Trigonometry, perhaps the most outstanding offspring of its mother Geometry, is the product of the special relationship of ancient Greek geometers with angles, ratios of magnitudes, and methods of approximation.
It developed both in plane and spherical form, and thus served the mathematical arts of geodesy and astronomy. A magnificent branch of the all-encompassing Geometry, it counted among its leading figures and servants Eudoxus, Archimedes, and Hipparchus.
Servants in this endeavour as well, we have gathered in this work a wealth of testimonies and applications of geometry from ancient Greece, so that we may honour it too—albeit, regrettably, for the first time—and at the same time offer a small glimpse of the arduous course of ancient Greek geometry.
