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" The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. "
Elementary Synthetic Geometry of the Point, Line and Circle in the Plane - Page 176
by Nathan Fellowes Dupuis - 1894 - 294 pages
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Science Record: A Compendium of Scientific Progress and Discovery During the ...

Alfred Ely Beach - Industries - 1874 - 624 pages
...and circles increase as the squares of their sides and diameters respectively, and that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of its two other sides. (28) COMPOUND HOSE-PIPES. IN order to unite the power of two or...
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The Complete Arithmetic, Part 2

Daniel W. Fish - Arithmetic - 1874 - 298 pages
...relating to right-a,igled triangles have been established by Geometry : PRINCIPLES. — 1. Tfie square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 2. The square of the lose, or of the perpendicular, of a right-angled...
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New Practical Arithmetic: for Grammar Departments

James Bates Thomson - 1875 - 392 pages
...angle is called the hypothenuse ; the other two sides the base and perpendicular. Base 540. The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.* 541. The truth of this principle may he illustrated...
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A Practical Business Arithmetic ...

Lorenzo Fairbanks - 1875 - 472 pages
...Any two sides of a right-angled triangle being given, to find the third side. THEOREM. — 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. COROLLARY. — The square of either side about the right...
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The Common School Arithmetic: Combining Analysis and Synthesis : Adapted to ...

James Stewart Eaton - Arithmetic - 1875 - 340 pages
...number ? 360. What is a Triangle ? A right-angled triangle? Hypotbenuse ? Base ? Fig. 2. 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. Also the square of either of the two sides which form...
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The elementary geometry of the right line and circle

William Alexander Willock - Circle - 1875 - 196 pages
...the sides become infinitely small, eventually become such. Hence it is inferred that the semicircle on the hypothenuse of a right-angled triangle is equal to the sum of the semicircles on the sides. PROBLEMS. WE now enter, by the introduction of ratio and proportion,...
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The industrial self-instructor and technical journal, Volume 3

Ward, Lock and co, ltd - 1884 - 424 pages
...multiplied by itself tomake the square : thus, 6 is the square root of the number 36. The square made on the hypothenuse of a rightangled triangle is equal to the sum of the squares formed on the other two sides (fig. 2, Plate CXLIII.). Thus, to find the side of a square,...
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The Engineer's Handy-book: Containing a Full Explanation of the Steam-engine ...

Stephen Roper - Mechanical engineering - 1884 - 740 pages
...triangle formed by the Counecting-rod, crank, and the included portion of the line. Now the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. The crank of a steam-engine moves six times as far while the piston...
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The Theory of Deflections and of Latitudes and Departures: With Special ...

Isaac W. Smith - Railroads - 1884 - 448 pages
...(f) Case 4. For the solution in this case, it is necessary to prove that the square of the length of the hypothenuse of a rightangled triangle is equal to the sum of the squares of the lengths of the base and perpendicular. This is generally deduced from the proposition...
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English Mechanic and World of Science: With which are ..., Volume 40

Industrial arts - 1885 - 598 pages
...example, let it be required to demonstrate, with the aid of Euclid I. 47, that the area of any rectangle described on the hypothenuse of a right-angled triangle is equal to the sum of two similar rectangles described on its sides. (See Fig. i .) bat three independent or arbitrary ones...
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