Mathematical Problems on the First and Second Divisions of the Schedule of Subjects for the Cambridge Mathematical Tripos ExaminationMacmillan and Company, 1878 - 480 sider |
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Resultat 1-5 av 80
Side 101
... distance of its centre from the centre of the inscribed circle , then will 8'2 = p2 + 2p2 . 581. The straight line ... Distances . Polygons . 585. At PLANE TRIGONOMETRY . 101.
... distance of its centre from the centre of the inscribed circle , then will 8'2 = p2 + 2p2 . 581. The straight line ... Distances . Polygons . 585. At PLANE TRIGONOMETRY . 101.
Side 102
... distance from its centre is c are a , ß : prove that 16a2bc2 ( a2 + b2 − c2 ) 3 - = a2 ( tan a – tan ẞ ) 2 + b2 ( tan a + tan ß ) * ; - 2a being that side which is cut by the distance c . 588. The diagonals 2a , 2b of a rhombus subtend ...
... distance from its centre is c are a , ß : prove that 16a2bc2 ( a2 + b2 − c2 ) 3 - = a2 ( tan a – tan ẞ ) 2 + b2 ( tan a + tan ß ) * ; - 2a being that side which is cut by the distance c . 588. The diagonals 2a , 2b of a rhombus subtend ...
Side 116
... distance of P from the latus rectum is a mean proportional between QP , PQ ' . 645. A circle touches a parabola at a point whose distance from the focus exceeds the latus rectum , and passes through the focus : prove that it will cut ...
... distance of P from the latus rectum is a mean proportional between QP , PQ ' . 645. A circle touches a parabola at a point whose distance from the focus exceeds the latus rectum , and passes through the focus : prove that it will cut ...
Side 119
... distance equal to the latus rectum ; a chord of the outer touches the inner and on it as diameter is described a ... distances of these from the focus are in a constant ratio . 686. Two tangents are drawn to a parabola equally inclined ...
... distance equal to the latus rectum ; a chord of the outer touches the inner and on it as diameter is described a ... distances of these from the focus are in a constant ratio . 686. Two tangents are drawn to a parabola equally inclined ...
Side 120
... distance from it equal to the latus rectum . 691. A chord is drawn in a given direction and on it as diameter a circle is described : prove that the distance between the middle points of this chord and of the other common chord of the ...
... distance from it equal to the latus rectum . 691. A chord is drawn in a given direction and on it as diameter a circle is described : prove that the distance between the middle points of this chord and of the other common chord of the ...
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Vanlige uttrykk og setninger
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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