The possible forms of the invariable cone are indicated in fig.
The local vehicles that passed him invariable gave him a wave and a wide berth.
Ptolemy, following the invariable Greek method, placed them thus---1, s, .ib.
From the few observations that exist, it seems that farther south the southern winter winds decrease rapidly, becoming westerly, until at Assuan and Wadi Haifa the northerly winds are almost invariable throughout the year.
(1447-1512), sultan of Turkey, was the son of Mahommed II., whom he succeeded in 1481, but only after gaining over the janissaries by a large donative, which henceforth became for centuries the invariable prerogative of that undisciplined body on the accession of a new sultan.
The last is an invariable provision, and occurs in all subsequent Regency Acts.
" It is from the idea of a triangle that we discover the relation of equality which its three angles bear to two right ones; and this relation is invariable, so long as our idea remains the same " (i.
If the force, X be always the same in the same position, the particle may be regarded as moving in a certain invariable field of force.
"I know your outlook," said the Mason, "and the view of life you mention, and which you think is the result of your own mental efforts, is the one held by the majority of people, and is the invariable fruit of pride, indolence, and ignorance.
It was henceforth common, though not invariable, among the Ptolemies.
Three types of areometer are in use: (I) the ordinary hydrometer of invariable weight with a direct reading scale, a set of from five to ten being necessary to cover the range of specific gravity from 1 000 to 1.031 so as to take account of sea-water of all possible salinities; (2) the " Challenger " type of areometer designed by J.
Velocity Ratio of Components of Motion.As the distance between any two points in a rigid body is invariable, the projections of their velocities upon the line joining them must be equal.
If the flow is steady, and the temperature of each point of the body invariable, the rate of transmission must be everywhere the same.
His almost invariable success raised the reputation of the Austrian army to a point which it never reached either before or since his day.
Before 1886 exports exceeded imports; but in the twenty subsequent years there was an invariable excess of exports, valued in all at £52,000,000.
In the ostrich and its allies no trace of this median centre of ossification ever occurs; but with these exceptions its existence is invariable in all other birds.
on muscular anatomy, making the two major divisions of Aves (his Homalogonatae and Anomalogonatae, depend in the first instance on the presence or absence of a peculiar muscular slip in the leg, known as the ambiens, although indeed he expressly stated that this was not on account of the intrinsic importance of the muscle in question, but because of its invariable association with other peculiarities.
But, as Ueberweg points out, it might fairly be urged by Aquinas that he does not pretend to explain how the individual is actually created, but merely states what he finds to be an invariable condition of the existence of individuals.
In them was celebrated the funeral-feast on the day of burial and on its anniversary, as well as the eucharist, which was the invariable accompaniment of funerals in the primitive church (Bingham, FIG.Io.
But her frank recklessness, her generosity, her invariable good temper, her ready wit, her infectious high spirits and amazing indiscretions appealed irresistibly to a generation which welcomed in her the living antithesis of Puritanism.
These consist of galactin and lactochrome, substances peculiar to milk, discovered by Winter Blyth, with certain animal principles such as leucin, pepton, kreatin, tyrosin, &c. The salts in milk consist, according to the average of numerous analyses by Fleischmann, of the following Milk thus is not to be regarded as a definite chemical compound nor even as a mixture of bodies in fixed and invariable proportions.
Other virtues were all his own, his extreme gentleness, his love for children, his flawless honesty, his invariable kindliness, his chivalry to women and the weak.
The frequent or invariable recurrence of similar series of events gives birth in the mind to what are wrongly called "laws"; in fact, these "laws" are merely statements of experience gathered together by association, and have no other kind of validity.
It is the almost invariable practice of the kings of Prussia to command their forces in person, and the army commands, too, are generally held by leaders of royal or princely rank.
At the same time the groups based upon the integuments are of much the same extent as the Polypetalae and Gamopetalae of other systems. We do not yet know the significance of this correlation, which, however, is not an invariable one, between number of integuments and union of petals.
If a be the inclination of the instantaneous axis to the axis of symmetry, (3 the inclination of the latter axis to the invariable line, we have rcosfl=Cw cos a, r sin ~3 = Aw sin a, (6) whence tan ~ =~ tan a.
Hess in 1840) does not warrant the conclusion that he realized the existence of any law of invariable and reciprocal proportions in the combinations of acids and bases.
In marine hatcheries, on the other hand, it is the invariable practice to hatch the eggs, although the fry have to be put into the sea at the most critical period of their lives.
Whenever the crocodile is out of the water the spur-winged plover is its invariable companion.
Such a body, in free space, not acted on by any force except the attraction of its several parts, will go on rotating for ever in an invariable direction.
But in nothing in the house was the holiday so noticeable as in Marya Dmitrievna's broad, stern face, which on that day wore an invariable look of solemn festivity.
If the length of the thread be k"pt invariable, a certain tension will give but one ventral segment; the fundamental note of the thread is then of the same pitch as the note of the body to which it is attached.
And, while Yahweh's kingship was a living and present fact, it refused to be formulated in fixed invariable shape.
vi), but rather that it is unaffected by consequences, and that it is more or less invariable for intelligent beings.
For example, if we have two particles connected by a string, the invariable plane passes through the string, and if w be the angular velocity in this plane, the angular momentum relative to G is mibiri ri +m1o~~rz - r2 (miri2 +mirl2)c~,,
The fixed plane is parallel to the invariable plane at 0, and the line OH is called the invariable line.
The invariable line OH describes another cone in the body, called the invariable cone.
It appears / that if the body be sightly dis turbed from a state of rotation about the principal axis of / greatest or least moment, the invariable cone will closely sur round this axis, which will therefore never deviate far - from the invariable line.
This is, in fact, the invariable line of the free Eulerian rotation with which (as already remarked) we are here virtually concerned.
The effect of the link is to maintain the distance between the axes of those pins invariable; hence the common perpendicular of the axes of the pins is the line of connection, and its extremities may be called the connected points.
A consonant occurring medially is, generally speaking, invariable in the present language; thus the p and d of cupidus are b and dd in cybydd; but with the initial consonant the case is different.
In the case of any bacterium discovered, observation must be made in a long series of instances in order to determine its invariable presence.
Parmenides sought to reduce the variety of nature to a single material element; but he strictly discriminated the inconstant 7retOri from the constant oboia, and, understanding by " existence " universal, invariable, immutable being, refused to attribute to the IraO'q anything more than the semblance of existence.
That doctrine, if it is to possess cogency as a proof of the impossibility of the libertarian position, must assume that the amount of energy sufficient to account for physical and psychical changes is constant and invariable in quantity, an assumption which no scientific investigator is competent to prove.
It follows that, if we go on computing the elements a, b, c, d from the actual values of x, y, x' and y', at each moment when the planet is subject to the attraction of another body, they will no longer be invariable, but will slowly vary from day to day and year to year.
We first conceive of the planets as moving in invariable elliptic orbits, and thus obtain approximate expressions for their positions at any moment.
The meal is an excellent substitute for soap, and is stated by Elliot to be an invariable concomitant of the Hindu bath.
Opposite the refectory door in the cloister are two lavatories, an invariable adjunct to a monastic dining-hall, at which the monks washed before and after taking food.
Throughout the world, primary deposits of tinstone are in or closely connected with granite or acid eruptive rocks of the same type, its mineral associates being tourmaline, fluorspar, topaz, wolfram and arsenical pyrites, and the invariable gangue being quartz: the only exception to this mode of occurrence is to be found in Bolivia, where the tin ore occurs intimately associated with silver ores, bismuth ores and various sulphides, whilst the gangue includes barytes and certain carbonates.
It may be added that he first examined the conditions of stability of the system formed by Saturn's rings, pointed out the necessity for their rotation, and fixed for it a period (Io h 33 m) virtually identical with that established by the observations of Herschel; that he detected the existence in the solar system of an invariable plane such that the sum of the products of the planetary masses by the projections upon it of the areas described by their radii vectores in a given time is a maximum; and made notable advances in the theory of astronomical refraction (Mec. cel.
The number and proportion of successes was too high to admit of explanation by chance coincidence, but success was not invariable.
as usual, over the east walk; but, as a general rule, the arrangements deduced from the examples described may be regarded as invariable.
Plane Kinematics of a Rigid Body.The ideal rigid body, is one in which the distance between any two points is invariable.
It is found that the direction of the moon's equator remains nearly invariable with respect to the plane of the orbit, and therefore revolves with that plane in a nodal period of 18.6 years.
This is about 40° from the ascending node of the invariable plane, so that there is a well-marked deviation of his results from those of Hall.
H.) simplicity of the first experiments, pointing apparently to the conclusion that each element had its characteristic and invariable spectrum whether in the free state or when combined with other bodies, was soon found to be affected by complications which all the subsequent years of study have not completely resolved.
It had an invariable habit of digging a hole in the ground, into which it crawled backwards, remaining there all day with only its nose and ferrety eyes visible.
At first sight this singular structure appears so like a deformity that writers have not been wanting to account it such, 2 ignorant of its being a piece of mechanism most beautifully adapted to the habits of the bird, enabling it to extract with the greatest ease, from fir-cones or fleshy fruits, the seeds which form its usual and almost invariable food.
But filial feeling and established custom secured a measure of kindly sympathy, shown by precedence yielded at public games, and by the almost invariable abstinence of the colony from a hostile share in wars in which the mother city was engaged.
As then the Ent is one, invariable and immutable, all plurality, variety and mutation belong to the Nonent.
This plane remains invariable so long as no third body acts; when it does act the position of the plane changes very slowly, continually rotating round the radius vector of the planet as an instantaneous axis of rotation.
Units of this kind are called absolute on account of their fundamental and invariable character as contrasted with gravitational units, which (as we shall see presently) vary somewhat with the locality at which the measurements are supposed to be made.
A plane through G perpendicular to this vector has a fixed direction in space, and is called the invariable plane; it may sometimes be conveniently used as a plane of reference.
These form precisely that branch of economics into which moral ideas (beyond the plain prescriptions of honesty) can scarcely be said to enter, and where the operation of purely mercantile principles is most immediate and invariable.
But, if the impulse is not repeated, these new elements will again remain invariable.
The mean motion of the moon round the earth is then invariable, the longitude containing no inequalities of longer period than that of the moon's node, 18.6 y.
INVARIABLE PLANE, in celestial mechanics (see Astronomy), that plane on which the sum of the moments of momentum of all the bodies which make up a system is a maximum.
It derives its celebrity ffom the demonstration by Laplace that to whatever mutual actions all the bodies of a system may be subjected, the position of this plane remains invariable.
Form this product for every body or mass of matter in the system, and the sum of the moments is then invariable whatever be the direction of the plane of projection.
When all the bodies of the system are taken into account, the invariable plane is a certain mean among the planes of all the orbits.
In the case of the solar system the moment of Jupiter is so preponderant that the position of the invariable plane does not deviate much from that of the orbit of Jupiter.
See, whose result for the position of the invariable plane is inclination to ecliptic I° 35' 7" 74, longitude of node on ecliptic 106° 8', 46" 7 (Eq.
The former refers to the earth, which is continually changing the point of view of the observer as he is carried around the sun, while the latter relates to the invariable position of the matter which reflects the light.
Hall also reaches the interesting conclusion that the plane in question seems to lie near the invariable plane of the solar system, a result which might be expected if the light proceeded from a swarm of independent meteoric particles moving around the sun.
It seems not unlikely that the final conclusion will be that instead of the reflecting matter being composed of solid particles it is an exceedingly tenuous gaseous envelope surrounding the sun and revolving on an axis the mean position of which is between that of the sun's equator and that of the invariable plane of the solar system.
If the earth remained invariable, without any motion of matter on its surface, the result of this non-coincidence would be the revolution of the one pole round the other in a circle of radius (3-15", or about 15 ft., in a period of about 429 days.
Were these currents invariable their only effect would be that the Eulerian motion would not take place exactly round the mean pole of figure, but round a point slightly separated from it.
Even where the holder has not acquired this fixity of tenure, the terms of occupation have often been fixed and invariable.
invariable emotional sequences, I have separated these two terms.
invariable value; for instance, 10 yards of cloth.
invariable measure, seem more acceptable.
invariable standard, we might easily as  certain in what degree either of these causes operated.
invariable rule of the Roman cook was apparently " pepper with everything " - savory or sweet.
invariable practice is not to reveal his sources.
However, these days almost invariable experts would be members of professional bodies.
In that case the general, tho not invariable, superiority of the Q version remains to be accounted for.
plausible to assume that the distinction is strict and invariable?
If we accept the hypothesis that each kind of atom has a specific and invariable weight, we can, with the aid of the above theory, make most important inferences concerning the proportions by weight in which substances combine to form compounds.
The law of constant proportions asserts that when two elements unite to form a compound the weights that combine are in an Law of invariable ratio, a ratio that is characteristic of that compound.
Thus if Dalton's diagram for the molecule, propor- or compound atom, of water be correct, it follows that in all samples of water the total number of the hydrogen atoms is equal to that of the oxygen atoms; consequently, the ratio of the weight of oxygen to that of hydrogen in water is the same as the ratio of the weights of an oxygen and a hydrogen atom, and this is invariable.
In most cases the environment of a collector is not absolutely invariable.
- We, with our stereotyped modern notions of the grouping of voices, may get some idea of the freedom of the 16thcentury composers' imagination by noting that the four-part movements for semi-chorus or solo voices in Palestrina's Masses present us with no fewer than seventeen different combinations of voices, and that of these the familiar group of soprano, alto, tenor and bass is not the most common, though it is invariable as that used for entire four-part Masses.
taken as an invariable principle in the plans of both parties, that the integrity of the kingdom of the Two Sicilies should be respected, that the duke of Wurttemberg should receive in Germany an indemnity proportionate to his losses, that the dominions of the elector of Bavaria should be preserved intact, and that the independence of the Ionian Islands should not be violated.
Since the intrinsic energies of the two systems under given conditions are invariable, the difference between them is constant, so that the heat evolved when the first system is converted into the second is equal to that absorbed when the second system is re-transformed into the first (cf.
The average volume composition of the gases of the atmosphere may be represented (in parts per 10,000) as follows: In addition to these gases, there are always present in the atmosphere many micro-organisms or bacteria (see Bacteriology); another invariable constituent is dust, which plays an important part in meteorological phenomena.
Here then we have the basis of a view in which there are not two media to be considered, but one medium, homogeneous in essence and differentiated as regards its parts only by the presence of nuclei of intrinsic strain or motion - in which the physical activities of matter are identified with those arising from the atmospheres of modified aether which thus belong to its atoms. As regards laws of general physical interactions, the atom is fully represented by the constitution of this atmosphere, and its nucleus may be left out of our discussions; but in the problems of biology great tracts of invariable correlations have to be dealt with, which seem hopelessly more complex than any known or humanly possible physical scheme.
pp. 102 seq.); but it is not known whether the sacred pole ('asherah), an invariable feature of a Canaanite sanctuary, was usual in a Phoenician temple (ibid.
The right-hand expression is six times the volume of the tetrahedron of which the lines AA, BB representihg the forces are opposite edges; and we infer that, in whatever way the wrench be resolved into two forces, the volume of this tetrahedron is invariable.
(See Gyroscope and Mechanics.) For the same reason as in the case of the gyroscope the actual motion of the earth's axis is at right angles to the line joining the earth and the attracting centre, and without going into the details of the mathematical processes involved, we may say that the ultimate mean effect will be to cause the pole P of the earth to move at right angles to the circle joining it to the pole of the ecliptic. Were the position of the latter invariable, the celestial pole would move round it in a circle.
See, whose result for the position of the invariable plane is inclination to ecliptic IÃ‚° 35' 7" 74, longitude of node on ecliptic 106Ã‚° 8', 46" 7 (Eq.
This is about 40Ã‚° from the ascending node of the invariable plane, so that there is a well-marked deviation of his results from those of Hall.
Cromolyn is a common but not invariable first choice for children who have asthma.
Provide invariable routines such as morning routines and bedtime routines.
near affinity; and while more nearly related to the Marsupialia (q.v.), in which an imperfect allantoic placenta is sometimes developed, it is broadly distinguished therefrom by the invariable presence of a functional placenta by the aid of which the foetus is nourished throughout the greater portion of intra-uterine life.
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