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 xii
... pass through one of the points of section . 13. Two straight lines inclined at a given angle are drawn touching respectively two given concentric circles : their point of intersection will lie on ... passes through the centre of a GEOMETRY .
... pass through one of the points of section . 13. Two straight lines inclined at a given angle are drawn touching respectively two given concentric circles : their point of intersection will lie on ... passes through the centre of a GEOMETRY .
Side 1
Joseph Wolstenholme. 22. A circle A passes through the centre of a circle B : prove that their common tangents will ... pass through a fixed point . [ If D be this fixed point and O the centre , the rectangle under OC , OD will be half ...
Joseph Wolstenholme. 22. A circle A passes through the centre of a circle B : prove that their common tangents will ... pass through a fixed point . [ If D be this fixed point and O the centre , the rectangle under OC , OD will be half ...
Side 5
... pass through B. 69. Four straight lines in a plane form four finite triangles : prove that the centres of the four circumscribed circles lie on a circle which also passes through the common point of the four circumscribed circles . 70 ...
... pass through B. 69. Four straight lines in a plane form four finite triangles : prove that the centres of the four circumscribed circles lie on a circle which also passes through the common point of the four circumscribed circles . 70 ...
Side 7
... pass through B. 69. Four straight lines in a plane form four finite triangles : prove that the centres of the four circumscribed circles lie on a circle which also passes through the common point of the four circumscribed circles . 70 ...
... pass through B. 69. Four straight lines in a plane form four finite triangles : prove that the centres of the four circumscribed circles lie on a circle which also passes through the common point of the four circumscribed circles . 70 ...
Side 8
... and that the middle points of these six edges lie on one sphere which also passes through the feet of the shortest listances between the opposite edges . 87. In a certain tetrahedron each edge is perpendicular to 8 GEOMETRY .
... and that the middle points of these six edges lie on one sphere which also passes through the feet of the shortest listances between the opposite edges . 87. In a certain tetrahedron each edge is perpendicular to 8 GEOMETRY .
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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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