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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
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Intermediate Geometry: Being Sections V and VI of "geometry, Theoretical and ...

Walter Percy Workman - Geometry - 1908 - 228 pages
...sides ...... (Euc I. 47) 212 RT.2''. — -If the square described ou one side of a triangle is equal to the sum of the squares described on the other two sides, the angle contained by these two sides is a right angle. (Euc. I. 48) 213 BT.3.t — In a right-angled...
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I.C.S. Reference Library, Volume 1

Correspondence schools and courses - 1909 - 870 pages
...PRINCIPLE OF THE RIGHT TRIANGLE 58. In any right triangle, the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. If ABC, Fig. 48, is a right triangle, Pl°- 48 right angled at B, then the square described on the...
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College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...formed equal to four times the given triangle. 4. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. 5. Of all triangles having the same base and equal perimeters, the isosceles triangle is the maximum....
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Journal of Education

Education - 1911 - 1334 pages
...questions bracketed.] 1. In a right-angled triangle the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. 2. In every triangle the square on the side subtending an acute angle is equal to the sum of the squares...
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Der Pythagoreischen Lehrsatz: mit einem Ausblick auf das Fermatsche problem

Walther Lietzmann - Fermat's theorem - 1911 - 84 pages
...proposüion 47 des I.Buches: In a right-angled Mangle the square described on the Hypotenuse is equal to the sum of the squares described on the other two sides. Damit sei es der Beispiele hier genug. 2. KAPITEL. ZERLEGUNGSBEWEISE. 1. Man zeichne ein Quadrat AB...
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Report of the Examinations Conducted by the Council of Higher Education ...

Newfoundland Council of Higher Education - 1911 - 250 pages
...concurrent. (14) C 6. Prove that the square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. ABCis a triangle right-angled at A; the sides AB, AC are intersected aiP, Q by a straight line PQ,...
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The Methodist Review, Volume 63; Volume 85

Methodist Church - 1903 - 1038 pages
...salient characteristics of an ellipse ; and another, demonstrating the familiar geometrical truth that the square described on the hypotenuse of a rightangled...sum of the squares described on the other two sides ; and a table holding wooden cubes, cones, cylinders, and globes ; and the wall of the place covered...
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Plane and Solid Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...A III' A I+A II AI q PROPOSITION XIL THEOREM 507. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides, K Given rt. A ABC, right-angled at C, and the squares described on its three sides. To prove square...
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Everybody's Cyclopedia: A Concise and Accurate Compilation of the ..., Volume 3

Charles Leonard-Stuart - Encyclopedias and dictionaries - 1912 - 646 pages
...subtends, or is opposite to, the right angle. Its property — that the square described on it is equal to the sum of the squares described on the other two sides — is demonstrated and generalized, so as to apply to any figure ia Euclid. The Hypothesis Hysteria...
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The South Mobilizing for Social Service: Addresses Delivered at the Southern ...

James Edward McCulloch - Social service - 1913 - 734 pages
...able to demonstrate that the square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides, while they may be absolutely ignorant of the fundamental laws of biology. We have gotten into an old...
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