Mathematical Problems on the First and Second Divisions of the Schedule of Subjects for the Cambridge Mathematical Tripos ExaminationMacmillan and Company, 1878 - 480 páginas |
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Página ix
... Surfaces : Particles joined by Strings 2560-2573 . IV . Motion of Strings on Curves or Surfaces • 2574-2596 . V. Resisting Media . Hodographs • 2597-2613 . I. 2614-2632 . II . 2633-2657 . III . 2658-2692 . IV . DYNAMICS OF A RIGID BODY ...
... Surfaces : Particles joined by Strings 2560-2573 . IV . Motion of Strings on Curves or Surfaces • 2574-2596 . V. Resisting Media . Hodographs • 2597-2613 . I. 2614-2632 . II . 2633-2657 . III . 2658-2692 . IV . DYNAMICS OF A RIGID BODY ...
Página 9
... surface of the tetrahedron coincide . 89. If from any point O be let fall perpendiculars Oa , Ob , Oc , Od on the faces of a tetrahedron ABCD , the perpendiculars from A , B , C , D on the corresponding faces of the tetrahedron abcd ...
... surface of the tetrahedron coincide . 89. If from any point O be let fall perpendiculars Oa , Ob , Oc , Od on the faces of a tetrahedron ABCD , the perpendiculars from A , B , C , D on the corresponding faces of the tetrahedron abcd ...
Página 191
... surface generated by the revolution about its conjugate axis of an hyperbola of excentricity e TM 1 . 1160. Trace the conics 2x - 2xy + 2ay - a0 , 2y - 2xy - 2ay + a = 0 , 2xy - 2ay + a2 = 0 ; proving that they touch each other two and ...
... surface generated by the revolution about its conjugate axis of an hyperbola of excentricity e TM 1 . 1160. Trace the conics 2x - 2xy + 2ay - a0 , 2y - 2xy - 2ay + a = 0 , 2xy - 2ay + a2 = 0 ; proving that they touch each other two and ...
Página 320
... surface is cut off by a plane parallel to the former prove that the locus of the circular boundary of this segment is a sphere . 1864. Two catenaries touch each other at the vertex , and the linear dimensions of the outer are twice ...
... surface is cut off by a plane parallel to the former prove that the locus of the circular boundary of this segment is a sphere . 1864. Two catenaries touch each other at the vertex , and the linear dimensions of the outer are twice ...
Página 321
... the volume generated by Ба revolution about the axis of x is $ ( 854/2 , 0 ) ; ; and that of the area of За the surface generated is ( 52 o ) . 8√2 ' W. P. 21 1876 . Prove that the curve b3y2 = x3 ( INTEGRAL CALCULUS . 321.
... the volume generated by Ба revolution about the axis of x is $ ( 854/2 , 0 ) ; ; and that of the area of За the surface generated is ( 52 o ) . 8√2 ' W. P. 21 1876 . Prove that the curve b3y2 = x3 ( INTEGRAL CALCULUS . 321.
Otras ediciones - Ver todas
Mathematical Problems on the First and Second Divisions of the Schedule of ... Joseph Wolstenholme Sin vista previa disponible - 2012 |
Mathematical Problems: On the First and Second Divisions of the Schedule of ... Joseph Wolstenholme Sin vista previa disponible - 2017 |
Términos y frases comunes
angular points angular velocity asymptotes ax² axes bisected cardioid centre of perpendiculars chord circumscribed circle co-ordinates common point common tangents confocal conicoid conjugate diameters constant continued fraction cos² curve described diagonals directrix envelope equal excentric angles fixed circle fixed point fixed straight line foci focus four points given circle given conic given ellipse given point given the equations inscribed latus rectum length locus major axis meet minor axis normal parabola parallel particle passes plane point of intersection points of contact polar pole prove radical axis radius of curvature ratio rectangle rectangular hyperbola respectively right angles roots self-conjugate sin² sin³ straight line joining subtends a right tangents drawn tetrahedron triangle ABC velocity vertex vertical
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