 | William Chauvenet - Geometry - 1891 - 336 pages
...A'D'E' + A'E'F' & PROPOSITION X.— THEOREM. 21. The square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. Let the triangle ABC be right angled at C ; then the square AH, described upon the hypotenuse, is equal... | |
 | John H. Macke - Carpet laying - 1891 - 244 pages
...above. APPLICATlON OF THE SQUARE ROOT. It is a known principle that the square on the longest side of a rightangled triangle is equivalent to the sum of the squares of the other two sides. To illustrate this proposition, let ABС be a right-angled triangle, right... | |
 | Encyclopedias and dictionaries - 1891 - 890 pages
...the right angle. The well-known property of the hypothennse, that the square described on it is equal to the sum of the squares described on the other two sides, is proved in the 47th proposition of the first book of Euclid's Elements. Hyracotherium, a genus of... | |
 | Thomas J. Foster - Coal mines and mining - 1891 - 444 pages
...the number of sides. 18. 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. Thus, in a right-angled triangle whose base is -20 ft. and its altitude 10, the square of the hypothenuse... | |
 | Queensland. Department of Public Instruction - Education - 1892 - 508 pages
...algebraical statement. 8 •2 9 6 10 12 3. (a) If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, then the angle contained by these two sides shall be a right angle. (V) Enunciate the converse of Euclid... | |
 | Euclid - Geometry - 1892 - 460 pages
...straight lines. v PROPOSITION 48. THEOREM. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, tlien the angle contained by these two sides shall be a right angle. B Let ABC be ;i triangle; and... | |
 | William James Milne - Arithmetic - 1892 - 440 pages
...of a square ? 459. Since the square described upon the hypotenuse, or side opposite the right angle, of a right-angled triangle is equivalent to the sum of the squares upon the other two sides, it is evident : 1st, That the hypotenuse is equal to the square root of the... | |
 | Walter Thomas Cheney - 1893 - 352 pages
...geometrical theorem that the square described on the hypotenuse of a right-angle triangle is equal to the sum of the squares described on the other two sides. Well, imagine the ' earth ' to be that ' triangle ' and the ' mount ' the ' square,' and " " I see... | |
 | National Education Association of the United States - Education - 1895 - 1120 pages
...daisies, the twentieth daisy is not apt to get its full share of attention. When we draw to show that the square described on the hypothenuse of a right-angled...sum of the squares described on the other two sides, we are aided by seeing visible proof of the statement, and the drawing does not deteriorate. I doubt... | |
 | Bothwell Graham - Arithmetic - 1895 - 240 pages
...having one right angle. 6. The square described upon the hypotenuse (side opposite the right angle) of a right-angled triangle is equivalent to the sum of the squares described .upon the other two sides: whence, the hypotenuse is equal to the square root of the sum of the squares... | |
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The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides. 
