 | Benjamin Greenleaf - Geometry - 1861 - 638 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 - 518 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 - 410 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 - 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... | |
 | 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... | |
 | Benjamin Greenleaf - Geometry - 1863 - 504 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 - 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... | |
 | 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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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. 
