## A History of the Study of Mathematics at Cambridge |

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academica algebra analytical geometry arithmetic astronomy bachelor Bentley born bracket Briggs cadit Cambridge candidates chapter classes Concedo antecedentiam conic sections Cotes curve degree died differential calculus disputations earliest edition eighteenth century elected equation Ergo Euclid exercises fellowship fluent fluxions given Gresham College infinitesimal calculus issued known Latin latter lectures Leibnitz logarithms London Lucasian chair manuscript master mathe mathematicians mathematics matics mediaeval method method of fluxions moderators Mullinger Newton Newtonian notation opponent optics Oxford papers parabola Peacock Peterhouse Philosophical transactions philosophy Principia problems probo consequentiam proctors professor proposition Prove published pupils quadrature quadrivium questions residence schools second wrangler senate-house examination senior wrangler shew Society St John's St John's College statutes subjects subsequently text-books theorem theory tion took his B.A. treatise trigonometry Trinity College tripos trivium tutor undergraduate valent consequentia velocity Wallis Whewell Whiston wrote

### Popular passages

Page 61 - Newton generalized 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 deduced the law of attraction for spherical shells of constant density.

Page 42 - And amongst more than Two hundred Students (at that time) in our College, I do not know of any Two (perhaps not any) who had more of Mathematicks than I, (if so much) which was then but little; And but very few, in that whole University. For the Study of Mathematicks was at that time more cultivated in London than in the Universities.

Page 200 - Cambridge Problems ; being a Collection of the printed Questions proposed to the Candidates for the Degree of Bachelor of Arts, at the general Examinations, from the year 1801 to the year 1810 inclusive, with a Preface.

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 198 - 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, the two Moderators of the year previous to the two last, or two Examiners appointed by the Senate.

Page 191 - ... each other according to various laws ; the theory of pulses, propagated through elastic mediums; and the stupendous fabric of the world. Having closed the philosophical examination, he sometimes asks a few questions in Locke's Essay on the human understanding, Butler's Analogy, or Clarke's Attributes. But as the highest academical distinctions are invariably given to the best proficients in mathematics and natural philosophy, a very superficial knowledge in morality and metaphysics will suffice.

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 42 - Among more than two hundred Students in our College, I do not know of any two who had more than I, (if so much,) which was then but little ; and but very few in that whole University. For the study of Mathematics was then more cultivated in London than in the Universities.

Page 181 - They are held between undergraduates in pulpits on opposite sides of the room, in Latin and in a syllogistic form. As we are no longer here in the way either of talking Latin habitually or of reading logic, neither the one nor the other is very scientifically exhibited. The syllogisms are such as would make Aristotle stare, and the Latin would make every classical hair in your head stand on end.

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...