Mathematical Problems on the First and Second Divisions of the Schedule of Subjects for the Cambridge Mathematical Tripos ExaminationMacmillan and Company, 1878 - 480 páginas |
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Página xi
... drawn a straight line parallel to the base and terminated by the sides which do not intersect : prove that the segments of this straight line are equal . 3. The sides AB , AC of a triangle are bisected in D , E , and CD , BE intersect ...
... drawn a straight line parallel to the base and terminated by the sides which do not intersect : prove that the segments of this straight line are equal . 3. The sides AB , AC of a triangle are bisected in D , E , and CD , BE intersect ...
Página xii
... drawn having internal contact with one of them at B and cutting the other in two points : prove that the straight line AB will pass through one of the points of section . 13. Two straight lines inclined at a given angle are drawn ...
... drawn having internal contact with one of them at B and cutting the other in two points : prove that the straight line AB will pass through one of the points of section . 13. Two straight lines inclined at a given angle are drawn ...
Página 1
... drawn DF , DG to touch the former circle : prove that G , E , F lie on one straight line . 25. If the opposite sides of a quadrangle inscribed in a circle be produced to meet in P , Q , and if about two of the triangles so formed ...
... drawn DF , DG to touch the former circle : prove that G , E , F lie on one straight line . 25. If the opposite sides of a quadrangle inscribed in a circle be produced to meet in P , Q , and if about two of the triangles so formed ...
Página 2
... drawn terminated by the circles ; with B , C as centre are described two circles each cutting at right angles one of the former circles : prove that these two circles and the circle of which BC is a diameter will have a common chord ...
... drawn terminated by the circles ; with B , C as centre are described two circles each cutting at right angles one of the former circles : prove that these two circles and the circle of which BC is a diameter will have a common chord ...
Página 3
... drawn through one corner A of a parallelo- gram to meet the diagonal and the two sides which do not pass through A in P , Q , R : prove that AP will be a mean proportional between PQ , PR . 46. In a triangle ABC are given the centres of ...
... drawn through one corner A of a parallelo- gram to meet the diagonal and the two sides which do not pass through A in P , Q , R : prove that AP will be a mean proportional between PQ , PR . 46. In a triangle ABC are given the centres of ...
Otras ediciones - Ver todas
Mathematical Problems on the First and Second Divisions of the Schedule of ... Joseph Wolstenholme Sin vista previa disponible - 2012 |
Mathematical Problems: On the First and Second Divisions of the Schedule of ... Joseph Wolstenholme Sin vista previa disponible - 2017 |
Términos y frases comunes
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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