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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. "
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... - Page 97
by Charles Davies - 1854 - 432 pages
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Elements of Plane and Spherical Trigonometry: With Practical Applications

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...
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Elements of Geometry and Trigonometry: With Practical Applications

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...
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Military Schools and Courses of Instruction in the Science and Art of War ...

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...
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Elements of Plane and Spherical Trigonometry: With Practical Applications

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...
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The American Journal of Education, Volume 12

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...
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Elements of Geometry: With Practical Applications to Mensuration

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...
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Primary Elements of Plane and Solid Geometry: For Schools and Academies

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...
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The British Millennial Harbinger

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...
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Elements of Geometry and Trigonometry

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...
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The Common School Arithmetic: Combining Analysis and Synthesis ; Adapted to ...

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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