Sentence examples for for elementary geometry from inspiring English sources

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

Another well-known positive finding is that of the Polish-American semanticist and logician Alfred Tarski, who developed a decision procedure for elementary geometry and elementary algebra (1951).

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

Hilbert and Bernays use this theorem to give a finitistic consistency proof of elementary geometry (1939, Sec 1.4).

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.

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

But its chief significance for present purposes is that it exemplifies the attempt to ground elementary geometry on a concept of distance, or rather, and more precisely, on the idea that a straight line is the curve of shortest distance between any of its points.

Finding genius in elementary geometry.

Birkhoff's works include Relativity and Modern Physics (1923), Dynamical Systems (1928), Aesthetic Measure (1933), and a textbook on elementary geometry, Basic Geometry (1941; with Ralph Beatley).

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

Then, elementary geometry comes into play: draw a circle on the surface of the earth showing all the points that match that distance.