AN ELEMENTARY COURSE OF MATHEMATICS, DESIGNED PRINCIPALLY FOR STUDENTS OF THE BY THE REV. HARVEY GOODWIN, M. A., LATE FELLOW AND MATHEMATICAL LECTURER OF GONVILLE AND CAIUS COLLEGE. CAMBRIDGE: PRINTED AT THE UNIVERSITY PRESS, AND SOLD BY SIMPKIN, MARSHALL & CO., AND GEORGE BELL, LONDON. M. DCCC.XLVI. P R E F A CЕ. THE design of the following work will be understood hy reference to the following extracts from a Grace of the Senate, passed in May, 1846, which will regulate the examination of Candidates for Mathematical Honours in January, 1848, and succeeding years. It was determined by the Grace referred to, 1. That Questions and Problems being proposed to the Questionists on eight days, instead of six days as at present, the first three days be assigned to the more elementary, and the last five to the higher parts of Mathematics: that after the first three days, there shall be an interval of eight days; and that on the seventh of these days the Moderators and Examiners shall declare, what persons have so acquitted themselves as to deserve Mathematical Honours. 2. That those who are declared to have so acquitted themselves, and no others, be admitted to the Examination in the higher parts of Mathematics; and that after that Examination, the Moderators and Examiners, taking into account the Examination of all the eight days, shall arrange all the Candidates who have been declared to deserve Mathematical Honours into the three classes of Wranglers, Senior Optimes and Junior Optimes, as has been hitherto usual; and that these classes be published in the Senate House at nine o'clock on the Friday morning preceding the general B.A. Admission. 3. That the subjects of the Examination on the first three days shall be those contained in the following Schedule : EUCLID. Book I to VI. Book XI, Props. I to XXI. Props. I, II. Book XII, |