The Quarterly Journal of Pure and Applied Mathematics, Volume 11

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J.W. Parker, 1871 - Mathematics
 

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Page 96 - ... opening and alleging, that Christ must needs have suffered, and risen again from the dead; and that this Jesus, whom I preach unto you, is Christ.
Page 206 - On the small oscillations of a Rigid Body about a Fixed Point under the action of any Forces, and more particularly when gravity is the only force acting," Transactions of the Boyal Irish Academy, vol.
Page 96 - Justin Martyr's Dialogue with Trypho the Jew. Translated from the Greek Text, with Notes, chiefly for the advantage of English Readers. A preliminary Dissertation and a short Analysis. By HENRY BROWN, MA 8vo. bds. 9«.
Page 76 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Page 207 - ... to these directions are at right angles. III. A Free Rigid Body. 4. A free rigid body may receive any displacement by being screwed along an axis in space, the distance it travels along the axis when turned through the unit of angle being termed the pitch of the screw.
Page 207 - Whatever be the initial motion of the body, it may be distributed uniquely among the six normal screws, and thus the entire motion is determined. IV. A constrained Rigid Body. 7. If a rigid body have Ъ degrees of freedom, its motion is compounded of vibrations about k normal screws.
Page 15 - I)2 = 0 ; and by reason of this property it is very easy to find the equations of the reciprocal surfaces, or plane-equations of the quartic surfaces in question. And, in the same paper, it is noticed that the surfaces of the form in question include the reciprocals of several interesting surfaces of the orders 6, 8, 9, 10, and 12 ; viz., order 6, parabolic ring : order 8, elliptic ring : order 9, centrosurface of paraboloid : order 10, parallel surface of paraboloid ; envelope of planes through...
Page 294 - On the summation by definite integrals of geometrical series of the second and higher orders.
Page 26 - General Solution and Extension of the Problem of the 15 School Girls,
Page 29 - ... ab cd ef gh ij kl mn op qr st uv wx yz...

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