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
... perpendicular to the straight line joining the other two : prove that the straight lines joining the feet of these perpendiculars will be parallel to the sides of the original triangle . 18. From a fixed point 0 of a given circle are ...
... perpendicular to the straight line joining the other two : prove that the straight lines joining the feet of these perpendiculars will be parallel to the sides of the original triangle . 18. From a fixed point 0 of a given circle are ...
Página 1
... perpendiculars are let fall on the straight lines joining A , B to any point of the circle : prove that the straight line joining the feet of these perpendiculars will pass through a fixed point . [ If D be this fixed point and O the ...
... perpendiculars are let fall on the straight lines joining A , B to any point of the circle : prove that the straight line joining the feet of these perpendiculars will pass through a fixed point . [ If D be this fixed point and O the ...
Página 2
... perpendicular from the opposite angular point on its diameter in two points : prove that these six points lie on a ... perpendiculars is double of one of the angles between the two diagonals . 38. If OP , OQ be tangents to a circle ...
... perpendicular from the opposite angular point on its diameter in two points : prove that these six points lie on a ... perpendiculars is double of one of the angles between the two diagonals . 38. If OP , OQ be tangents to a circle ...
Página 3
... perpendiculars from the centre is double the square on the radius . 48. At two fixed points A , B are drawn AC , BD at right angles to AB and on the same side of it and of such magnitude that the rectangle AC , BD is equal to the square ...
... perpendiculars from the centre is double the square on the radius . 48. At two fixed points A , B are drawn AC , BD at right angles to AB and on the same side of it and of such magnitude that the rectangle AC , BD is equal to the square ...
Página 4
... perpendicular to the straight lines joining the feet of the perpendiculars . 60. Three circles are described each passing through the centre of perpendiculars of a given triangle and through two of the angular points : prove that their ...
... perpendicular to the straight lines joining the feet of the perpendiculars . 60. Three circles are described each passing through the centre of perpendiculars of a given triangle and through two of the angular points : prove that their ...
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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