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 viii
... Curvature 379 PAGE 383 388 390 393 396 397 402 406 409. CONIC SECTIONS , GEOMETRICAL . PROBLEMS 636-712 . I. Parabola 713-843 . II . 844-882 . III . Central Conics Rectangular Hyperbola CONIC SECTIONS , ANALYTICAL . 883-913 . 914-975 ...
... Curvature 379 PAGE 383 388 390 393 396 397 402 406 409. CONIC SECTIONS , GEOMETRICAL . PROBLEMS 636-712 . I. Parabola 713-843 . II . 844-882 . III . Central Conics Rectangular Hyperbola CONIC SECTIONS , ANALYTICAL . 883-913 . 914-975 ...
Página 118
... curvature at P and U the pole of PR : prove that OU will be perpendicular to SP . 674. From a fixed point O is drawn a straight line OP to any point P on a fixed straight line : prove that the straight lines drawn through Pequally ...
... curvature at P and U the pole of PR : prove that OU will be perpendicular to SP . 674. From a fixed point O is drawn a straight line OP to any point P on a fixed straight line : prove that the straight lines drawn through Pequally ...
Página 121
... curvature at the vertex of the other : prove that this relation is reciprocal and that the parabolas cut at right angles . 703. From the ends of a chord PP ' are let fall perpendiculars PM , P'M ' on the tangent at the vertex : prove ...
... curvature at the vertex of the other : prove that this relation is reciprocal and that the parabolas cut at right angles . 703. From the ends of a chord PP ' are let fall perpendiculars PM , P'M ' on the tangent at the vertex : prove ...
Página 126
... curvature at O in direction of either tangent is double the harmonic mean between OP , OQ ; tangents drawn outside the ellipse being considered negative . 762. An ellipse is described touching two given confocal conics and having the ...
... curvature at O in direction of either tangent is double the harmonic mean between OP , OQ ; tangents drawn outside the ellipse being considered negative . 762. An ellipse is described touching two given confocal conics and having the ...
Página 129
... points on the ellipse : prove that the circles of curvature at P ' , Q ' , R ' meet in one point lying on the ellipse and on the circle P'Q'R ' . W. P. 9 797. A conic , centre O , is inscribed in CONIC SECTIONS , GEOMETRICAL . 129.
... points on the ellipse : prove that the circles of curvature at P ' , Q ' , R ' meet in one point lying on the ellipse and on the circle P'Q'R ' . W. P. 9 797. A conic , centre O , is inscribed in CONIC SECTIONS , GEOMETRICAL . 129.
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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