate pit ranging from 60° to 70°, is convenient; while of course all outdoor crops have to submit to the natural temperature of the season.
The cut portions of bulky sets should be suffered to lie a short time before being planted, in order to dry the surface and prevent rotting; this should not, however, be done with such tropical subjects as caladiums, the tubers of which are often cut up into very small fragments for propagation, and of course require to be manipulated in a properly heated propagating pit.
The more expeditious method is of course to lay down turf, which should be free from weeds, and is cut usually in strips of i ft.
In the selection and distribution of fruit trees regard must of course be had to local situation and climate.
In the lower reaches of the streams the velocity and slope are of course affected by the tides.
The west winds of course increase the moisture, and moderate both the winter cold and the summer heat, while the east winds blowing over the ' See J.
As a matter of course the smaller streams have been largely utilized in their formation, while the necessity for a comprehensive drainage system has also contributed in no small degree.
All these forms have of course their aecidium-stage on the barberry.
If the alloy has a composition very near that of its own eutectic, then when solidified it of course contains a large proportion of the eutectic, and only a small proportion of the excess metal.
This change from austenite to ferrite and cementite, from the y through the # to the a state, is of course accompanied by the loss of the " hardening power," i.e.
These of course are the oldest of our ores, and from deposits of like age, especially those of the more readily decomposed silicates, has come the iron which now exists in the siderites and red and brown haematites of the later geological formations.
Thus the furnace may be said to have four zones, those of (1) deoxidation, (2) heating, (3) melting, and (4) collecting, though of course the heating is really going on in all four of them.
the poorer it is in iron, the more limestone must in general be added, and hence the more slag results, though of course an ore the gangue of which initially contains much lime and little silica needs a much smaller addition of limestone than one of which the gangue is chiefly silica.
In the hearth of the blast furnace the heat made latent by the fusion of the iron and slag must of course be supplied by some body which is itself at a temperature above the melting point of these bodies, which for simplicity of exposition we may call the critical temperature of the blast-furnace process, because heat will flow only from a hotter to a cooler object.
- The combined fluxing and abrading action of the descending charge tends to wear away the lining of the furnace where it is hottest, which of course is near its lower end, thus changing its shape materially, lessening its efficiency, and in particular increasing its consumption of fuel.
But, roll and re-roll as often as we like, much cinder remains imbedded in the iron, in the form of threads and rods drawn out in the direction of rolling, and of course weakening the metal in the transverse direction.
As they are so hot at starting, their combustion of course yields a very much higher temperature than if they had been cold before burning, and they form an enormous flame, which fills the great working chamber.
Next let us imagine that, in a series of cast irons all containing 4% of carbon, the graphite of the initial skeleton changes gradually into cementite and thereby becomes part of the matrix, a change which of course has two aspects, first, a gradual thinning of the graphite skeleton and a decrease of its continuity, and second, a gradual introduction of cementite into the originally pure ferrite matrix.
As the ingot is reduced in section, it is of course lengthened proportionally.
This great increase in the per capita consumption of iron by the human race is of course but part of the general advance in wealth and civilization.
If too, as seems most probable, bishops and presbyters were practically identical, there is of course a specific reference to them in Phil.
In the middle section the salinity of the surface layers increases to o or 5%, though it is of course greater along the shores.
Not far off, and to the north of the great theatre, stood a small temple, which, as we learn from the inscription still remaining, was dedicated to Isis, and was rebuilt by a certain Popidius Celsinus at the age of six (really of course by his parents), after the original edifice had been reduced to ruin by the great earthquake of 63.
These are of course quite immature, the longest rarely being one inch in length.
When successful, the journey, although about seven times the mileage of the old direct caravan route, took four months instead of eighteen, and was of course much less expensive.
Some crops of course require water much oftener than others, and much depends on the temperature at the time of irrigation.
As the river daily fell, of course the water in the canals fell too, and since they were never dug deep enough to draw water from the very bottom of the river, they occasionally ran dry altogether in the month of June, when the river was at its lowest, and when, being the month of greatest heat, water was more than ever necessary for the cotton crop. Thus large tracts which had been sown, irrigated, weeded and nurtured for perhaps three months perished in the fourth, while all the time the precious Nile water was flowing useless to the sea.
This cost a loss of land revenue of about £300,000, while the loss of the whole season's crop to the farmer was of course much greater.
His two folios, it was said, would of course be bought by everybody who could afford to buy them.
But of course it is equally clear that such a book cannot be a genuine work of Moses of Khor`ni; for that division of the empire dates from the early part of the reign of King Chosroes I.
the sick benefit societies, f The system of compulsory registration, which involves a notification to the police of any change of address (even temporary), of course makes it easy to determine the domicile in any aiven case.
The real military resources of Germany, untrained and trained, are thus about 7,000,000, of whom 4,000,000 have at one time or another done a continuous period of service with the colors.i This is of course for a war of defence a outrance.
The Rhine lands were of course the centre of Roman civilization, with Roman roads, fortresses, stone and tiled houses and marble temples.
This of course meant that Prussia should be at the hea of Germany.
This was supported by all the Liberal party and carried repeatedly; of course it was rejected by the Bundesrat, for it would have established the principle that the constitution of each state could be revised by the imperial authorities, which would have completely destroyed their independence.
religion and direct taxation, and though of course it political is only concerned with Prussian affairs, Prussia is so pariles.
This superseded the complicated system of laws and royal ordinances which had accumulated in Prussia during the fifty years that had elapsed since the system of short service had been introduced; the application to other states of course made a clearer statement of the laws desirable.
(This law, which still exists, is popularly known as the Kanzlei or Pulpit-paragraph.) It was of course opposed by the Centre, who declared that the Reichstag had no right to interfere in what was after all a religious question, and the Bavarian Opposition expressed much indignation that their government should turn for help to the Protestants of the North in order to force upon -the Catholics of Bavaria a law which they could not have carried in that state.
Its introduction into Germany was of course forbidden, but it was soon found possible regularly to distribute thousands of copies every week in every part of the country, and it continued to exist till 1887 at Zurich, and till 1890 in London.
The effect upon the railway problem is of course very great, inasmuch as, while the supply of trucks required per day in 1906 was from moo to 1200, about 80% of these had to be sent down empty to the harbour.
The governments on both sides could of course give no countenance to this theory; Bismarck especially was very careful never to let it be supposed that he desired to exercise influence over the internal affairs of his ally.
This was of course strengthened by union with a power which had already a Greek side, and where the Greek side soon became dominant.
And, if any element, Latin or akin to Latin, had lingered on through Byzantine and Saracen rule, it would of course be attracted to the new Latin element, and would help to strengthen it.
Occasional notices we of course have in the Byzantine writers, and Archbishop Eustathius's account of the taking of Thessalonica is more than occasional.
All these are of course ascribed to the personal action of the monarch.
During the New Empire, except at the beginning, the nomes seem to have been almost entirely ignored: under the Deltaic dynasties (except of course in the traditions of the sacred writing) they were named after the metropolis, as the province (tosh) of Busiris, the province of Sais, &c.: hence the Greek names Bownptr,ls vojs~, &c. The Arsinoite nome was added by the Ptolemies after the draining of the Lake of Moeris (qv.), and in the later Ptolemaic and the Roman times many changes and additions to the list must have been made.
That great nim ural feature of Egypt, the Nile, was of course one of the gods; mer name was Hapi, and as a sign of his fecundity he had long and dulous breasts like a woman.
The temples of the earliest times were of course far more primitive than this: from the pictures that are all that is now left to indicate their nature, they seem to have been little more than huts or sheds in which the image of the god was kept.
It was of course only the few who could afford elaborate tombs of the kind: the poor had to make shift with an unpretentious grave, in which the corpse was placed enveloped only by a few rags or enclosed in a rough wooden coffin.
When magicians made figures of wax representing men whom they desired to injure, this was of course an illegal act like any Dther, and the law stepped in to prevent it: one papyrus that has been preserved records the judicial proceedings taken in 1uch a case in connection with the harem conspiracy against Rameses III.
A few cuneiform transcriptions, reaching as far back as the XVIIIth Dynasty, give valuable hints as to how Egyptian was pronounced in the 15th century B.C. Coptic itself is of course quite inadequate to enable us to restore Old Egyptian.
Later, however, a disastrous expedition sent to aid the Libyans against the Greek colony of Cyrene roused the suspicion and anger of the native soldiery at favors shown to the mercenaries, who of course had taken no part in it.
Almost immediately after the conquest of Egypt, Jauhar found himself engaged in a struggle with the Carmathians (q.v.), whom the Ikshidi prefect of Damascus had pacified by a promise of tribute; this promise was of course not held binding by the Fatimite general (Jafa.r b.
Something of course must be allowed for the superior and altogether extraordinary genius of the great princes of the house of Vasa; yet the causes of the decline of Denmark lay far deeper than this.
was not left absolutely his own master; for the provision regarding a Recess, or new constitution, showed plainly enough that such a constitution was expected, and, once granted, would of course have limited the royal power.
These writings were of course very numerous, and formed a vast mass of literature.
4 In enacting the Digest as a law book, Justinian repealed all the other law contained in the treatises of the jurists (that jus vetus which has been already mentioned), and directed that those treatises should never be cited in future even by way of illustration; and he of course at the same time abrogated all the older statutes, from the Twelve Tables downwards, which had formed a part of the jus vetus.
The constitutions contained in it number 4652, the earliest dating from Hadrian, the latest being of course Justinian's own.
Its contents, although of course of the utmost practical importance to the lawyers of that time, and of much value still, historical as well as legal, are far less interesting and scientifically admirable than the extracts preserved in the Digest.
And, whereas Justinian's constitutions contained in the Codex were all issued in Latin, the rest of the book being in that tongue, these Novels were nearly all published in Greek, Latin translations being of course made for the use of the western provinces.
It is of course written in Greek, and consists of parts of the substance of the Codex and the Digest, thrown together and often altered in expression, together with some matter from the Novels and imperial ordinances posterior to Justinian.
There was some foundation for this claim, although of course it could not have been made effective against Theodoric, who was more powerful than his supposed suzerain.
Apollinare in Urbe; but of course one cannot be sure how far in such a material the portrait fairly represents the original.
Enclosed seas, such as the Mediterranean, the Red Sea, the Black Sea, the Dead Sea, the Caspian and others, are dependent of course for the proportion and quality of their saline matter on local circumstances (see Ocean) .
The vegetation of Transylvania is luxuriant, except of course in the higher mountain zones.
By eloquence, readiness of wit, and adroit flattery of the jury he contrived to secure his acquittal in the face of the open hostility of the judge - a unique achievement at a time when the condemnation of prisoners whom the authorities wished to convict was a mere matter of course.
granted the incorporation charter in 1604; but on his accession to the English throne, Berwick of course lost its importance as a frontier town.
Other influences have of course contributed largely to the development of the country, but among them all the chief place must be assigned to that fortunate geological structure which, amid the revolutions of the past, has preserved in the centre of Scotland those fields of coal and ironstone which are the foundations of the national industry.
In and below the grounds of the Villa Aria, close to it, are the remains of an Etruscan town of the 5th century B.C., protected on the west by the mountains, on the east and south by the river, which by a change of course has destroyed about half of it.
Here the mode is at 4.5 petals, the mean at 5.6 petals, the median lying of course between the two.
A certain amount of blood is of course indispensable for hounds, but it should never be forgotten that a fox cub of seven or eight months old, though tolerably cunning, is not so very strong; the huntsman should not therefore, be over-eager in bringing to hand every cub he can find.
Merchant vessels must of course have plied between England and France or Frisia.
Subordinate supernatural beings (angels and demons), though of course accepted as real, are ignored as having no importance for life.
The value of the oranges exported from Jaffa in 1906 was £162,000; this amount increases annually, and of course in addition a considerable quantity is retained for home consumption.
The influence of a superior power upon the culture of a people cannot of course be denied; but history proves that it depends upon the resemblance between the two peoples and their respective levels of thought, and that it is not necessarily either deep or lasting.
This does not mean of course that the religion had no ethical traits - ethical motives are frequently found in the old Oriental religions - but they were bound up with certain naturalistic conceptions of the relation between deities and men, and herein lay their weakness.4 In the age of the Assyrian supremacy Palestine entered upon a series of changes, lasting for about three centuries (from about 740), which were of the greatest significance for its internal development.
5), to a larger extent into chlorine and water, of course mixed with the excess of oxygen and all the nitrogen of the air.
Sorel's Industrie chimique mine'rale (1902), and of course in every other general treatise on chemical technology.
This is of course that relative motion of the sun and stars which we have previously called the solar motion.
It is only when some of the stars considered are more remote and lie outside this sphere (but of course between the two planes) that there is a galactic crowding.
The result of course only applies to the brighter stars, for we have very little knowledge of the spectra 'of stars fainter than about magnitude 7.5.
Whiston informs us that, some time before the publication of this book, a message was sent to him from Lord Godolphin "that the affairs of the public were with difficulty then kept in the hands of those that were for liberty; that it was therefore an unseasonable time for the publication of a book that would make a great noise and disturbance; and that therefore they desired him to forbear till a fitter opportunity should offer itself," - a message that Clarke of course entirely disregarded.
- Abu Bekr died after a short reign on the 22nd of August 634, and as a matter of course was succeeded by Omar.
He belonged to the foremost family of Mecca, the Omayyads, and that he should favour his relations and the Koreish as a whole, in every possible way, seemed to him a matter of course.
The Himalayan districts of course are cool, and have a much greater rainfall than the plains.
While this was of course fruitless from the Korean point of view, it indicated that the Japanese must take strong measures to suppress the intrigues of the Korean court.
He was anticipated of course by many generations of spontaneous thinking (logica naturalis).
resultant determinate judgments, presumes of course Doivi the doctrine of the interpenetration of ideas laid down in the Sophistes as the basis of predication, but its use precedes the positive development of that formula, though not, save very vaguely, the exhibition of it, negatively, in the antinomies of the one and the many in the Parmenides.
Whether this is explanation or description, a problem or its solution, is of course another matter.
We have of course abandoned particular logical positions.
We define essences of course in a sense, but the essences of which men talk are abstractions, " creatures of the understanding."
It is of course possible to criticise even the experimental canons with some severity.
The extreme case of course is the human subject.
It is of course a newer type of psychological logic that is in question, one that is aware of Kant's " answer to Hume."
It is of course a postulate that all truths harmonize, but to give the harmonious whole in a projection in one plane is an undertaking whose adequacy in one sense involves an inadequacy in another.
Notable was the innovation that agreement by threefourths of a jury should be sufficient in civil cases and that a jury might be waived in minor criminal cases, a provision which of course was based on experience under the Mexican law.
Foreign commerce, which of course was contraband, being contrary to all Spanish laws, was active by the begin ning of the 1 th century.
There was of course no home life in early California.
The extent of the material thus introduced out of course may be seen from the following abstract.
This is of course a physical assumption whose propriety is justified solely by experience.
In the case of a body simply resting on an inclined plane, the reaction must of course be vertical, for equilibrium, and the slope a of the plane must therefore not exceed X.
The matter may of course be 3.
The conditions may of course be expressed in different (but equivalent) forms; e.g.
This sum is called the moment of the couple; it must of course have the proper sign attributed to it.
To every line in either of the original figures corresponds of course a parallel line in the other; moreover, it is seen that concurrent lines in either figure correspond to lines forming a closed polygon in the other.
The pressures of the beam on the supports are of course represented by ED, AE.
A frame of n joints and vi 3 bars may of course fail to be rigid owing to some parts being over-stiff whilst others are deformable; in such a case it will be found that the statical equations, apart from the thre identical relations imposed by the equilibrium of the extraneous forces, are not all independent but are equivalent to less thar 2,13 relations.
cal case where the direc FIG 34 tions of the three bars are concurrent is of course ex cluded.
The six independent quantities, or co-ordinates, which serve to specify the position of a rigid body in space may of course be chosen in an endless variety of ways.
Independent statical proofs are of course easily given.
This expression gives the work done by a given wrench when the body receives a given infinitely small twist; it must of course be an absolute invariant for all transformations of rectangular axe~.
In the analytical investigations of line geometry, these six quantities, supposed subject to the relation (4), are used to specify a line, and are called the six co-ordinates of the line; they are of course equivalent to only four independent quantities.
The same thing follows of course from the analytical expression (2) for the virtual work.
The principle can of course be extended to any system of particles or rigid bodies, connected together in any, way, provided we take into account the internal stresses, or reactions, between the various parts.
The use of frames which approximate to a critical form is of course to be avoided in practice.
The result might of course have been inferred from the theory of the parabolic funicular in 2.
In the case of continuous distributions of matter the summations in (9), (10), (II) are of course to be replaced by integrations.
To obtain the complete solution of (II) we must of course superpose the free vibration (6) with its arbitrary constants in order to obtain a complete representation of the most general motion consequent on arbitrary initial conditions.
For a complete solution of (34) we must of course superpose the free vibration (30); but owing to the factor ehlt the influence of the initial conditions gradually disappears.
The effect of ordinary finite forces during the infinitely short duraticm of this impulse is of course ignored.
Ihe number which expresses a physical quantity of any particular kind will of course vary inversely as the magnitude of the corresponding unit.
The total impulse in any finite interval of time is the integral of the impulses corresponding to the infinitesimal elements 3t into which the interval may be subdivided; the summation of which the integral is the limit is of course to be understood in the vectorial sense.
mif-mi The increase of the kinetic energy of the system in any interval of time will of course be equal to the total work done by all the forces acting on the particles.
Exact equality of the two observed periods (Ti, T2, say) cannot of course be secured in practice, and a modification is necessary.
axis of the fixed and OC that of the rolling cone, and J is the point of contact of the polhode and herpolhode, which are of course both circles.
L, M, N) denotes the system of extraneous forces referred (like the momenta) to the mass-centre as base, the co-ordinate axes being of course fixed in direction.
Free vibrations must of course be superposed on the forced vibrations given by (29) in order to obtain the complete solution of the dynamical equations.
Let V5 denote the velocity of advance at a given instant, which of course is common to all the particles of the body; a the angular velocity of the rotation at the same instant; 2,r = 6.2832 nearly, the circumference of a circle of the radius unity.
which must of course be at right FIG.
The aged Laertes is set aside; the young Telemachus does not succeed as a matter of course.
It is impossible of course to believe that a statue of Peisistratus was set up at Athens in the time of the free republic. The epigram is almost certainly a mere literary exercise.
It is of course possible to hold that the story of the dream is pure fiction, and that the !lines which Baeda translated were not Cadmon's at all.
Very intense cold prevails of course in winter in the mountains, and intense heat (1 r o F.
above the sea) - normally 91° F.; at other localities the range may be as great as 140°, and for the whole state of course even greater (155° or slightly more).
Over a great part of municipal administration - particularly that engaged in supplying the needs of the individual citizens - the finance may be assimilated to that of the joint-stock company, with of course the necessary differences, viz.
It was a matter of course that saints' days and church festivals were abolished as having no warrant in Scripture; Sunday alone remained, as the principal day of preaching.
The fine was in effect remitted by the king; imprisonment in the Tower lasted for about days; a general pardon (not of course covering the parliamentary censure) was made out, and though delayed at the seal for a time by Lord Keeper Williams, was passed probably in November 1621.
(C) The philosophical works which form part of the Instauratio must of course be classed according to the positions which they respectively hold in that scheme of the sciences.
A double inking apparatus is of course necessary, and the inking arrangements are placed at the two extreme ends of the machine.
These were of course created, but they were in their turn the agents of the phenomena of nature, " the angels of the spirit of fire and the angels of the spirit of the winds, and the angels of the spirits of the clouds and of darkness and of snow and of hail and of hoarfrost, and the angels of the voices and of the thunder and of the lightning, and the angels of the spirits of cold and of heat, and of winter and of spring and of autumn and of summer " (Jubilees, tr.
When available, a silicious rock containing copper or the precious metals is of course preferred to barren lining.
Williams Jackson, Persia, Past and Present.) is of course given to the Persian language (in four columns); the three Susian (Elamitic) columns lie to the left, and the Babylonian text is on a slanting boulder above them; a part of the Babylonian has been destroyed by a torrent, which has made its way over it.
37) cannot of course be proved.
The testimony of Josephus, who often names the temple hill "Moriah," is of course not original, and of no weight.
The difficulties in the way of successful invasion are of course not understated, as it was the object of the writer to exalt the prowess and perseverance of the faithful.
The Scots confession, though of course drawn up independently, is in substantial accord with the others then springing up in the countries of the Reformation, but is Calvinist rather than Lutheran.
The word "bond" is of course a mere translation of obligatio.
Contracts between private individuals are of course within the provision.
The Herhaz, though not important in length of course or drainage, also, like the Seafid Rud, breaks through the Elburz range from the inner southern scarp to the north.
This name, which survives in the modern Herat, has of course no connection with that, of the Aryans.
The possibility that Zoroaster himself was not a native of East Iran,but had immigrated thither (from Rhagae?), is of course always to be considered; and this theory has been used to explain the phenomenon that the Gathas, of his own composition, are written in a different dialect from the rest of the Avesta.
The decisive factor was of course their military superiority.
Subscription to the restored orthodox doctrine was to the Iranian a matter of course.
The victory on the plain of Karnal, whether accomplished by sheer fighting or the intervention of treachery, was the natural outcome of the previous situation, and the submission of the emperor followed as a matter of course.
In cultivation the potato varies very greatly not only as to the season of its growth but also as to productiveness, the vigour and luxuriance of its foliage, the presence or relative absence of hairs, the form of the leaves, the size and colour of the flowers, &c. The tubers vary greatly in size, form and colour; gardeners divide them into rounded forms and long forms or "kidneys," and there are of course varieties intermediate in form.
In 1904 an official estimate made the population 2,181,415, also including the Litoral (59,784), but of course all census returns and estimates in such a country are subject to many allowances.
Sufficient time must of course be allowed for the formation of the drops; otherwise no simple results can be expected.
If we make CR=z, and suppose z to vary, the shape of the bubble of course remaining the same, the values of y and of a will change, but the other quantities will be constant.
The time of vibration is of course itself a function of the nature of the fluid and of the size of the drop. By the method of dimensions alone it may be seen that the time of infinitely small vibrations varies directly as the square root of the mass of the sphere and inversely as the square root of the capillary tension; and it may be proved that its expression is - V C?
It is not of course everywhere so remarkable, or even distinct, and especially after its trend turns southward W.
The daily variation (not uncommonly 60° F.) is of course greatest in the most arid regions, where radiation is most rapid.
The evidence to hand shows that on heights and in open country, especially in the north, there may be few or even no Schizomycetes detected in the air, and even in towns their distribution varies greatly; sometimes they appear to exist in minute clouds, as it were, with interspaces devoid of any, but in laboratories and closed spaces where their cultivation has been promoted Lhe air may be considerably laden with them Of course the distribution of bodies so light and small is easily influenced by movements, rain, wind, changes of temperature, &c. As parasites, certain Schizomycetes inhabit and prey upon the organs of man and animals in varying degrees, and the conditions for their growth and distribution are then very complex.
There is of course the possibility in this case that the toxin was a proteid, but was in so small amount that it escaped detection.
The origin of antitoxin is of course merely a part of the general question regarding the production of anti-substances in general, as these all combine in the same way with their homo logous substances and have the same character of g toxin.
The process is of course observed by means of the microscope, but the clumps soon settle in the fluid and ultimately form a sediment, leaving the upper part clear.
The steppe flora penetrates into the mountains, ascending some 1100-1200 ft., and in sheltered valleys even up to 5500 ft., when it of course comes into contact with the purely alpine flora.
But the question of course arises, May not the epistle, in whole or in part, have originally been more of a treatise in epistolary form than at first sight appears?
The Bulgarians of course say they are not schismatics, but a national branch of the Church Catholic, using their sacred right to manage their own affairs in their own way.
Hannibal's movements prior to his invasion of Italy) are taken by Livy directly from Polybius, with occasional reference of course to other writers, and with the omission (as in the later decades) of all matters uninteresting to Livy or his Roman readers, and the addition of rhetorical touches and occasional comments.
The war of course made the distinction stronger; under the kings who were chosen for the purposes of the war national Gothic feeling had revived.
If the troops halt for several days, of course they require either a more densely populated country from which to requisition supplies, or a wider area of cantonments.
T here are of course a great number of important industries which have a general distribution throughout the country, being more or less fully developed here or there in accordance with the requirements of each locality.
In conclusion, there are of course some grounds for the Tubingen view, but they are wholly inadequate to bear the structure that has been raised upon them.
95-120) implied by the literary contacts of James of course precludes authorship by the Lord's brother, though this does not necessarily prove the superscription later still.
The governing classes are of course Russians, who constitute also the merchant and artizan classes.
He was strangely unlike the commanders of his time in many respects, though as a matter of course he was, when he saw fit to follow the accepted rules, equal to any in careful and methodical strategy.
Each of the associated churches is requested to look after a parish, not of course with any attempt to exclude other churches, but as having a special responsibility for those in that area who are not already connected with some existing church.
But, in fact, serfdom naturally took the form of an ugly ownership of live chattels on the part of a privileged class, and all sorts of excesses, of cruelty, ruthless exploitation and wanton caprice, followed as a matter of course.
- Among the authorities for Swift's life the first place is still of course occupied by his own writings, especially the fragment of autobiography now at Trinity College, Dublin, and his Correspondence, which still awaits an authoritative annotated edition.
The remarks already made on the corresponding taxes levied for imperial purposes of course apply to these.
The new channel into which the river flows is of course so much land lost, while the old bed constitutes an accession to the adjacent estates.
The same tendency is of course expressed in the "Logos" of the Fourth Gospel.
These books are of course anonymous, most of them being translations and adaptations.