The Collected Mathematical Papers of Arthur Cayley, 4. sējumsUniversity Press, 1891 - 618 lappuses This scarce antiquarian book is included in our special Legacy Reprint Series. In the interest of creating a more extensive selection of rare historical book reprints, we have chosen to reproduce this title even though it may possibly have occasional imperfections such as missing and blurred pages, missing text, poor pictures, markings, dark backgrounds and other reproduction issues beyond our control. Because this work is culturally important, we have made it available as a part of our commitment to protecting, preserving and promoting the world's literature. |
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Bieži izmantoti vārdi un frāzes
abcd angles ax² axes axis b₁ centre coefficients cone conic conique considered contour line coordinates coordonnées courbe covariants Crelle cubic cubic equation cubic function curve d'une degré denote determinant deux devient donne donnée écrivant effet ellipsoid équation equation of differences expression facteur factor formule function given integral l'ellipse l'ellipsoïde l'équation l'expression l'on letter lieu manière memoir moyen nombre obtained obtient peut plane point of contact point of intersection points doubles polyhedron quadric quantities quartic equation quartic function rapport respectively roots sera sin² solution substituting surface tangent term theorem transformation trouve valeurs values variables write zéro
Populāri fragmenti
43. lappuse - On a remarkable discovery in the theory of canonical forms and of hyperdeterminants
515. lappuse - On Simultaneous Differential Equations of the First Order in which the Number of the Variables exceeds by more than one the Number of the Equations,
515. lappuse - Force cc (Dist.)~2, and in some other cases where the force becomes infinite. According to the theory, the velocity becomes infinite at the centre, but the direction of the motion is there abruptly reversed ; so that the body in its motion does not pass through the centre, but on arriving there, forthwith returns to its original position. Of course such a motion cannot occur in nature, where neither a force nor a velocity ever is actually infinite Force cc (Dist.)~2, = -^-, which is the case above...
561. lappuse - ... the magnitudes of the axes, does not appear to have been anywhere explicitly enunciated ; as regards their direction, it is comprised in the theorem that the directions at any point are the three rectangular directions at that point in regard to the ellipsoid of gyration for the centre of gravity*, post, No. 159. The notion of the ellipsoids, and of the relation between the ellipsoids at a given point and those at the centre of gravity, once established, the theory of principal axes and moments...
576. lappuse - I is the inclination of the resultant axis to the invariable axis ; and v=P cos3 £J, where if we imagine a line AQ having the same position relatively to the axes fixed in space that the invariable axis has to the principal axes of the body, then J is the inclination of this line to the invariable axis. It is found that p, q, r are functions of v only, whereas X...
571. lappuse - ... direction of this axis : this remark is hardly required for Poinsot's purpose, and he does not further develope the theory of the motion of a body in space. The effect of a couple in a plane perpendicular to a principal axis is to turn the body about this axis with an angular velocity proportional to the moment of the couple divided by the moment of inertia about the axis. And hence by resolving any couple into couples perpendicular to the principal axes, the effect of such couple may be calculated...