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. Galileo s 

 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 

 ing it from its Conciseness and Synthetical form, ib. Jesuits 

 edition, 13 Submission to papal authority, ib. Pius VII. s 

 liberality, Sorbonne and Buffon, ib. note. 



I. 



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. Pnncipia.) 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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