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 3
... similar segments from the two circles . 43. Two circles have internal contact at A , a straight line touches one circle at P and cuts the other in Q , Q ' : prove that QP , PQ ' subtend equal angles at A. If the contact be external , PA ...
... similar segments from the two circles . 43. Two circles have internal contact at A , a straight line touches one circle at P and cuts the other in Q , Q ' : prove that QP , PQ ' subtend equal angles at A. If the contact be external , PA ...
Página 4
... similar property holds for the escribed circles . 54. Given the base and the vertical angle of a triangle : prove that the centres of the four circles which touch the sides of the triangle will lie on two fixed circles passing through ...
... similar property holds for the escribed circles . 54. Given the base and the vertical angle of a triangle : prove that the centres of the four circles which touch the sides of the triangle will lie on two fixed circles passing through ...
Página 6
... similar property holds for the escribed circles . 54. Given the base and the vertical angle of a triangle : prove that the centres of the four circles which touch the sides of the triangle will lie on two fixed circles passing through ...
... similar property holds for the escribed circles . 54. Given the base and the vertical angle of a triangle : prove that the centres of the four circles which touch the sides of the triangle will lie on two fixed circles passing through ...
Página 13
... ( b - a ) + c2 - + two similar terms , ( c + a ) ( c + b ) ( c - a ) ( c - b ) ' ( 7 ) a3 ( a + b ) ( a + c ) + ¿ 3 ( b + c ) ( b + a ) ( c + a ) ( c + b ) + ca ( a - b ) ( a - c ) ( bc ) ( ba ) ( c - a ) ( c - b ) ' ( 8 ) a1 ( a + b ) ( ...
... ( b - a ) + c2 - + two similar terms , ( c + a ) ( c + b ) ( c - a ) ( c - b ) ' ( 7 ) a3 ( a + b ) ( a + c ) + ¿ 3 ( b + c ) ( b + a ) ( c + a ) ( c + b ) + ca ( a - b ) ( a - c ) ( bc ) ( ba ) ( c - a ) ( c - b ) ' ( 8 ) a1 ( a + b ) ( ...
Página 23
... similar terms = -abc ( b − c ) ( c - a ) ( a − b ) , ( 6 ) ( b − c ) ( 1 + a3b ) ( 1 + a3c ) + the two similar terms = − abc ( a + b + c ) ( b − c ) ( c − a ) ( a − b ) , - ( 7 ) ( b3 — c2 ) ( 1 − a3b ) ( 1 − a3c ) + the two ...
... similar terms = -abc ( b − c ) ( c - a ) ( a − b ) , ( 6 ) ( b − c ) ( 1 + a3b ) ( 1 + a3c ) + the two similar terms = − abc ( a + b + c ) ( b − c ) ( c − a ) ( a − b ) , - ( 7 ) ( b3 — c2 ) ( 1 − a3b ) ( 1 − a3c ) + the two ...
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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