...priests. We next find it in Greece, among the philosophers and learned men; — cultivated by Thales, Pythagoras, Plato, and their schools, and by Euclid,...geometrical knowledge ; the former, who lived about 550 BC, being understood to have discovered that elegant proposition, which still bears his name, respecting...

...priests. We next find it in Greece, among the philosophers and learned men ; — cultivated by Thales, Pythagoras, Plato, and their schools, and by Euclid,...semicircle is a right angle, and to have testified lu's joy by a sacrifice to the Muses ! Pythagoras and Plato also are said to have extended the bounds...

...Greece, about six hundred years before the Christian era ; he is also said, wliicli indicates tlie state of the science at that time, to have himself...have testified his joy by a sacrifice to the Muses! Pythagvras and Plato also are said to have extended the bounds of geometrical knowledge ; the former,...

...and at Luxor, for to Pythagoras himself is due the honor of discovering the fundamental propositions that the angle inscribed in a semi-circle is a right angle, and that the square of the hypothenuse in a right angle triangle is equal to the sum of the squares of...

...Euclid, Archimedes, and Apollonius. Thales is said to have brought it into Greece, about six hurfdred years before the Christian era ; he is also said,...geometrical knowledge ; the former, who lived about 550 BC, being understood to have discovered that elegant proposition, which still bears his name, respecting...

...Arnauld raises an objection of this sort in Objections IV. Having imagined a person who is certain that the angle inscribed in a semicircle is a right angle (and therefore that the triangle formed by this angle and the circle's diameter is a right triangle), he...