Solutions of the Cambridge Senate-house Problems and Riders for the Year 1875Sir George Greenhill Macmillan and Company, 1876 - 236 sider |
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Side 4
... lines OD , OE in B and C respectively , and on it a point P be taken such that AC.AP = AB2 ; prove that the locus of P is a parabola which passes through A and O and has its axis parallel to OD 4 [ Jan. 4 , SENATE - HOUSE PROBLEMS.
... lines OD , OE in B and C respectively , and on it a point P be taken such that AC.AP = AB2 ; prove that the locus of P is a parabola which passes through A and O and has its axis parallel to OD 4 [ Jan. 4 , SENATE - HOUSE PROBLEMS.
Side 5
... axis major in T and N respectively , then CT.CN = CA " . If any circle be drawn through N and T , prove that it is cut at right angles by the auxiliary circle of the ellipse . Let the circle cut the circumscribing circle in P , then CT ...
... axis major in T and N respectively , then CT.CN = CA " . If any circle be drawn through N and T , prove that it is cut at right angles by the auxiliary circle of the ellipse . Let the circle cut the circumscribing circle in P , then CT ...
Side 6
... axis and that the second focus lies on a fixed straight line , prove that the conic will touch two fixed parabolas having the given focus for focus . If S ( figs . 9 and 10 ) be the given point , CH the given straight line , draw DK , D ...
... axis and that the second focus lies on a fixed straight line , prove that the conic will touch two fixed parabolas having the given focus for focus . If S ( figs . 9 and 10 ) be the given point , CH the given straight line , draw DK , D ...
Side 7
... axes to meet them in M , N respectively , CT.CN = CB ; therefore FM : CB :: CN : CT :: SM : SC ; therefore the locus of F is a parabola with its vertex at S and passing through the ends of the conjugate axis . 12. If a right circular ...
... axes to meet them in M , N respectively , CT.CN = CB ; therefore FM : CB :: CN : CT :: SM : SC ; therefore the locus of F is a parabola with its vertex at S and passing through the ends of the conjugate axis . 12. If a right circular ...
Side 23
... axis of the cycloid being vertical and its vertex downwards . Hence or from the rider to xi . determine the time of a small oscillation of a simple pendulum . Pendulums which beat seconds correctly in London ( 9 = 32.19 ) and Edinburgh ...
... axis of the cycloid being vertical and its vertex downwards . Hence or from the rider to xi . determine the time of a small oscillation of a simple pendulum . Pendulums which beat seconds correctly in London ( 9 = 32.19 ) and Edinburgh ...
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Solutions of the Cambridge Senate-House Problems and Riders for the Year 1875 George Greenhill Ingen forhåndsvisning tilgjengelig - 2016 |
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apse line Arabic numbers axes axis Cambridge centre of inertia circle coefficient conic section coordinates cos² cose cosec Crown 8vo curvature curve density diameter differential equation distance dx dy dz dx² Edition electricity ELEMENTARY TREATISE ellipse ellipsoid equal equations of motion equilibrium Extra fcap Fellow of St fixed fluid force given GREEK harmonic Hence hyperbola hypocycloid integral intersect J. P. MAHAFFY John's College late Fellow LATIN length lines of curvature liquid lunar precession magnets middle points normal numerous Illustrations orbit Owens College parabola parallel particle perpendicular plane polar pressure prism Professor prove radius ratio refracting right angles Roman numbers School shew sin sin sin sin² sphere straight line surface tangent triangle ABC Trinity College velocity vertical
Populære avsnitt
Side 3 - CICERO— THE SECOND PHILIPPIC ORATION. From the German of Karl Halm. Edited, with Corrections and Additions, by JOHN EB MAYOR, Professor of Latin in the University of Cambridge, and Fellow of St.
Side 23 - ARITHMETIC. (Dedicated to Lord Sandon.) With Answers and Hints. Standards I. and II. in box, is. Standards III., IV. and V., in boxes, is. each. Standard VI. in Two Parts, in boxes, is.
Side 22 - FRS, late Fellow and Assistant Tutor of St. Peter's College, Cambridge ; Examiner in the University of London. AN ELEMENTARY TREA T1SE ON THE DYNAMICS Of THE SYSTEM OF RIGID BODIES.
Side 50 - JOHNSON'S LIVES OF THE POETS. The Six Chief Lives (Milton, Dryden, Swift, A'ddison, Pope, Gray), with Macaulay's "Life of Johnson.
Side 54 - VI. Crown 8vo. (430 pp.) 2s. Book VI. is fitted for higher Classes, and as an Introduction to English Literature. "They are far above any others that have appeared both in form and substance. . . . The editor of the present series has rightly seen that reading books must ' aim chiefly at giving to the pupils the power pi accurate, and, if possible, apt and skilful expression ; at cultivating in them a good literary taste, and at arousing a desire of further reading, This is done by taking care to...
Side 31 - The young engineer and those seeking for a comprehensive knowledge of the use, power, and economy of steam, could not have a more useful work, as it is very intelligible, well arranged, and practical throughout."— IRONMONGER.
Side 10 - GOODWIN— Works by WW GOODWIN, Professor of Greek in Harvard University, USA SYNTAX OF THE MOODS AND TENSES OF THE GREEK VERB. New Edition, revised. Crown 8vo. 6s. 6d. A GREEK GRAMMAR. New Edition, revised. Crown 8vo. 6s. "It is the best Greek Grammar of its si1e in the English language."— Athenteum.
Side 12 - MAYOR (JOSEPH B.)— GREEK FOR BEGINNERS. By the Rev. JB MAYOR, MA, Professor of Classical Literature in King's College, London. Part I., with Vocabulary, is.
Side 40 - It stands alone as the one general history of the country, for the sake of which all others, if young and old are wise, will be speedily and surely set aside.
Side 56 - TURING—Works by EDWARD THRING, MA, Head Master of Uppingham. THE ELEMENTS OF GRAMMAR TAUGHT IN ENGLISH.