It is in this preface that Archimedes alludes to the lemma used by earlier geometers as the basis of the method of exhaustion (the Postulate of Archimedes, or the theorem of Euclid X.
Corollary--Hence it follows that there are certain ideas or notions common to all men; for (by Lemma ii.
This proposition is evident from the definition of an individual prefixed to Lemma iv.
Each of its parts would consist of several bodies, and therefore (by Lemma vi.
When m is indefinitely increased, the two last integrals have the limit zero in virtue of lemma (2).
Because every plane, parallel to the straight line HF, or TK, which will touch the spheroid, will touch it in this ellipse, according to the Lemma quoted a little before.
It is certain that the plane which will pass through the straight line KT, and which will touch the spheroid, will touch it at a point in the Ellipse HME, according to the Lemma which will be demonstrated at the end of the Chapter.
Lemma II, above), and which is equally in a part and in the whole, does not constitute the essence of any particular thing.
The above list will hopefully give you a few useful examples demonstrating the appropriate usage of "lemma" in a variety of sentences. We hope that you will now be able to make sentences using this word.
