Newton's `Principia', Book Two. Lemma II.

In the Principia, Book Two, Lemma II, Newton describes what is essentially the Product Rule for differentiation, applying it to calculate the `moments' of quantities that are expressed as products of powers of other quantities whose moments are known.

The Latin text available here is taken from the 3rd edition of the Principia, published in 1726. The English translation was made by Andrew Motte and published in 1729.

Latin Text:

The text of the Scholium in the first edition of 1687 differed from that given in the third edition of 1726.

English Translation:


D.R. Wilkins
School of Mathematics
Trinity College, Dublin