 | Stanley De Brath - Education - 1896 - 232 pages
...formulation. We set before a child a highly abstract statement, say Euclid I., 47, that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. This formulation of a general truth was reached through many particular... | |
 | Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...of P is, in general, one or more straight line«, and point out an exceptional case. 4. The square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the other two aidea. Prove this proposition, and also show from the figure that either... | |
 | William Seneca Sutton - 1896 - 342 pages
...two points ; measure the line. 35. Find the square root of the sum of 82 and 6*. 322. The square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two other sides. 61n 323. The square of either the base or the perpendicular of... | |
 | Edward Sylvester Ellis - United States - 1897 - 422 pages
...was his discovery of an original demonstration of the famous 4/th problem of Euclid, or pans asiuomm (the square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides). ':;' PERIOD VII THE NEw UNITED STATEs 1865 The President's... | |
 | Virna Woods - American fiction - 1897 - 84 pages
...discovered America in 1492 ; water is composed of two parts hydrogen to one part oxygen ; the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides." Then he tried to repeat to himself the process of the circulation... | |
 | Henry W. Keigwin - Geometry - 1898 - 250 pages
...a given line. How many chords are there satisfying the given conditions ? 15. Prove that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the sides. The areas of the circles whose diameters are the sides of a certain right-angled... | |
 | Augustus De Morgan - Mathematics - 1898 - 316 pages
...a series of which, did he know the previous propositions, he might be convinced that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the sides. CHAPTER XV. • ON AXIOMS. EOMETRY, then, is the application of strict logic... | |
 | Frank Castle - Mathematics - 1899 - 424 pages
...This is an application of the proposition in Euclid (Book I., Prop. 47) which states that The square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. Or AD2=AB2+BD2. Ex. 1. Let AB = 4 and BD=3. Then AD 2. To find... | |
 | Raymond Landon Bridgman - Providence and government of God - 1899 - 372 pages
...the senses, as one man, or it may be comprehended by insight into certain truths, as that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, or by a holding of the mind to a collection of separate facts,... | |
 | Cecil Reddie - Education - 1900 - 738 pages
...repeated trials. It is interesting to contrast the old and the suggested way of learning that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. As every one knows, the usual method is to give the boy the proposition... | |
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The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 
