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.
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. –