 | 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 - 324 pages
...four make eleven ; or the Office-holders should drink confusion to the fact that the square described on the hypothenuse of a right-angled triangle is equivalent...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 - 460 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... | |
 | 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 - 440 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... | |
 | John Cumming - 1861 - 540 pages
...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... | |
 | Charles Davies - Arithmetic - 1861 - 496 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... | |
 | Benjamin Greenleaf - Geometry - 1862 - 518 pages
...algebraical formula, (a + 6) X (a — b) = a2 — b*. PROPOSITION XI. — THEOREM. 237. The square described on the hypothenuse of a right-angled triangle is equivalent...sum of the squares described on the other two sides. Let ABC be a right-angled 'triangle, having the right angle at A ; then the square described on the... | |
 | Benjamin Greenleaf - Geometry - 1861 - 638 pages
...algebraical formula, (o + &) X (a — 6) = a2 — 62. PROPOSITION XI. — THEOREM. 237. The square described on the hypothenuse of a right-angled triangle is equivalent...sum. of the squares described on the other two sides. Let ABC be a right-angled triangle, having the right angle at A; then the square described on the hypothenuse... | |
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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. 
