| Benjamin Greenleaf - Geometry - 1861 - 628 pages
...equivalent to the algebraical formula, (o + &) X (a — 6) = a2 — 62. PROPOSITION XI. — THEOREM. 237. **The square described on the hypothenuse of a right-angled...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 - 520 pages
...equivalent to the algebraical formula, (a + 6) X (a — b) = a2 — b*. PROPOSITION XI. — THEOREM. 237. **The square described on the hypothenuse of a right-angled...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... | |
| Henry Barnard - Military education - 1862 - 399 pages
...of a triangle is 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... | |
| Benjamin Greenleaf - Geometry - 1862 - 514 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... | |
| Education - 1862
...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... | |
| Benjamin Greenleaf - Geometry - 1863 - 320 pages
...equivalent to the algebraical formula, (a + ft) X (a — by = a2 — b\ PROPOSITION XI. — THEOREM. 237. **The square described on the hypothenuse of a right-angled...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... | |
| Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...altitude. Hence, the area of a trapezoid, etc. THEOREM XIX. The square described on the hypotenuse **of a rightangled triangle is equivalent to the 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... | |
| Churches of Christ - 1863
...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... | |
| Adrien Marie Legendre - Geometry - 1863 - 464 pages
...PROPOSITKOT XL THEOREM. The square described on the hypothemcse of a right-angled triangle, is equal **to the sum of the squares described on the other two sides. Let** ABC be a triangle, right-angled at A : then will BCZ = AB2 + AC\ Construct the square BCr on the side... | |
| James Stewart Eaton - Arithmetic - 1864 - 322 pages
...Base. SQUARE ROOT. The square described Fig. 2. on the hypothenuse of a right-angled triangle is equal **to the sum of the squares described on the other two sides.** Also the square of either of the two sides which form the right angle is equal to the square of the... | |
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