| 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 - 1861 - 638 pages
...X (a — 6) = a2 — 62. PROPOSITION XI. — THEOREM. 237. The square described on the hypothenuse **of a right-angled triangle is equivalent to the sum....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... | |
| Benjamin Greenleaf - Geometry - 1862 - 518 pages
...X (a — b) = a2 — b*. PROPOSITION XI. — THEOREM. 237. The square described on the hypothenuse **of a right-angled triangle is equivalent to the sum...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... | |
| Benjamin Greenleaf - Geometry - 1862 - 532 pages
...— b\ PROPOSITION XL — THEOREM. 237. The square described on the hypothenuse of a right-ariffle.d **triangle is equivalent to the sum of the squares described on the other** tivo sides. Let ABC be a right-angled L triangle, having the right angle at A ; then the square described... | |
| Henry Barnard - Military education - 1862 - 410 pages
...measured "by half of the product of the base by the height. The square constructed on the hypothenuse **of a right-angled triangle is equivalent to the sum of the squares** constructed on the other two sides.—The squares constructed on the two sides of the right angle of... | |
| Education - 1862 - 752 pages
...area of a polygon. — Measure of the area of a trapczoid. The square constructed on the hypothcnuse **of a right-angled triangle is equivalent to the sum of the squares** constructed OIL the other two sides. — The squares constructed on the two sides of the right angle... | |
| Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...product of the sum of AB and DC into the altitude. Hence, the area of a trapezoid, etc. THEOREM XIX. **The square described on the hypotenuse of a rightangled...sum of the squares described on the other two sides.** H Let ABC be a triangle right-angled at B. It is to be proved that the square AEDC is equivalent to... | |
| Benjamin Greenleaf - Geometry - 1863 - 504 pages
...ft) X (a — by = a2 — b\ PROPOSITION XI. — THEOREM. 237. The square described on the hypothenuse **of a right-angled triangle is equivalent to the sum...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 hypotheiiuse... | |
| Churches of Christ - 1863 - 876 pages
...does not think it necessary to prove 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,** every time that he attempts to square a building. It is enough for him to know that this truth has... | |
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