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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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Life at West Point: The Making of the American Army Officer: His Studies ...

Harrie Irving Hancock - 1902 - 340 pages
...circumference may always be made to pass, and but one. 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. Given the side of an equilateral triangle equal to 10 feet; find its area. Define "limit of a variable."...
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The School World: A Monthly Magazine of Educational Work and Progress, Volume 4

Education - 1902 - 678 pages
...equal to a given irregular pentagon. (4) If the square described on one side of a triangle is equal to the sum of the squares described on the other two sides, then the angle contained by these two sides is a right angle. (5) If a straight line is bisected and...
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Notes of Lessons on the Herbartian Method: (based on Herbart's Plan)

M. Fennell - Teaching - 1902 - 292 pages
...Preparation. i. Enunciation. 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. i (a) Right angle. (It) Triangle. 2. Definitions to / ; ' D- ,. , , , • , J \ (c) Right-angled triangle,...
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Notes of Lessons on the Herbartian Method: (based on Herbart's Plan)

M. Fennell - Teaching - 1902 - 294 pages
...Preparation. i. Enunciation. 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. (a) Right angle. (b) Triangle. .() Hypotenuse. • II. Presentation. i. Analysis of Enunciation....
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Elements of Plane and Solid Geometry

Alan Sanders - Geometry - 1903 - 396 pages
...hexagon. 642. EXERCISE. Construct a square equivalent to $ of a given square. PROPOSITION XI. THEOREM 643. The square described on the hypotenuse of a rightangled...the squares described on the other two sides. Let ABC be a right-angled triangle. To Prove Bd2 = AB2 + AC3 Proof. Describe squares on the three sides...
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The Testimony of Reason

Samuel Louis Phillips - Apologetics - 1903 - 124 pages
...when we look out on nature and find that a square described on the hypothenuse of every right angle triangle is equivalent to the sum of the squares described on the other two sides; that one of the functions of logarithms is that a high power of a number may be obtained by the multiplication...
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Plane Geometry by the Suggestive Method

John Alton Avery - Geometry, Modern - 1903 - 136 pages
...into four triangles of equal area. THEOREM X 193. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. Hyp. Let ABC be a rt. A, and let squares ACDX, BCRF, and ABLK be described on the hypo. AC, side BO,...
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Composition and Rhetoric

Maude Radford Warren - English language - 1903 - 408 pages
...appear probable ment. 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 ; it is a different matter to demonstrate the proposition, to prove the statement. Such is the purpose...
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New Grammar School Arithmetic

John Henry Walsh - Algebra - 1903 - 526 pages
...squares A and B (Fig. 5). 430. The square described on the hypotenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 431. Written Exercises. Find the missing side of each of the following ten rightangled triangles :...
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Ray's Modern Practical Arithmetic: A Revised Edition of Ray's Practical ...

Joseph Ray - Arithmetic - 1903 - 364 pages
...EVOLUTION Proposition. — 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. Draw a right-angled triangle, ABC, with the side BC 4 in., and the side AC 3 in.; then, the side AB...
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