Solutions of the problems and riders proposed in the Senate-house examination for 1854, by the moderators and examiners |
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Side 1
... equal to DG . But BD and CE are together equal to DE . Therefore the difference between DG and DE is equal to the difference between CG and CE , which is EG : that is two sides of the triangle DEG are equal to the third , which is ...
... equal to DG . But BD and CE are together equal to DE . Therefore the difference between DG and DE is equal to the difference between CG and CE , which is EG : that is two sides of the triangle DEG are equal to the third , which is ...
Side 2
... equal to DB and EC together ; therefore BF is equal to EC ; and OB = OC and LOBF = OCE , therefore OF OE ; therefore , in the triangles DOF , DOE , DO , OF , DF are equal to DO , OE , DE respec- tively , therefore ¿ ODF = ODE ; again ...
... equal to DB and EC together ; therefore BF is equal to EC ; and OB = OC and LOBF = OCE , therefore OF OE ; therefore , in the triangles DOF , DOE , DO , OF , DF are equal to DO , OE , DE respec- tively , therefore ¿ ODF = ODE ; again ...
Side 6
... equal , the vertex of the triangle must lie in BC produced . Since the angles SIY ' , HJZ ' , are equal respectively to the angles SPY , HPZ , they can never be zero , and therefore SI , HJ , can never be perpendicular to the major axis ...
... equal , the vertex of the triangle must lie in BC produced . Since the angles SIY ' , HJZ ' , are equal respectively to the angles SPY , HPZ , they can never be zero , and therefore SI , HJ , can never be perpendicular to the major axis ...
Side 7
... equals two - thirds of BE . Draw HG parallel to BC , and join AG , BG . When the wire is hung up by A , AG will be vertical , and when hung up by B , BG will be vertical ; therefore the incli- nations of BC to the vertical will be equal ...
... equals two - thirds of BE . Draw HG parallel to BC , and join AG , BG . When the wire is hung up by A , AG will be vertical , and when hung up by B , BG will be vertical ; therefore the incli- nations of BC to the vertical will be equal ...
Side 9
... equal and perfectly elastic balls A , B , C move with equal velocities towards the same point , in directions equally inclined to each other ; suppose first , that they impinge upon each other at the same instant ; secondly , that B and ...
... equal and perfectly elastic balls A , B , C move with equal velocities towards the same point , in directions equally inclined to each other ; suppose first , that they impinge upon each other at the same instant ; secondly , that B and ...
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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.