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 116
... parabola at a point whose distance from the focus exceeds the latus rectum , and passes through the focus : prove that it will ... given circle , and having its focus at a given point on the circle : prove ... CONIC SECTIONS , GEOMETRICAL .
... parabola at a point whose distance from the focus exceeds the latus rectum , and passes through the focus : prove that it will ... given circle , and having its focus at a given point on the circle : prove ... CONIC SECTIONS , GEOMETRICAL .
Página 118
Joseph Wolstenholme. 666. A given straight line meets one of a series of coaxial circles in A , B : prove that the parabola ... given straight line with the radical axis and KO drawn at right angles to KL ... CONIC SECTIONS , GEOMETRICAL .
Joseph Wolstenholme. 666. A given straight line meets one of a series of coaxial circles in A , B : prove that the parabola ... given straight line with the radical axis and KO drawn at right angles to KL ... CONIC SECTIONS , GEOMETRICAL .
Página 119
... given parabola and with its hypotenuse in a given direction : prove that its vertex lies on a fixed straight line ... CONIC SECTIONS , GEOMETRICAL , 119.
... given parabola and with its hypotenuse in a given direction : prove that its vertex lies on a fixed straight line ... CONIC SECTIONS , GEOMETRICAL , 119.
Página 121
... parabola and touching the tangent at the vertex of that parabola : prove that the rectangle under their radii is constant ... given , prove that the para- bola will touch a fixed parabola to which the ... CONIC SECTIONS , GEOMETRICAL . 121.
... parabola and touching the tangent at the vertex of that parabola : prove that the rectangle under their radii is constant ... given , prove that the para- bola will touch a fixed parabola to which the ... CONIC SECTIONS , GEOMETRICAL . 121.
Página 123
... conic can be inscribed with a focus at the intersection of the diagonals . 732. Given a focus S and two tangents , the locus of the second focus is the straight line through the intersection of the tangents per- pendicular to the line ...
... conic can be inscribed with a focus at the intersection of the diagonals . 732. Given a focus S and two tangents , the locus of the second focus is the straight line through the intersection of the tangents per- pendicular to the line ...
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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