Every orbit must clearly have a hodograph, and, conversely, every hodograph a corresponding orbit; and, theoretically speaking, it is possible to deduce the one from the other, having given the other circumstances of the motion.
He has examined subjects in which the whole of the hair of the body is white, but the eyeballs are pigmented, often deeply; and, conversely, he has seen cases in which the eyes are pink but the hair is pigmented.
Conversely, trains arriving at A from B, C and D must be broken up. and remade in order to distribute their wagons to the different, dock branches.
Conversely, if this condition be satisfied, an infinitesimal deformation is possible.
Conversely old English writers had no hesitation in translating as "earl" foreign titles which we now render "count."
The theorems are of use, not only for finding the volumes or areas of solids or surfaces of revolution, but also, conversely, for finding centroids or centres of gravity.
Since the area of a circle equals that of the rectilineal triangle whose base has the same length as the circumference and whose altitude equals the radius (Archimedes, KIKXou A ir, prop.i), it follows that, if a straight line could be drawn equal in length to the circumference, the required square could be found by an ordinary Euclidean construction; also, it is evident that, conversely, if a square equal in area to the circle could be obtained it would be possible to draw a straight line equal to the circumference.
Conversely, by heating protocatechuic acid with potash and methylene iodide, piperonylic acid was regained.
Conversely, a combination of increased pressure and lowering of temperature will, if carried far enough, reduce a gas to a liquid, and afterwards to the solid state; and nearly every gaseous substance has now undergone this operation.
The circulation being always zero round a small plane curve passing through the axis of spin in vortical motion, it follows conversely that a vortex filament is composed always of the same fluid particles; and since the circulation round a cross-section of a vortex filament is constant, not changing with the time, it follows from the previous kinematical theorem that aw is constant for all time, and the same for every cross-section of the vortex filament.
Conversely, if the kinetic energy T is expressed as a quadratic function of x, x x3, y1, y2, y3, the components of momentum, the partial differential coefficient with respect to a momentum component will give the component of velocity to correspond.
Cesare Borgia had entered into the Principe as a representative figure rather than an actual personage; so now conversely the theories of the Principe assumed the outward form and semblance of Castruccio.
The abundant records by the Mississippi River Commission and the United States Weather Bureau (by which accurate and extremely useful predictions of floods in the lower river course are made, on the basis of the observed rise in the tributaries) demonstrate a num~ bar of interesting features, of which the chief are as follows: the fall of the river is significantly steepened and its velocity isaccelerated down stream from the point of highest rise; conversely, the fall and the velocity are both diminished up stream from the same point.
Conversely, the isotherms of January are convex southward, with a monthly mean below 32 in the northern third of the interior, and of zero on the mid-northern boundary.
In the limit of dilution when n is very small compared with N this gives Raoult's experimental law that the relative lowering is n/N, which we deduced from the osmotic law, and conversely from which the osmotic law follows, while for more concentrated solutions agreement is obtained by assigning arbitrary values to a, which, as we have seen, is 5 in the case of cane-sugar.
Possibly those domesticated cats with unusually short and bushy tails may have a larger share of European wild-cat blood; while, conversely, such wild cats as show long tails may have a cross of domesticated blood.
To Assyria, while the reformation in the reign of Josiah (621 B.C.) is conversely associated with the decay of Assyrian power after the death of Assur-bani-pal.
Two relations R and R' are said to be ordinally similar, if a one-one relation holds between the members of the two fields of R and R', such that if x and y are any two members of the field of R, such that x has the relation R to y, and if x' and y are the correlates in the field of R' of x and y, then in all such cases x has the relation R' to y', and conversely, interchanging the dashes on the letters, i.e.
Two propositional functions 4)x and fix are "extensionally identical" if any determination of x in 4)x which converts 4)x into a true proposition also converts 4'x into a true proposition, and conversely for 4' and 4).
(iii.) Conversely, if x-a is a factor of P, then poand plan - 1 +...
Are rightly taken as one psalm, but conversely Ps.
On the Shabwat inscription `Athtar is the father of Sin, and it is noteworthy that these two deities also appear as nearly related in the Babylonian legend of 'Ishtar's descent to Hades, where `Ishtar is conversely the daughter of the god Sin.
2 Conversely i Chron.
Conversely, the influence of Pallas at court need not be terminated by his ceasing to be minister early in 55; but it would have been overshadowed not later than the year 60 by the influence of Poppaea, who in the summer of that year enabled the Jews to win their cause in the matter of the Temple wall, and would certainly have supported them against Felix.
The warmed air of summer produces an area of low pressure in the west-central United States, which interrupts the belt of high pressure that planetary conditions alone would form around the earth about latitude 30; hence there is a tendency of the summer winds to blow inward from the northern Pacific over the Cordilleras toward the continental centre, and from the trades of the torrid Atlantic up the Mississippi Valley; conversely in winter time, the cold air over the lands produces a large area of high pressure from which the winds tend to flow outward; thus repelling the westerly winds of the northern Pacific and greatly intensifying the outflow southward to the Gulf of Mexico and eastward to the Atlantic. As a result of these seasonal alternations of temperature and pressure there is something of a monsoon tendency developed in the winds of the Mississippi Valley, southerly infiowing winds prevailing in summer and northerly outfiowing winds in winter; but the general tendency to inflow and outflow is greatly modified by the relief of the lands, to which we next turn.
Conversely, there is, however, conclusive evidence that in some instances and in respect of certain qualities the opposite belief is true.
Conversely, a cold bath increases it.
In a survey of the vernacular literature of Scotland it is advantageous to keep in mind that there are two main streams or threads running throughout, the one literary in the higher sense, expressing itself in " schools " of a more artificial or academic type; the other popular, also in the better sense of that term, more native, more rooted in national tradition, more persistent and conversely less bookish in fashion.
According to this, the days at the summer solstice were twenty-four hours in length, and conversely at the winter solstice the nights were of equal duration.
Man is running or not running; and reasoning is a combination of judgments: conversely, there is a mental analysis of reasoning into judgments, and judgment into conceptions, beneath the linguistic analysis of rational discourse into propositions, and propositions into terms. Logic, according to this new school, which has by our time become an old school, has to co-ordinate these three operations, direct them, and, beginning with conceptions, combine conceptions into judgments, and judgments into inference, which thus becomes a complex combination of conceptions, or, in modern parlance, an extension of our ideas.
" I, being a man, am mortal," and " If I am a man, I am mortal "; and conversely, that different judgments are often similarly expressed.
Conversely, the extinction of lights is part of the ceremony of excommunication (Pontificate Rom.
Conversely every positive quadratic surd number, when expressed as a simple continued fraction, will give rise to a recurring fraction.
If there be refraction at a collective spherical surface, or through a thin positive lens, 0' 2 will lie in front of O' 1 so long as the angle u2 is greater than u 1 (" under correction "); and conversely with a dispersive surface or lenses (" over correction ").
A perfect obligation may become imperfect by lapse of time or other means, and, conversely, an imperfect obligation may under certain circumstances become perfect.
Pp. 268 et seq.); and conversely on boiling with dilute acids or alkalis it takes up a molecule of water and yields two molecules of gallic acid, C 7 H 6 0 5.
Conversely, French wheat taken to the West Indies produced only barren spikes, while native wheat by its side yielded an enormous harvest.
Conversely, the traces left by a casual set-back, such as famine, war, or an epidemic disease, remain long after it has been succeeded by a period of recuperation, and are to be found in the ageconstitution and the current vital statistics.
Conversely, any six geometrical relations restrict the body in general to one or other of a series of definite positions, none of which can be departed from without violating the conditions in question.
Conversely it is seen that any wrench can be replaced in an infinite number of ways by two forces, and that the line of action of one of these may be chosen quite arbitrarily.
Conversely, we can show that if the, virtual work of the extraneous forces be zero for every infinitesimal displacement of the body as rigid, these forces must be in equilibrium.
Just as a system of forces is in general equivalent to a single force, so a given force can conversely be replaced by combinations of other forces, in various ways.