A Treatise on the Motion of a Single Particle, and of Two Particles Acting on One AnotherJohn Deighton, 1850 - 190 Seiten |
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accele acceleration of motion action apse apsidal angle apsidal distance axis balls body center of force center of gravity central orbit co-ordinate axes component accelerating effects component velocities conic section constant constrained to move curvature cycloid d²x determine the motion drawn ds ds ds dt dt ds dt dt dx dy ellipse equations of motion exerts fixed epoch fixed point force of constraint forces acting given heavy particle Hence impact initial lines instant integrating length of path line of collision mass moving effect moving point negative side origin osculating plane parabola parallel particle acted particle moves particle's perfect differential perpendicular plane curve plane of motion point of projection quantity radius radius-vector relative plane sin² straight line supposed surface tangent ticle v²² vertical ᏧᎾ
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Seite 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...
Seite 86 - The squares of the periods of revolution of any two planets are proportional to the cubes of their mean distances from the sun.