Sentence examples for elementary geometry from inspiring English sources

Finding genius in elementary geometry.

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.

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

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

"A complex, beautiful pattern of lines emerged, based on solar alignments and elementary Euclidean geometry," Mr. Robb writes.

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.

Grothendieck's publications include Produits tensoriels topologiques et espaces nucléaires (1955; "Topological Tensor Products and Nuclear Spaces"); with Jean A. Dieudonné, Éléments de géométrie algébrique (1960; "Elementary Algebraic Geometry"); and Espaces vectoriels topologiques (1973; "Topological Vector Spaces").

Those include a work on inscribing the regular heptagon in a circle; a collection of lemmas (propositions assumed to be true that are used to prove a theorem) and a book, On Touching Circles, both having to do with elementary plane geometry; and the Stomachion (parts of which also survive in Greek), dealing with a square divided into 14 pieces for a game or puzzle.

The system is complete with respect to modern axiomatizations of elementary Euclidean geometry.