PERCIVAL FROST D.Sc. F. R. S. FELLOW AND MATHEMATICAL LECTURER OF KING'S COLLEGE; Fifth Edition Principiis enim cognitis, multo facilius extrema intelligetis.-CICERO. London MACMILLAN AND CO. LIMITED, NEW YORK: THE MACMILLAN COMPANY 1900 [All rights reserved] KF7660 HARVARD UNIVERSITY CAMBRIDGE: PRINTED (FROM PLATES) BY METCALFE & CO LTD., TRINITY STREET AND ROSE CRESCENT. 1900, PREFACE. IN publishing the following work my principal intention is to explain difficulties which may be encountered by the student on first reading the Principia, and to illustrate the advantages of a careful study of the methods employed by Newton, by shewing the extent to which they may be applied in the solution of problems. I have also endeavoured to give assistance to the student who is engaged in the study of the higher branches of Mathematics, by representing in a geometrical form several of the processes employed in the Differential and Integral Calculus, and in the analytical investigations of Dynamics. In my version of the first section and the beginning of the second I have adhered as closely as I could to the original form; and, in the cases in which sections have been interpolated, or the form of demonstration changed, I have indicated such changes and interpolations by brackets. |
