Solutions of the Cambridge Senate-house Problems and Riders for the Year 1875Sir George Greenhill Macmillan and Company, 1876 - 236 páginas |
Dentro del libro
Resultados 1-5 de 24
Página 2
Sir George Greenhill. 2. The angles in the same segment of a circle are equal to one another . If the diagonals AC , BD of the quadrilateral ABCD , inscribed in a circle the centre of which is at 0 , intersect at right angles in a fixed ...
Sir George Greenhill. 2. The angles in the same segment of a circle are equal to one another . If the diagonals AC , BD of the quadrilateral ABCD , inscribed in a circle the centre of which is at 0 , intersect at right angles in a fixed ...
Página 3
... angle ORC is a right angle , and there- fore the segments intersect on a circle described on OC as diameter . iv . Describe an isosceles triangle having each of the angles at the base double of the third angle . Prove that the circle ...
... angle ORC is a right angle , and there- fore the segments intersect on a circle described on OC as diameter . iv . Describe an isosceles triangle having each of the angles at the base double of the third angle . Prove that the circle ...
Página 4
... right - angled triangle of which A is the right angle and D the middle point of BC , prove that PD is at right angles to the plane of ABC . Prove also that the angle between the planes PAC , PBC and the angle between the planes PAB ...
... right - angled triangle of which A is the right angle and D the middle point of BC , prove that PD is at right angles to the plane of ABC . Prove also that the angle between the planes PAC , PBC and the angle between the planes PAB ...
Página 5
... right angles by the auxiliary circle of the ellipse . Let the circle cut the circumscribing circle in P , then CT.CN = CA2 = CP " ; therefore CP is a tangent to the circle , and therefore it cuts the auxiliary circle at right angles ...
... right angles by the auxiliary circle of the ellipse . Let the circle cut the circumscribing circle in P , then CT.CN = CA2 = CP " ; therefore CP is a tangent to the circle , and therefore it cuts the auxiliary circle at right angles ...
Página 6
... right angles on CH in B and B ' , such that SB = SB ' = given transverse axis . Then if H be taken between B and B ... angles at either focus . If PP ' be a chord of a conic parallel to the transverse axis and the two circles be drawn ...
... right angles on CH in B and B ' , such that SB = SB ' = given transverse axis . Then if H be taken between B and B ... angles at either focus . If PP ' be a chord of a conic parallel to the transverse axis and the two circles be drawn ...
Otras ediciones - Ver todas
Solutions of the Cambridge Senate-House Problems and Riders for the Year 1875 George Greenhill Sin vista previa disponible - 2016 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 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.
Página 50 - JOHNSON'S LIVES OF THE POETS. The Six Chief Lives (Milton, Dryden, Swift, A'ddison, Pope, Gray), with Macaulay's "Life of Johnson.
Página 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...
Página 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.
Página 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.
Página 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.
Página 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.
Página 56 - TURING—Works by EDWARD THRING, MA, Head Master of Uppingham. THE ELEMENTS OF GRAMMAR TAUGHT IN ENGLISH.