Solutions of the Cambridge Senate-house Problems and Riders for the Year 1875Sir George Greenhill |
From inside the book
Results 1-5 of 17
Page 32
... principal plane through a prism denser than the surrounding medium , the deviation is towards the thicker part of the prism . Two triangular isosceles prisms are placed with two faces in contact and the refracting edges parallel , prove ...
... principal plane through a prism denser than the surrounding medium , the deviation is towards the thicker part of the prism . Two triangular isosceles prisms are placed with two faces in contact and the refracting edges parallel , prove ...
Page 87
... principal axes , and interpret the various terms . If a constant couple be applied about the axis of symmetry of a body supported at its centre of inertia , and initially rotating about an axis perpendicular to that of symmetry ...
... principal axes , and interpret the various terms . If a constant couple be applied about the axis of symmetry of a body supported at its centre of inertia , and initially rotating about an axis perpendicular to that of symmetry ...
Page 88
... principal radii of gyration at that point will be the centre of pressure of the area . Taking the principal axes at the centre of inertia as coordinate axes , if the equation to the momental ellipse be x2 y2 ffxdxdy Sfy dx dy + = b2 ...
... principal radii of gyration at that point will be the centre of pressure of the area . Taking the principal axes at the centre of inertia as coordinate axes , if the equation to the momental ellipse be x2 y2 ffxdxdy Sfy dx dy + = b2 ...
Page 105
... principal axis of the conic section , and the double tangent plane cuts the new surface in two conic sections , intersecting at the points of contact . = In the general case if a sina - z cos'a 0 be the equa- tion of the double tangent ...
... principal axis of the conic section , and the double tangent plane cuts the new surface in two conic sections , intersecting at the points of contact . = In the general case if a sina - z cos'a 0 be the equa- tion of the double tangent ...
Page 107
... principal curvature . If ( x'y ' ' ) be the coordinates of P , ( xyz ) of Q , ( aßy ) the direction cosines of the normal at P , p the length of the perpendicular on the tangent plane at P , COS & = px ' a " , cosß = Py ' Z cosy = = c2 ...
... principal curvature . If ( x'y ' ' ) be the coordinates of P , ( xyz ) of Q , ( aßy ) the direction cosines of the normal at P , p the length of the perpendicular on the tangent plane at P , COS & = px ' a " , cosß = Py ' Z cosy = = c2 ...
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.