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
... length . 17. A triangle circumscribes a circle and from each point of contact is drawn a perpendicular to the straight line joining the other two : prove that the straight lines joining the feet of these perpendiculars will be parallel ...
... length . 17. A triangle circumscribes a circle and from each point of contact is drawn a perpendicular to the straight line joining the other two : prove that the straight lines joining the feet of these perpendiculars will be parallel ...
Página 2
... length is intercepted between two straight lines OP , OQ given in position ; through P , Q are drawn straight lines in given directions intersecting in a point R , and the angles POQ , PRQ are equal and on the same side of PQ ( or ...
... length is intercepted between two straight lines OP , OQ given in position ; through P , Q are drawn straight lines in given directions intersecting in a point R , and the angles POQ , PRQ are equal and on the same side of PQ ( or ...
Página 3
... length of the side BC : prove that ( 1 ) A lies on a fixed straight line ; ( 2 ) AB , AC are fixed in direction ; ( 3 ) the circle ABC is given in magnitude ; and ( 4 ) the centre of the circle ABC lies on a fixed equal circle . 47. Any ...
... length of the side BC : prove that ( 1 ) A lies on a fixed straight line ; ( 2 ) AB , AC are fixed in direction ; ( 3 ) the circle ABC is given in magnitude ; and ( 4 ) the centre of the circle ABC lies on a fixed equal circle . 47. Any ...
Página 35
... length of the side opposite to the given angle , the area of the triangle will vary as 8 - c . 227. The radix of the scale in which 49 denotes a square number must be of the form ( r + 1 ) ( r + 4 ) , where r is some whole number . 228 ...
... length of the side opposite to the given angle , the area of the triangle will vary as 8 - c . 227. The radix of the scale in which 49 denotes a square number must be of the form ( r + 1 ) ( r + 4 ) , where r is some whole number . 228 ...
Página 66
... length a : prove that the probability of their distance exceeding a a- given length c ( < a ) is ( “ ~ - ~ ¤ ) * . a 383. Three points are taken at random on the circumference of a circle : the probability of their lying on the same ...
... length a : prove that the probability of their distance exceeding a a- given length c ( < a ) is ( “ ~ - ~ ¤ ) * . a 383. Three points are taken at random on the circumference of a circle : the probability of their lying on the same ...
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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