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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Side viii
... - ordinates Focal Curves : Reciprocal Polars 2174-2179 . VI . General Functional and Differential Equations 2180-2187 . VII . Envelopes PROBLEMS STATICS . Composition and Resolution of Forces . Equilibrium viii CONTENTS .
... - ordinates Focal Curves : Reciprocal Polars 2174-2179 . VI . General Functional and Differential Equations 2180-2187 . VII . Envelopes PROBLEMS STATICS . Composition and Resolution of Forces . Equilibrium viii CONTENTS .
Side 115
... focal distances of the points of contact is 120 ° . 640. Two parabolas have a common focus and axes at right angles , a circle is drawn touching both and passing through the focus : prove that the points of contact are ends of a ...
... focal distances of the points of contact is 120 ° . 640. Two parabolas have a common focus and axes at right angles , a circle is drawn touching both and passing through the focus : prove that the points of contact are ends of a ...
Side 116
... focal chord is drawn parallel to the tangent at P : prove that the circle on this chord as diameter will pass through Q , Q , and that the focal chord and QQ ' will intersect on the directrix . 652. Two parabolas whose foci are S , S ...
... focal chord is drawn parallel to the tangent at P : prove that the circle on this chord as diameter will pass through Q , Q , and that the focal chord and QQ ' will intersect on the directrix . 652. Two parabolas whose foci are S , S ...
Side 117
... focal chord parallel to AP . Explain the result when P coincides with A. 661. A circle on a double ordinate to the axis PP ' meets the parabola again in Q , Q : prove that the latus rectum of the parabola which touches PQ , PQ ' , P'Q ...
... focal chord parallel to AP . Explain the result when P coincides with A. 661. A circle on a double ordinate to the axis PP ' meets the parabola again in Q , Q : prove that the latus rectum of the parabola which touches PQ , PQ ' , P'Q ...
Side 119
... focal parabolas : prove that the corresponding normals envelope a fixed parabola whose directrix passes through O and is parallel to the axis of the system , and whose focus S " is such that OS is bisected by S. 681. A point O on the ...
... focal parabolas : prove that the corresponding normals envelope a fixed parabola whose directrix passes through O and is parallel to the axis of the system , and whose focus S " is such that OS is bisected by S. 681. A point O on 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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