OF SIR ISAAC NEWTON'S PRINCIPIA. BY HENRY LORD BROUGHAM, F.R.S. MEMBER OF THE NATIONAL INSTITUTE OF FRANCE, AND OF THE ROYAL ACADEMY OF NAPLES; AND E. J. ROUTH, B.A. FELLOW OF ST. PETER'S COLLEGE, CAMBRIDGE. LONDON: LONGMAN, BROWN, GREEN, AND LONGMANS; C. KNIGHT EDINBURGH: A. AND C. BLACK; GLASGOW: R. GRIFFIN. 1855. 187.0.10. ΤΟ PROFESSOR THE BARON PLANA, OF TURIN, THIS WORK IS INSCRIBED, AS A SMALL TOKEN OF RESPECT FOR THE GREAT TALENTS AND PROFOUND LEARNING OF THAT EMINENT MATHEMATICIAN. CONTENTS. General remarks. Division of the work into Three Books, 1. State of Physical Astronomy and Dynamics before Sir Isaac Newton, 2. General law of gradual discovery, ib. Exam- ples Logarithms, ib. — Fluxions, ib. -- History of this Cal- culus, 3. Calculus of Variations, 5. Euler, Lagrange, Bernouilli, Emerson, 7. Copernican Theory, ib. discoveries, 8. Kepler's laws, ib. Huygens, ib. Borelli, ib. Hooke, ib. — Halley, ib. Peculiar maturity of the New- tonian theory as at first delivered, 10. Nothing since sup- plied to its demonstration which Sir Isaac Newton originally had left imperfect, ib. note. Three services beside the disco- very of Gravitation, performed by this work to science, ib. Prodigious merit, even if gravitation were struck out of it, 11. Reception of the Principia slow even in England, ib. Editions, ib. Maclaurin and Voltaire, 12. Difficulty of read- - - Definitions of the Principia, 14. Two remarks on them, ib.- to them, ib.· - Summary of dynamics, as it existed before Sir |