Solutions of the problems and riders proposed in the Senate-house examination for 1854, by the moderators and examiners |
From inside the book
Results 1-5 of 87
Page 4
... hence 3 * has 1 for its last digit . Hence 3 " x 3 " has 9 for its last digit , and therefore 1 + 3 ′′ × 3a is divisible by 10 . Suppose 3 + 1 divisible by 10 : then 3+ has 9 for its last digit : therefore 3 " must have 9 for its last ...
... hence 3 * has 1 for its last digit . Hence 3 " x 3 " has 9 for its last digit , and therefore 1 + 3 ′′ × 3a is divisible by 10 . Suppose 3 + 1 divisible by 10 : then 3+ has 9 for its last digit : therefore 3 " must have 9 for its last ...
Page 6
... Hence ( area of QCQ ' ) 2 = and therefore area of QCQ ' = AC2 . BC2 . CV . TV ( CV + TV ) CV AC.BC ( IV ) + TV or area of QCQ ' varies inversely as ( CD ) * TV + TV ( CV ) ( TV ) + 9. A piece of uniform wire is bent into three 6 [ Jan ...
... Hence ( area of QCQ ' ) 2 = and therefore area of QCQ ' = AC2 . BC2 . CV . TV ( CV + TV ) CV AC.BC ( IV ) + TV or area of QCQ ' varies inversely as ( CD ) * TV + TV ( CV ) ( TV ) + 9. A piece of uniform wire is bent into three 6 [ Jan ...
Page 7
... hence that of H is a circle , G being a similar point in the two circles , and GR , GH , similar lines . Hence , if HP ' , HQ 1—4 . ] 7 PROBLEMS .
... hence that of H is a circle , G being a similar point in the two circles , and GR , GH , similar lines . Hence , if HP ' , HQ 1—4 . ] 7 PROBLEMS .
Page 8
Cambridge univ, exam. papers. similar lines . Hence , if HP ' , HQ ' , be drawn parallel to RP , RQ , P ' and Q ' will be points in the locus of H. Also PQ : PQ :: GH : GR , and therefore , GH : GR being constant , and PQ being constant ...
Cambridge univ, exam. papers. similar lines . Hence , if HP ' , HQ ' , be drawn parallel to RP , RQ , P ' and Q ' will be points in the locus of H. Also PQ : PQ :: GH : GR , and therefore , GH : GR being constant , and PQ being constant ...
Page 11
... angular velocities of the body about S at P , P ' , D , D ' , respectively , 1 1 + ( aa ) * π ( BB ' ) + We know that But SP . SP ' α = h SP2 1 = a constant quantity . = CD " . = h Spr SP hence h ( αa ' ) = CD2 . h 1-4 . ] 9 PROBLEMS .
... angular velocities of the body about S at P , P ' , D , D ' , respectively , 1 1 + ( aa ) * π ( BB ' ) + We know that But SP . SP ' α = h SP2 1 = a constant quantity . = CD " . = h Spr SP hence h ( αa ' ) = CD2 . h 1-4 . ] 9 PROBLEMS .
Other editions - View all
Solutions of the Problems and Riders Proposed in the Senate-House ... Exam Papers Cambridge Univ No preview available - 2016 |
Common terms and phrases
angular velocity asymptote axes Cambridge catenary centre of force centre of gravity chord circle cloth conic section constant cos² cose cosẞ cota cotß Crown 8vo curvature curve cylinder denoting described diameter direction distance dx dy dy dx ecliptic elastic ellipse equal equation equilibrium Fellow of St fixed point fluid geometrical progression given Hence horizontal hyperbola inclined plane intersection lamina latus rectum length locus longitude M.A. Fellow major axis middle point motion orbit parabola parallel particle passing perpendicular position pressure projection prove radius refraction right angles ring shew sides Similarly sine sino sinẞ straight line string Supposing surface tana tangent tanß triangle Trinity College tube V₁ vertical
Popular passages
Page 221 - Prize Essay for 1877. 8vo. 8.r. 6V. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.
Page 213 - HEMMING— AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use of Colleges and Schools. By GW HEMMING, MA, Fellow of St. John's College, Cambridge. Second Edition, with Corrections and Additions. 8vo.
Page 214 - For really ripe scholarship. extensive acquaintance with Latin literature, and familiar knowledge of continental criticism, ancient and modern, it is unsurpassed among English editions.
Page 220 - Geometry. With a numerous collection of Easy Examples progressively arranged, especially designed for the use of Schools and Beginners. By G. HALE PUCKLE, MA, St. John's College, Cambridge, Mathematical Master in the Royal Institution School, Liverpool.
Page 209 - The Evidences of Christianity as Exhibited in the Writings of its Apologists down to Augustine. An Essay which obtained the Hulsean Prize for the Year 1852. By WJ BOLTON, of Gonville and Caius College, Cambridge. 8vo. cloth, 6s.
Page 167 - AB into two parts, so that the rectangle contained by the whole line and one of the parts, shall be equal to the square on the other part.
Page 221 - Arithmetic and Algebra, in their Principles and Application: with numerous systematically arranged Examples, taken from the Cambridge Examination Papers. With especial reference to the ordinary Examination for BA Degree. By BARNARD SMITH, MA, Fellow of St.
Page 222 - Psalms and Hymns for Public Worship. Selected and Edited by the Rev. JF THRUPP, MA 18ms.
Page 209 - ANTHOLOGIA Latina Selecta. In 2 vols. Small 8vo. VOL. I.— Containing select Epigrams of Catullus, Virgil, Claudian, Ausonius, with others from the Anthologia Latina.
Page 167 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.