...OEOMKTIIY. Hit. H. THRIFT. Theoretical. 1 . If the square described on one side of i» triangle is equal to the sum of the squares described on the other two sides, prove that the triangle is right-angled. 2. Divide a line into two parts so that the rectangle contained...

...illustrate each in its order: The square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides, is an example of knowledge obtained by demonstrative reasoning; but that George Washington loved his...

...the right angle. The well-known property of the hypotenuse, that the square described on it is equal to the sum of the squares described on the other two sides, is proved in Euclid's 47th proposition of Book I. Hypo'thec, in Scotland a lien or security over goods...

...discovered by Pythagoras, which proves that the square described ub, Hypotenuse. on the hypotenu9e is equal to the sum of the squares described on the other two sides. Hypsometry (h * p • s0™'*-1" ) • th« •'Jr "J' measurement of heights. See Heights. Hyracotherium...

...before. Yes, the formula is the same: "The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides" (book iv, p. xi); but it is our own now more than ever. As we advance we get forms of nature's crystals,...

...Theorem is stated thus: In a right-angled triangle the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. 184 Everyone who has attended public school and paid the slightest attention in math class knows that...