Solutions of the Cambridge Senate-house Problems and Riders for the Year 1875Sir George Greenhill |
From inside the book
Results 1-5 of 23
Page 2
... described with centre Q passing through a , a ' ; b , b ' ; c , c ' ; d , d ' . Also 2 ( rad . ) + 20Q2 = Oa " + a ... described circles touching the fixed circle at P and Q. Prove that the two circles so described will inter- sect on ...
... described with centre Q passing through a , a ' ; b , b ' ; c , c ' ; d , d ' . Also 2 ( rad . ) + 20Q2 = Oa " + a ... described circles touching the fixed circle at P and Q. Prove that the two circles so described will inter- sect on ...
Page 3
... 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 drawn through the middle points of the sides of this triangle will intercept ...
... 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 drawn through the middle points of the sides of this triangle will intercept ...
Page 7
... described about TPSP ' ( fig . 11 ) and therefore TPP ' = LFSP ; therefore the circle described on SP touching PT at P passes through F. Similarly the circle described on SP ' touching P'T at P ' passes through F. Also if FM , FN be ...
... described about TPSP ' ( fig . 11 ) and therefore TPP ' = LFSP ; therefore the circle described on SP touching PT at P passes through F. Similarly the circle described on SP ' touching P'T at P ' passes through F. Also if FM , FN be ...
Page 20
... described from rest are proportional to the squares of the times of describing them . A train moving at the rate of sixty miles an hour is brought to rest in five minutes by uniform retardation . Find the space traversed by the train ...
... described from rest are proportional to the squares of the times of describing them . A train moving at the rate of sixty miles an hour is brought to rest in five minutes by uniform retardation . Find the space traversed by the train ...
Page 35
... described three equilateral triangles aBC , bCA , and cAB , all upon the same side of their bases as the triangle ... described round aBC in P , then aPC = 120 ° and △ aPB = 60 ° ; there- fore BRC = 60 ° . = Since APC 120 ° , therefore ...
... described three equilateral triangles aBC , bCA , and cAB , all upon the same side of their bases as the triangle ... described round aBC in P , then aPC = 120 ° and △ aPB = 60 ° ; there- fore BRC = 60 ° . = Since APC 120 ° , therefore ...
Other editions - View all
Solutions of the Cambridge Senate-House Problems and Riders for the Year 1875 George Greenhill No preview available - 2016 |
Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 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.
Page 50 - JOHNSON'S LIVES OF THE POETS. The Six Chief Lives (Milton, Dryden, Swift, A'ddison, Pope, Gray), with Macaulay's "Life of Johnson.
Page 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...
Page 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.
Page 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.
Page 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.
Page 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.
Page 56 - TURING—Works by EDWARD THRING, MA, Head Master of Uppingham. THE ELEMENTS OF GRAMMAR TAUGHT IN ENGLISH.