The possible forms of the invariable cone are indicated in fig.
His almost invariable success raised the reputation of the Austrian army to a point which it never reached either before or since his day.
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.
The last is an invariable provision, and occurs in all subsequent Regency Acts.
(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.
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.
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 meal is an excellent substitute for soap, and is stated by Elliot to be an invariable concomitant of the Hindu bath.
And, while Yahweh's kingship was a living and present fact, it refused to be formulated in fixed invariable shape.
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.
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.
Vi), but rather that it is unaffected by consequences, and that it is more or less invariable for intelligent beings.
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.
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.
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.
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.
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.
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.
In the case of any bacterium discovered, observation must be made in a long series of instances in order to determine its invariable presence.
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.
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.
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.
It was henceforth common, though not invariable, among the Ptolemies.
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, 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.
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.
" 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 flow is steady, and the temperature of each point of the body invariable, the rate of transmission must be everywhere the same.
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.
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.
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.
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.
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.
Whenever the crocodile is out of the water the spur-winged plover is its invariable companion.
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.
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.
"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.
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.
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.
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.
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.