Mathematical Problems on the First and Second Divisions of the Schedule of Subjects for the Cambridge Mathematical Tripos ExaminationMacmillan and Company, 1878 - 480 páginas |
Dentro del libro
Resultados 1-5 de 91
Página xi
... triangle are bisected in D , E , and CD , BE intersect in F : prove that the triangle BFC is equal in area to the ... ABC , and if through A , B , C be drawn three parallels to meet bc , ca , ab re- spectively in A ' , B ' , C ' , the sides ...
... triangle are bisected in D , E , and CD , BE intersect in F : prove that the triangle BFC is equal in area to the ... ABC , and if through A , B , C be drawn three parallels to meet bc , ca , ab re- spectively in A ' , B ' , C ' , the sides ...
Página 2
... triangle ABC such that the ratio of the square on AP to the rectangle under the segments BP , PC may be equal to a given ratio - Take O the centre of the circle ABC and divide AO in O ' so that the ratio of AO ' to O'O may be equal to ...
... triangle ABC such that the ratio of the square on AP to the rectangle under the segments BP , PC may be equal to a given ratio - Take O the centre of the circle ABC and divide AO in O ' so that the ratio of AO ' to O'O may be equal to ...
Página 3
... triangle ABC are given the centres of the escribed circles opposite B , C and the 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 ...
... triangle ABC are given the centres of the escribed circles opposite B , C and the 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 ...
Página 4
... triangle ABC ; D is the middle point of BC and AD is produced to meet the circle in E : prove that AE is bisected in D. 56. The straight lines joining the centres of the four circles which touch the sides of a triangle are bisected by ...
... triangle ABC ; D is the middle point of BC and AD is produced to meet the circle in E : prove that AE is bisected in D. 56. The straight lines joining the centres of the four circles which touch the sides of a triangle are bisected by ...
Página 5
... triangle to the middle points of the opposite sides : prove that the relation between the two triangles is ... ABC is inscribed in a circle and AA ' , BB ' , CC ' are chords of the circle bisecting the angles of the triangle ( or one ...
... triangle to the middle points of the opposite sides : prove that the relation between the two triangles is ... ABC is inscribed in a circle and AA ' , BB ' , CC ' are chords of the circle bisecting the angles of the triangle ( or one ...
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
Pasajes populares
Página 25 - ARISTOTLE— AN INTRODUCTION TO ARISTOTLE'S RHETORIC. With Analysis, Notes and Appendices. By EM COPE, Fellow and Tutor of Trinity College, Cambridge, 8vo.
Página 2 - FR-S., late Fellow and Assistant Tutor of St. Peter's College, Cambridge ; Examiner in the University of London.
Página 12 - SOUND : a Series of Simple, Entertaining, and Inexpensive Experiments in the Phenomena of Sound, for the Use of Students of every age.
Página 2 - Morgan. — A COLLECTION OF PROBLEMS AND EXAMPLES IN MATHEMATICS. With Answers. By HA MORGAN, MA , Sadlerian and Mathematical Lecturer of Jesus College, Cambridge.
Página 480 - CLIFFORD- THE ELEMENTS OF DYNAMIC. An Introduction to the Study of Motion and Rest in Solid and Fluid Bodies.
Página 21 - LOGIC. ELEMENTARY LESSONS IN LOGIC; Deductive and Inductive, with copious Questions and Examples, and a Vocabulary of Logical Terms. By W. STANLEY JEVONS, MA, Professor of Political Economy in University College, London. New Edition. Fcap. 8vo. 3*. 6d. " Nothing can be better for a school-book. "-^-GUARDIAN. "A manual alike simple, interesting, and scientific."— ATHHN/UJH.
Página 13 - Moseley. — NOTES BY A NATURALIST ON THE "CHALLENGER," being an account of various observations made during the voyage of HMS " Challenger" round the world in the years 1872—76.
Página 480 - Works by the Rev. NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge. AN ELEMENTARY TREATISE ON TRILINEAR ' CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projectors.
Página 11 - THEOLOGICAL and SCIENTIFIC CATALOGUES. HOLIDAYS ON HIGH LANDS ; or, Rambles and Incidents in search of Alpine Plants. Second Edition, revised and enlarged.
Página 1 - JACKSON — GEOMETRICAL CONIC SECTIONS. An Elementary Treatise in which the Conic Sections are defined as the Plane Sections of a Cone, and treated by the Method of Projection. By J. STUART JACKSON, MA, late Fellow of Gonville and Caius College, Cambridge.