Solutions of the problems and riders proposed in the Senate-house examination for 1854, by the moderators and examiners |
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Side 4
... given , taken backwards , shews that , if 3 + 1 10 is integral , 3m + 4r + 1 10 also is integral . The following is a somewhat different solution of the same problem . Suppose 3 + 1 divisible by 10 ; then 3 " must have 9 for its last ...
... given , taken backwards , shews that , if 3 + 1 10 is integral , 3m + 4r + 1 10 also is integral . The following is a somewhat different solution of the same problem . Suppose 3 + 1 divisible by 10 ; then 3 " must have 9 for its last ...
Side 6
... given ellipse , the points of contact being Q , Q ' : CQ , CQ ' , QQ ' , CT , are joined ; V is the intersection of QQ , CT . Prove that the area of the rectilinear triangle QCQ ' varies inversely as ( OV ) TV + TV CV Draw CK at right ...
... given ellipse , the points of contact being Q , Q ' : CQ , CQ ' , QQ ' , CT , are joined ; V is the intersection of QQ , CT . Prove that the area of the rectilinear triangle QCQ ' varies inversely as ( OV ) TV + TV CV Draw CK at right ...
Side 7
... given magnitude moves along the cir- cumference of a circle , in which are fixed also two other weights : prove that the locus of the centre of gravity of the three weights is a circle . If the immoveable weights be varied in magnitude ...
... given magnitude moves along the cir- cumference of a circle , in which are fixed also two other weights : prove that the locus of the centre of gravity of the three weights is a circle . If the immoveable weights be varied in magnitude ...
Side 12
... given elliptic orbit to be the same at a certain point , whether it describe the orbit in a time t about one focus , or in a time t ' about the other , prove that , 2a being the major axis , the focal distances of the point are equal to ...
... given elliptic orbit to be the same at a certain point , whether it describe the orbit in a time t about one focus , or in a time t ' about the other , prove that , 2a being the major axis , the focal distances of the point are equal to ...
Side 14
... given horizontal lines in the plane of the hyperbola . Let BB'C'C ( fig . 10 ) be the included area . Draw PM , horizontally , equidistantly from BB ' , CC ' . Take any two strips PM , P'M ' , of equal breadths , and equidistant from PM ...
... given horizontal lines in the plane of the hyperbola . Let BB'C'C ( fig . 10 ) be the included area . Draw PM , horizontally , equidistantly from BB ' , CC ' . Take any two strips PM , P'M ' , of equal breadths , and equidistant from PM ...
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Solutions of the Problems and Riders Proposed in the Senate-House ... Exam Papers Cambridge Univ Ingen forhåndsvisning tilgjengelig - 2016 |
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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
Populære avsnitt
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 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.
Side 222 - Psalms and Hymns for Public Worship. Selected and Edited by the Rev. JF THRUPP, MA 18ms.
Side 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.
Side 167 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.