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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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A Practical Business Arithmetic ...

Lorenzo Fairbanks - 1875 - 468 pages
...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 angle is equal to the square of the hypothenuse...
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Captain Sam: Or, The Boy Scouts of 1814

George Cary Eggleston - Adventure stories - 1876 - 234 pages
...line because I know that 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." " Whew ! it fairly takes the breath out of a fellow to hear you rattle that off," replied Sid. " Come,"...
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Captain Sam: Or, The Boy Scouts of 1814

George Cary Eggleston - Adventure stories - 1876 - 238 pages
...line because I know that the square described on the hypothenusc of a right angled triangle is equal to the sum of the squares described on the other two sides." " Whew ! it fairly takes the breath out of a fellow to hear you rattle that off," replied Sid. " Come,"...
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Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1877 - 458 pages
...H CBI PROPOSITION XI. THEOREM. In any right-angled triangle the square described on the hypothenuse is equivalent to the sum of the squares described on the other two sides. Let ABC be a right-angled triangle, having the right angle BAC ; the square described upon the side BC...
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The Teachers' Psychology: A Treatise on the Intellectual Faculties, the ...

Adonijah Strong Welch - Educational psychology - 1889 - 346 pages
...inches long, the hypothenuse 10 inches; show that the square described on the hypothenuse is equal to the sum of the squares described on the other two sides, by dividing each of the three squares into small squares whose area is one inch each; then counting...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 414 pages
...COMPARISON OF AREAS. Proposition 7. Theorem. 374. The square described on the hypotenuse of aright triangle is equivalent to the sum of the squares described on the other two sides. Hyp. Let ABC be a rt. A, rt. angled at A, and BE, AK, AF squares on BC, AC, AB. To prove sq. on BC=sq....
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet - Geometry - 1891 - 336 pages
...A'D'E' + A'E'F' & PROPOSITION X.— THEOREM. 21. The square described upon the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. Let the triangle ABC be right angled at C ; then the square AH, described upon the hypotenuse, is equal in area to the...
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Chamber's Encyclopaedia: A Dictionary of Universal Knowledge, Volume 6

Encyclopedias and dictionaries - 1891 - 890 pages
...the right angle. The well-known property of the hypothennse, that the square described on it is equal to the sum of the squares described on the other two sides, is proved in the 47th proposition of the first book of Euclid's Elements. Hyracotherium, a genus of...
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The History and Science of Education ...

William J. Shoup - Education - 1891 - 332 pages
...publish as an original discovery the astonishing fact that the square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares on the other two sides, or the geographer who should just discover that the earth is a sphere. The...
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The Carpet-dealer's Guide: A Manual of Practical Information on the Art of ...

John H. Macke - Carpet laying - 1891 - 244 pages
...above. APPLICATlON OF THE SQUARE ROOT. It is a known principle that the square on the longest side of a rightangled triangle is equivalent to the sum of the squares of the other two sides. To illustrate this proposition, let ABС be a right-angled triangle, right...
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