| Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...line BC, being perpendicular to the base, is ^ the altitude. Bs»e. 535. The square described upon **the hypothenuse of a rightangled triangle is equivalent to the sum of the squares described** upon the other two sides. V Thus, if the hypothenuse AC be 5 feet, the base AB 4 feet, and the perpendicular... | |
| Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...Also, the line BC, being perpendicular to the base, is the altitude. 535. The square described upon **the hypothenuse of a rightangled triangle is equivalent to the sum of the squares described** upon the other two sides. Thus, if the hypothenuse AC be 5 feet, the base AB 4 feet, and the perpendicular... | |
| William Wirt Howe - 1859
...enact that six and four make eleven ; or the Office-holders should drink confusion to the fact that **the square described on the hypothenuse of a right-angled...sum of the squares described on the other two sides** ; or the able Editors should denounce the incoming flow of a spring tide as an altogether unprecedented... | |
| John Daniel Runkle - Mathematics - 1859 - 478 pages
...JAMES IIIUVAIIII OLIVER. The square described on t/te hypothenusc of a right-angled triangle is equal **to the sum of the squares described on the other two sides.** Drop a perpendicular from the right angle to the hypothenuse, and prove in the usual way that the two... | |
| Benjamin Greenleaf - Arithmetic - 1860 - 458 pages
...Also, the Hue BC, being perpendicular to the base, is the altitude. .">.T>, The square described upon **the hypothenuse of a rightangled triangle is equivalent to the sum of the squares** deBcribed upon the other two sides. Thus, if the hypothcnuse AC he 5 feet, the base AB 4 feet, and... | |
| Charles Davies - Logic - 1860 - 375 pages
...example : when we prove that the square Example, described on the hypothenuse of a right-angled. triaugle **is equivalent to the sum of the squares described on the other two sides,** we demonstrate the fact for all right-angled triangles. But in analysis, all numbers, all lines, all... | |
| Johann Georg Heck - Encyclopedias and dictionaries - 1860 - 332 pages
...particular case of this proposition is known as the Pythagorean: the square described upon the hypothenuse **is equivalent to the sum of the squares described on the other two sides.** As the unit of measure for the determination of the superficial relations of figures, we use a square... | |
| James Bates Thomson - Arithmetic - 1860 - 446 pages
...25 sq. ft. Hence, the square described on the hiipothenusc of any right-angled triangle, is eo/iial **to the sum of the squares described on the other two sides.** OBS. Since the square of the hypothenuse BC, is 25, it follows that tha , or 5, must be the hypothenuse... | |
| Charles Davies - Arithmetic - 1861 - 336 pages
...each other. 384. In a right-angled triangle the square described on thr Base. hypothenuse is equal **to the sum of the squares described on the other two sides.** Thus, if ACB be a right-angled triangle, right-angled at C, -then will the large square, D, described... | |
| John Cumming - 1861
...book of Euclid, that the square described on the hypothenuse of any right-angled triangle is equal **to the sum of the squares described on the other two sides** — I remember I could prove that step by step ; but I have been so much out of the way of mathematics... | |
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