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
... Parabola 713-843 . II . 844-882 . III . Central Conics Rectangular Hyperbola CONIC SECTIONS , ANALYTICAL . 883-913 . 914-975 . 976-1088 . 1089-1121 . Cartesian Co - ordinates . I. Straight Line , Linear Transformation , Circle · II .
... Parabola 713-843 . II . 844-882 . III . Central Conics Rectangular Hyperbola CONIC SECTIONS , ANALYTICAL . 883-913 . 914-975 . 976-1088 . 1089-1121 . Cartesian Co - ordinates . I. Straight Line , Linear Transformation , Circle · II .
Side 115
... parabola is a normal at P and subtends a right angle at the vertex : prove that SQ is three times SP . 639. Two circles each touch a parabola and touch each other at the focus of the parabola : prove that the angle between the focal ...
... parabola is a normal at P and subtends a right angle at the vertex : prove that SQ is three times SP . 639. Two circles each touch a parabola and touch each other at the focus of the parabola : prove that the angle between the focal ...
Side 116
... parabola in two points , and that the common chord will cut the axis of the parabola in a fixed point at a distance from the focus equal to the latus rectum . 646. A parabola is described touching a given circle , and having its focus ...
... parabola in two points , and that the common chord will cut the axis of the parabola in a fixed point at a distance from the focus equal to the latus rectum . 646. A parabola is described touching a given circle , and having its focus ...
Side 117
... parabola . 655. From a fixed point 0 is let fall 0Q perpendicular on the diameter through a point P of a parabola : prove that the perpendicular from on the tangent at P will pass through a fixed point , which remains the same for all ...
... parabola . 655. From a fixed point 0 is let fall 0Q perpendicular on the diameter through a point P of a parabola : prove that the perpendicular from on the tangent at P will pass through a fixed point , which remains the same for all ...
Side 118
... parabola , OP , OQ are tangents to the circle TPQ : prove that TO will pass through the focus . 668. A triangle ABC is inscribed in a circle , Al ' is a diameter , a parabola is described touching the sides of the triangle with its ...
... parabola , OP , OQ are tangents to the circle TPQ : prove that TO will pass through the focus . 668. A triangle ABC is inscribed in a circle , Al ' is a diameter , a parabola is described touching the sides of the triangle with its ...
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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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