...sensual gratification deserves, for a moment, to be compared with the joy of Pythagoras, on discovering that the square of the hypothenuse is equal to the squares of the other two sides of the right-angled triangle ? — with the transport of Archimedes, when he sprung...

...evening star was the same : he was the first also to demonstrate that in every rightangled triangle, the square of the hypothenuse is equal to the squares of the other two sides. It is said that Pythagoras was so transported with the discovery of this famous theorem,...

...applying to the text of the Bible. His faith, like that of the Protestant, is more or less firm according to the strength of his rational conviction. Like the...mathematical student believes that the square of the hypotenuse is equal to the squares of the sides enclosing the right angle, because he has read Euclid's...

...opinions, that there must necessarily be hostile mathematical sects; some affirming and some denying that the square of the hypothenuse is equal to the squares of the sides. But we do not think either the one analogy or the other of the smallest value. Our way of ascertaining...

...opinions that there must necessarily be hostile mathematical sects, some affirming, and some denying, that the square of the hypothenuse is equal to the squares of the sides. But we do not think either the one analogy or the other of the smallest value. Our way of ascertaining...

...the two following ; the sides of similar triangles are proportionals ; and in right-angled triangles the square of the hypothenuse is equal to the squares of the two sides. And I am not afraid to suppose several unknown quantities, that I may reduce the proposed...

...opinions, that there must necessarily be hostile mathematical sects, some affirming and some denying inguished it — unflinching and nnspari ng devotion , boldness of speec But we do not think either the one analogy or the other of the smallest value. Our way of ascertaining...

...the power of at once enabling Zerah Colburn to perform his mental calculations, Pythagoras to prove that the square of the hypothenuse is equal to the squares of the other two sides of a right-angled triangle, and Laplace to write " La Mdcanique Celeste." Observation...

...of the schools is of the canine tpeciei. and not very intelligible. ' The discovery of Pythagoras, My brotherhood 's other two sides of a right-angled triangle. • On a saint's day, the studentl wear surplices In chapel....

...proposition that the sum of any two sides of a triangle is greater than the third side ; or the theorem, the square of the hypothenuse is equal to the squares of the other two sides ; and they would never differ in their conceptions of these two truths. But the more...