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accele acceleration of motion action apse apsidal angle apsidal distance attracted axis balls center of force center of gravity central orbit co-ordinate axes component accelerating effects component velocities conic section constant constrained to move cycloid denote the accelerating determine the motion differential equation dt dt ellipse equations of motion exerts fixed epoch fixed plane fixed point force acting force of constraint force tending heavy particle impact initial lines initial position initial velocities instant of projection integrating length of path line of collision mass measured moving effect moving point Multiplying negative side osculating plane parabola parallel particle acted particle describes particle moves particle's passing perfect differential perpendicular plane curve plane of motion plane of xy point of projection positive side quantity radius radius-vector relative plane shews square straight line drawn supposed surface tangent ticle tion vertex vertical zero
Page 191 - SOLUTIONS of the GEOMETRICAL PROBLEMS proposed at St. John's College, Cambridge, from 1830 to 1846, consisting chiefly of Examples in Plane Coordinate Geometry. With an Appendix, containing several general Properties of Curves of the Second Order...
Page 195 - Elementary Course of Mathematics. By H. Goodwin, DD 6th Edition. 8vo. 16s. Problems and Examples, adapted to the ' Elementary Course of Mathematics.' 3rd Edition. 8vo. 5s. Solutions of Goodwin's Collection of Problems and Examples. By WW Hutt, MA 3rd Edition, revised and enlarged. 8vo. 9s.
Page 86 - The squares of the periods of revolution of any two planets are proportional to the cubes of their mean distances from the sun.
Page 199 - Collection of Elementary Problems in Statics and Dynamics. Designed for Candidates for Honours, first three days. By W. WALTON, MA 8vo. 10».
Page 197 - Treatise on Analytical Geometry of Three Dimensions. Containing the Theory of Curve Surfaces, and of Curves of Double Curvature. By J. HYMERS, DD Third Edition.
Page 192 - Treatise on the Motion of a Single Particle and of two Particles acting on one another. By A.
Page 195 - Solutions of the Geometrical Problems proposed at St. John's College, Cambridge, from 1830 to 1846, consisting chiefly of Examples in Plane Co-ordinate Geometry. With an Appendix, containing several general Properties of Curves of the Second Order...
Page 191 - Elementary Course of Mathematics. Designed principally for Students of the University of Cambridge. By HARVEY GOODWIN, DD, Lord Bishop of Carlisle.
Page 200 - DOCTRINE of LIMITS, with its Applications: namely, Conic Sections ; the first Three Sections of Newton ; and the Differential Calculus.