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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 Plane Geometry: For the Use of Schools - Page 63
by Nicholas Tillinghast - 1844 - 96 pages

## Sabbath Evening Readings on the New Testament, Volume 12

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...

## Davies' University Arithmetic: Embracing the Answers, and a Full Analysis ...

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...

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

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...

## Elements of Geometry and Trigonometry: With Practical Applications

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...

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

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...

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

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...

## The American Journal of Education, Volume 12

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...

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

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...