A History of the Study of Mathematics at Cambridge |
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acts algebra analytical analytical geometry arithmetic astronomy bachelor born bracket cadit quæstio Caius calculus Cambridge candidates chapter classes Concedo antecedentiam conic sections consequentia et argumentum curve degree died differential calculus disputations earliest edition eighteenth century equation Ergo valent Euclid exercises fluxions geometry given Gresham College issued John Colson Latin latter lectures Leibnitz London Lucasian chair manuscript master mathe mathematicians mathematics matics medieval method method of fluxions moderator Mullinger names Newton Newtonian notation opponent optics optime Oxford papers parabola Peacock Peterhouse philosophy Principia problems probo consequentiam proctors professor proposition published pupils quadrivium questionist questions regent residence scholars schools second wrangler senate-house examination senior wrangler shew Society St John's St John's College statutes subjects subsequently text-books theory tion took his B.A. treatise trigonometry Trinity College trivium tutor undergraduate university of Cambridge valent consequentia velocity Wallis Whewell Whiston wrote
Popular passages
Page 61 - Newton generalizes the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them ; and he thence deduces the law of attraction for spherical shells of constant density.
Page 198 - Senate-House, preceded by a Master of Arts, who on this occasion is styled the Father of the college to which he belongs.
Page 212 - Syndicate highly desirable * : namely, that the candidates for Honours may not be induced to pursue the more abstruse and profound Mathematics, to the neglect of more elementary knowledge.
Page 121 - I shall feel that men have been prepared for the change, and will then be enabled to have acquired a better system by the publication of improved elementary books. I have considerable influence as a lecturer, and I will not neglect it. It is by silent perseverance only, that we can hope to reduce the many-headed monster of prejudice and make the University answer her character as the loving mother of good learning and science.
Page 172 - I knew very little and was therefore at a nonplus, and should in one minute have been exposed, had not at that instant the esquire bedell entered the schools and demanded the book which the moderator carries with him, and is the badge of his office. A convocation was that afternoon held in the senate-house, and on some demur that happened, it was found requisite to inspect this book, which was immediately delivered, and the moderator's authority stopped for that day, and we were all dismissed ; and...
Page 215 - ... account the whole eight days, brought out the list arranged in order of merit. No provision was made for any further examination corresponding to the examination of the Brackets, which, though forming part of the previous scheme, had been discontinued for some time. A very important part of the scheme was the limitation, by a schedule, of the subjects of examination in the first three days, and of the manner in which the questions were to be answered ; the methods of analytical geometry and differential...
Page 198 - ... struck eight. There are three chief tables, at which six examiners preside. At the first, the senior moderator of the present year and the junior moderator of the preceding year. At the second, the junior moderator of the present and the senior moderator of the preceding year. At the third, two moderators of the year previous to the two last, or two examiners appointed by the senate.
Page 204 - ... chord of curvature at the point of projection with the distance. 8. A body moves through a given chord of a great circle of the earth in a tube, acted on by a force which is at every point proportional to its distance from the earth's center; find the ratio of the whole time of describing the tube, to the periodic time of a body revolving in a circle at the earth's surface. 9. Given the base, tjie vertical angle, and the perpendicular, in a plane triangle, to construct it.
Page 82 - Friday noon we went to the master's lodge, where we were sworn in in great solemnity, the senior Westminster reading the oath in Latin, all of us kissing the Greek Testament. Then we kneeled down before the master, who took our hands in his and admitted us Scholars in the name of the Father, Son, &c. Then we went and wrote our names in the book and came away, and to-day gave in our epistle of thanks to the master. We took our places at the scholars
Page 60 - Princijria we may say that the idea that every particle attracts every other particle in the universe was formed at least as early as 1666 ; the law of equable description of areas, its consequences, and the fact that if the law of attraction were that of the inverse square the orbit of a particle about a centre of force would be a conic were proved in 1679 ; and lastly the discovery that a sphere, whose density at any point depends only on the distance from the centre, attracts an external point...