A cylinder of air reaching to the top of the atmosphere is of equal weight with a cylinder of water about 33 feet high.

Absolute, true and mathematical time, of itself, and from its own nature flows equably without relation to anything external.

It is the weight, not numbers of experiments that is to be regarded.

Every particle of matter is attracted by or gravitates to every other particle of matter with a force inversely proportional to the squares of their distances.

The latest authors, like the most ancient, strove to subordinate the phenomena of nature to the laws of mathematics.

By such deductions the law of gravitation is rendered probable, that every particle attracts every other particle with a force which varies inversely as the square of the distance. The law thus suggested is assumed to be universally true.

As in Mathematicks, so in Natural Philosophy, the Investigation of difficult Things by the Method of Analysis, ought ever to precede the Method of Composition. This Analysis consists in making Experiments and Observations, and in drawing general Conclusions from them by Induction, and admitting of no Objections against the Conclusions, but such as are taken from Experiments, or other certain Truths. For Hypotheses are not to be regarded in experimental Philosophy.