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OF

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. Q.10.

[graphic][merged small]

TO

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.

1.

Definitions of the Principia, 14. — Two remarks on them, ib. -

Early view given of the Great Discovery to which the whole
work leads, 15. — Three laws of motion, ib. — Six corollaries
to them, ib. — Summary of dynamics, as it existed before Sir
Isaac Newton, 16. - Scholium to the laws of motion, upon
uniform and accelerated motion, 17. — Laws and formulas on

velocity, space, and time, ib. note.

(Section I. Principia.) — Method of prime and ultimate ratios,

19. — Treatise on Fluxions, 20. — Fundamental principle of the

generation of quantities, ib. Generation of curves, 21. –

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