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 xii
... lie on one of two fixed circles concentric with the given circles . 14. A chord CD is drawn at right angles to a fixed diameter AB of a given circle ... lies on a fixed circle . 4 22. A circle A passes through the centre of a 2 GEOMETRY .
... lie on one of two fixed circles concentric with the given circles . 14. A chord CD is drawn at right angles to a fixed diameter AB of a given circle ... lies on a fixed circle . 4 22. A circle A passes through the centre of a 2 GEOMETRY .
Página 1
... lies on another circle which cuts the former in B , C ; AD is a chord of the latter circle meeting BC in E and from D are drawn DF , DG to touch the former circle : prove that G , E , F lie on one straight line . 25. If the opposite ...
... lies on another circle which cuts the former in B , C ; AD is a chord of the latter circle meeting BC in E and from D are drawn DF , DG to touch the former circle : prove that G , E , F lie on one straight line . 25. If the opposite ...
Página 2
... lies on a fixed circle . 37. From the point of intersection of the diagonals of a quadrangle inscribed in a circle perpendiculars are let fall on the sides : prove that the sum of two opposite angles formed by the straight lines joining ...
... lies on a fixed circle . 37. From the point of intersection of the diagonals of a quadrangle inscribed in a circle perpendiculars are let fall on the sides : prove that the sum of two opposite angles formed by the straight lines joining ...
Página 3
... lies on a fixed equal circle . 47. Any three points are taken on a given circle and from the middle point of the arc ... lie on a fixed circle . 49. ABC is an isosceles triangle right angled at C and the parallelo- gram ABCD is completed ...
... lies on a fixed equal circle . 47. Any three points are taken on a given circle and from the middle point of the arc ... lie on a fixed circle . 49. ABC is an isosceles triangle right angled at C and the parallelo- gram ABCD is completed ...
Página 8
... lies in a plane perpendicular to BC ; 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 ...
... lies in a plane perpendicular to BC ; 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 ...
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
2hxy angular points angular velocity asymptotes ax² axes bisected by² cardioid centre of perpendiculars chord circumscribed circle co-ordinates common point common tangents cone confocal conicoid conjugate diameters constant cos² cos³ curve described diagonals directrix envelope equal excentric angles fixed point fixed straight line fixed tangents foci focus four points given circle given conic given ellipse given point given straight line harmonic inscribed latus rectum length locus major axis meet minor axis normal parabola parallel particle passes plane points of contact points of intersection polar pole prove radical axis radius of curvature ratio rectangle rectangular hyperbola respectively right angles self-conjugate sin² sin³ straight line joining subtends a right tangents drawn tetrahedron triangle ABC velocity vertex vertical
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