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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

## 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...

## 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...

## 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...

## 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...

## 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...

## 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...

## 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...

## 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...