THERE are many geometrical results which are not directly formulated or stated in Euclid's Elements, which are yet constantly turning up in the solution of geometrical problems, and it is very ...

Many ancient societies knew important mathematical facts, but only one discovered mathematics—which is not a collection of accurate rules of thumb, but a body of knowledge organized deductively, by ...

Euclid’s Elements, which presented the state of the art in geometry around 300 B.C., has been extraordinarily influential. This massive, 13-volume compendium set the standard for mathematical ...

THIS is a “prodigious” work of 182 pages demy 8vo, printed on excellent paper, with clearly-drawn figures, devoted to the “painful” elucidation of all the difficulties to be found in the first book of ...

SEQUEL TO THE FIRST SIX BOOKS OF THE ELEMENTS OF EUCLID : CONTAINING AN EASY INTRODUCTION TO MODERN GEOMETRY WITH NUMEROUS EXAMPLES BY JOHN CASEY ...