Sentence examples for in elementary geometry from inspiring English sources

Finding genius in elementary geometry.

Among the examples he refers to are the proofs found in elementary geometry of the problems of Apollonius.

In no mathematical subject are diagrams more prominent than in the elementary geometry Euclid develops in the text.

It enables one to calculate distances or, more important, to define distances in situations far more general than elementary geometry.

If we attend carefully to his examples, we can even see an emerging picture of elementary geometry as taught in the Academy.

In sum the Elements gathered together the whole field of elementary geometry and arithmetic that had developed in the two centuries before Euclid.

In Euclid's great work, the Elements, the only tools employed for geometrical constructions were the ruler and the compass a restriction retained in elementary Euclidean geometry to this day.

The status of the straight line in elementary Euclidean geometry as both the shortest curve joining any two of its points and as the curve that points always in the same direction was disentangled.

In fact, Legendre's attempts to restore rigour to the treatment of elementary geometry was no better than Euclid's, and in some ways worse, not only because his attempts to prove the parallel postulate inevitably failed, but because he smuggled more into his account than he realised.

Already in 1804 Bolzano's first scientific publication, namely Considerations on Some Objects of Elementary Geometry appeared; further mathematical publications followed between 1810 and 1817.

In order to eliminate such problems, an axiomatic basis was developed for the theory of sets analogous to that developed for elementary geometry.