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 59
Página 116
... directrix . 652. Two parabolas whose foci are S , S ' have three common tangents , and the circle circumscribing the triangle formed by these tangents is drawn : prove that SS ' will subtend at any point on this circle an angle equal to ...
... directrix . 652. Two parabolas whose foci are S , S ' have three common tangents , and the circle circumscribing the triangle formed by these tangents is drawn : prove that SS ' will subtend at any point on this circle an angle equal to ...
Página 117
... directrix of either passes through the point of contact of their common tangent with the other . 660. Through any point P on a parabola is drawn PK at right angles to AP to meet the axis in K : prove that AK is equal to the focal chord ...
... directrix of either passes through the point of contact of their common tangent with the other . 660. Through any point P on a parabola is drawn PK at right angles to AP to meet the axis in K : prove that AK is equal to the focal chord ...
Página 118
... directrix passing through A ' and S is its focus : prove that the tangents to the circle at B , C will intersect on SA ' . 669. The normals at two points P , Q meet the axis in p , q and the chord PQ meets it in 0 : prove that straight ...
... directrix passing through A ' and S is its focus : prove that the tangents to the circle at B , C will intersect on SA ' . 669. The normals at two points P , Q meet the axis in p , q and the chord PQ meets it in 0 : prove that straight ...
Página 119
... directrix passes through O and is parallel to the axis of the system , and whose focus S " is such that OS is bisected by S. 681. A point O on the directrix is joined to the focus S and SO bisected in F ; with focus F is described ...
... directrix passes through O and is parallel to the axis of the system , and whose focus S " is such that OS is bisected by S. 681. A point O on the directrix is joined to the focus S and SO bisected in F ; with focus F is described ...
Página 120
... directrix , of a given parabola : prove that the two curves will touch each other . 695. Circles are described having for diameters a series of parallel chords of a parabola : prove that they will all touch another parabola related to ...
... directrix , of a given parabola : prove that the two curves will touch each other . 695. Circles are described having for diameters a series of parallel chords of a parabola : prove that they will all touch another parabola related to ...
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.