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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
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Ray's Modern Practical Arithmetic: A Revised Edition of Ray's Practical ...

Joseph Ray - Arithmetic - 1903 - 366 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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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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God and Nothing

William Wallace Handlin - God - 1903 - 330 pages
...distances of the heavenly bodies by means of the triangle. The square described on the hypothenuze is equal to the sum of the squares described on the other two sides. A triangle formed by a point on the surface of the earth, its center and the sun, has a respectable...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...the square DC. PROPOSITION 48. THEOREM. If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, then the angle contained by these two sides shall be a right angle. BC Let ABC be a triangle ; and...
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Arithmetic for Business with Short Methods and Rapid Calculations in All ...

Jacob Henry Minick, Clement Carrington Gaines - Business mathematics - 1904 - 412 pages
...base. 438. To find the Hypotenuse. It is seen that the square described on the hypotenuse is equal to the sum of the squares described on the other two sides. Hence. RULE. — Add the square of the lose to the square of tJie perpendicular, and extract the square...
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Geometry: Plane Trigonometry. Chain Surveying. Compass Surveying. Transit ...

International Correspondence Schools - Building - 1906 - 634 pages
...parts. 56. The Theorem or Pythagoras. — In any right triangle, the square described on the hypotenuse is equivalent to the sum of the squares described on the other two sides. Let ABC, Fig. 38, be a right triangle. Draw an equal triangle in the position C B' C', so that C B' will...
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Exercises in Concrete Geometry: With Supplementary Discussions

David Sands Wright - Geometry - 1906 - 104 pages
...triangles. 25. Theorem. The square described on the side of a triangle opposite an acute angle is equal to the sum of the squares described on the other two sides diminished by twice the product of one of those sides by the projection of the other side upon it....
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Woodworking for Beginners: A Manual for Amateurs

Charles Gardner Wheeler - Woodwork - 1907 - 594 pages
...squares of the two sides. (The square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides.) You can measure the diagonal directly from a plan if you understand mechanical drawing well enough...
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Elements of Plane and Solid Geometry

Alan Sanders - Geometry - 1908 - 396 pages
...quarter of the given hexagon. 199 PROPOSITION XI. THEOREM 643. The square described on the hypotenuse of a rightangled triangle is equivalent to the sum of the squares described on the other two sides. ED Let ABC be a right-angled triangle. To Prove 5C2 = AS2 Proof. Describe squares on the three sides...
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