Greek geometry from Thales to Euclid
265 pages•about 5 h 30 min to read•Public domain
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About this book
George Johnston Allman’s historical study follows Greek geometry from its early beginnings through the work associated with Euclid, reconstructing the development of ideas rather than teaching a modern course. The book brings together a paper published in parts in Hermathena and is suited to readers interested in ancient mathematics and its sources. In considering the 3-4-5 triangle, Allman suggests that Egyptian recognition of its right angle may have grown from measuring patterned surfaces, then asks how practical observation became general mathematical knowledge. Later, he weighs what can be inferred about Hippocrates from Pythagorean teaching practices and traces a possible route by which Menaechmus arrived at properties of curves cut from a cone.
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