Porisms Sentence Examples

The "Porisms" quoted are interesting propositions in the theory of numbers, one of which was clearly that the dif f erence between two cubes can be resolved into of two cubes.

The book is valuable also for the propositions in the theory of numbers, other than the "porisms," stated or assumed in it.

Each of these was divided into two books, and, with the Data, the Porisms and Surface-Loci of Euclid and the Conics of Apollonius were, according to Pappus, included in the body of the ancient analysis.

With the mention of the Porisms of Euclid we have an account of the relation of porism to theorem and problem.

We do know three lemmas contained in The Porisms since Diophantus refers to them in the Arithmetica.