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" In any right-angled triangle, the square described on the hypotenuse is equal to the sum of the squares described upon the other two sides. "
Plane and Solid Geometry: Suggestive Method - Page 190
by George Clinton Shutts - 1894 - 389 pages
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 pages
...triangle, SeC. QED Cor. If the square described upon one of the sides of a triangle, be equivalent to the sum of the squares described upon the other two sides, the angle contained by these twq sides is a right angle. ELEMENTS OF GEOMETRY. BOOK II. DEFINITIONS....
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Elements of Geometry Upon the Inductive Method: To which is Added an ...

James Hayward - Geometry - 1829 - 218 pages
...c8, that is — The square described upon the hypothenuse of a right-angled triangle, is equivalent to the sum of the squares described upon the other two sides. 173. We may demonstrate this truth from the areas immediately, without referring the lines to numbers,...
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Elements of Geometry: With Practical Applications, for the Use of Schools

Timothy Walker - Geometry - 1829 - 156 pages
...polygon. 108. THEOKEM. — The square described upon the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides. This is the celebrated proposition, with the discovery of which Pythagoras is said to have been so...
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A Collection of Cambridge Mathematical Examination Papers: Papers in the ...

John Martin Frederick Wright - Astronomy - 1831 - 282 pages
...cycloid. TRINITY COLLEGE, MAY 1828. 1 . IP the square described upon one of the sides of a triangle is equal to the sum of the squares described upon the other two ; the angle contained by these two is a right angle. 2. In a given circle to inscribe a triangle equiangular...
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The First Six Books of the Elements of Euclid: With Notes

Euclid - Euclid's Elements - 1833 - 216 pages
...71. PROP. XLVIII. THEOR. Fig. 72. If the square described upon one side (AC] of a triangle (ABC) be equal to the sum of the squares described upon the other two sides (AB andBC), the angle (ABC) opposite to that side is a right angle. 1 i ) SchoL From the point B draw...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1837 - 216 pages
...parallel. 256. Theorem. The square described upon the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides. Demonstration. Let squares be constructed upon the three sides of the right triangle ABC (fig. 130),...
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Report of the Committee of Council on Education (England and Wales ..., Volume 2

Great Britain. Council on Education - 1845 - 696 pages
...but shall contain a greater angle. 60.*If the square described upon one of the sides of a trinngle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a right angle. 61. If a straight line be divided into...
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The English Journal of Education, Volume 1

Education - 1847 - 508 pages
...same parts, are between the same parallels. 3. If the square described upon one side of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained by these two sides is a light angle. SECTION Il. — 1. To divide a straight...
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An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1847 - 204 pages
...parallel. ' 256. Theorem. The square described upon the hypothenuse of a right triangle is equivalent to the sum of the squares described upon the other two sides. Proof. Let squares be constructed upon the three sides of the right triangle ABC (fig. 130), right-angled...
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Reports on Elementary schools

Her MAjesty' Inspectors of schools - 1850 - 912 pages
...many right angles as the figure has sides. 2. If the square described upon one side of a triangle be equal to the sum of the squares described upon the other two sides of it, the angle contained bj these two sides is a right angle. 3. In every triangle the square of...
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