| Adrien Marie Legendre - Geometry - 1857 - 444 pages
...right•angled triangle, right•angled at A : then will the square described on the hypothenuse BO be **equivalent to the sum of the squares described on the other two sides,** BA, AC. G Having described a square on each of the three sides. let fall from A, on the hy• pothenuse,... | |
| James Stewart Eaton - Arithmetic - 1857 - 376 pages
...circumferences. FIG. 12. 6. 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.** This will be seen by counting the small squares in the square of the hypothenuse and those in the squares... | |
| Benjamin Greenleaf - Arithmetic - 1858 - 458 pages
...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
...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 - 324 pages
...the Office-holders should drink confusion to the fact that 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** ; 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... | |
| 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... | |
| Charles Davies - Logic - 1860 - 404 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... | |
| Benjamin Greenleaf - Arithmetic - 1860 - 458 pages
...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... | |
| 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... | |
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