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 1
... common tangents will touch A in points lying on a tangent to B ; and conversely . 23. On the same side of a straight ... point and PQ , PQ ' tangents at P terminated each by the other circle : prove that QQ ' will be a common tangent ...
... common tangents will touch A in points lying on a tangent to B ; and conversely . 23. On the same side of a straight ... point and PQ , PQ ' tangents at P terminated each by the other circle : prove that QQ ' will be a common tangent ...
Side 5
... point : prove that straight lines drawn through the correspond- ing angular points of the second parallel to the ... common tangent AB is drawn to two circles , CD is their common chord and tangents are drawn from A to any other circle ...
... point : prove that straight lines drawn through the correspond- ing angular points of the second parallel to the ... common tangent AB is drawn to two circles , CD is their common chord and tangents are drawn from A to any other circle ...
Side 7
... point : prove that straight lines drawn through the correspond- ing angular points of the second parallel to the ... common tangent AB is drawn to two circles , CD is their common chord and tangents are drawn from A to any other circle ...
... point : prove that straight lines drawn through the correspond- ing angular points of the second parallel to the ... common tangent AB is drawn to two circles , CD is their common chord and tangents are drawn from A to any other circle ...
Side 10
... point , which is also common to the four nine points ' circles of the triangles each having three of the points for its angular points . Given in position two sides of a triangle including an angle . equal to that of an equilateral ...
... point , which is also common to the four nine points ' circles of the triangles each having three of the points for its angular points . Given in position two sides of a triangle including an angle . equal to that of an equilateral ...
Side 11
... point P meets the polar of P with respect to the other in P ' : prove that the circle whose diameter is PP will pass through two fixed points . 111. A point has the same polar with respect to each of two circles : prove that any common ...
... point P meets the polar of P with respect to the other in P ' : prove that the circle whose diameter is PP will pass through two fixed points . 111. A point has the same polar with respect to each of two circles : prove that any common ...
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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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