MR. LYDON'S book, which is meant for young pupils, has many good points and a few bad ones. Like many other very recent books on geometry, it ignores Euclid's order, method, and language. In this way ...

The course presents a rigorous treatment of the foundations of Euclidean and non-Euclidean geometries. The discovery of non-Euclidean geometry in the first half of the 19th century shattered the ...

This is a preview. Log in through your library . Publisher Information The National Council of Teachers of Mathematics is a public voice of mathematics education, providing vision, leadership, and ...

In this paper, I critically discuss Frege's philosophy of geometry with special emphasis on his position in The Foundations of Arithmetic of 1884. In Sect. 2,1 argue that that what Frege calls faculty ...

THIS text-book should evoke in the student a realization of the infinite possibilities opened up by the many geometries included in the general scheme in which the classical geometry of his curriculum ...

Euclidean geometry is the branch of mathematics describing shapes and the spatial relationships between objects in ...