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Books Books 11 - 20 of 121 on In a right-angled triangle, the square on the hypotenuse is equal to the sum of the....
" In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle 59 THEOREM 30. "
The Elements of Surveying and Geodesy - Page 12
by William Charles Popplewell - 1915 - 244 pages
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 504 pages
...of the diagonals of the square constructed on the outer side of the hypotenuse. PROPOSITION 47. In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other sides. Let ABC be a right-angled triangle, having the right angle BAC:...
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Euclid's Elements of Geometry, Books 1-6; Book 11

Henry Martyn Taylor - 1895 - 657 pages
...of the diagonals of the square constructed on the outer side of the hypotenuse. PROPOSITION 47. In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other sides. Let ABC be a right-angled triangle, having the right angle BAC:...
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The Popular Science Monthly, Volume 50

Science - 1897
...numbers.. Your ordinary Englishman, indeed, is never quite satisfied by Euclid's demonstration that in a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the two opposite sides; he honestly believes it when he sees it tried a hundred and...
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Appletons' Popular Science Monthly, Volume 50

William Jay Youmans - Science - 1897
...numbers. Your ordinary Englishman, indeed, is never quite satisfied by Euclid's demonstration that in a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the two opposite sides; he honestly believes it when he sees it tried a hundred and...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 355 pages
...their vertices pointing outwards. Prove that AD=BE=CF. THEOREM 6. [THE THEOREM OF PYTHAGORAS.] In a right.angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle. H Data ABC is a triangle, right.angled at A....
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The Encyclopedia Americana, Volume 13

Frederick Converse Beach, George Edwin Rines - Encyclopedias and dictionaries - 1904
...individuality. Pythagore'an Theorem, the 47th proposition of the first book of Euclid's Elements, which shows that in any right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. Pythagore'anism, the philosophical doctrine of the Pythagoreans,...
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A School Geometry, Parts 1-4

Henry Sinclair Hall - Geometry - 1908 - 138 pages
...square on AB, in the way indicated by corresponding numbers. These experiments point to the conclusion that : In any right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. A formal proof of this theorem is given on the next page. GEOMETRY....
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Appleton's New Practical Cyclopedia: A New Work of Reference Based ..., Volume 3

Marcus Benjamin, Arthur Elmore Bostwick, Gerald Van Casteel, George Jotham Hagar - Encyclopedias - 1910
...forty-seventh proposition, or Pythagoras's theorem, is a brilliant line of reasoning to prove that in a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. Descriptive geometry is that branch of practical mathematics...
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Advanced Arithmetic

Charles William Morey - Arithmetic - 1911 - 428 pages
...How does the square on the hypotenuse compare with the sum of the squares on the altitude and base ? In any right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. Letting h represent the hypotenuse, a the altitude, and b the...
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The Americana: A Universal Reference Library, Comprising the Arts ..., Volume 17

Frederick Converse Beach, George Edwin Rines - Encyclopedias and dictionaries - 1912
...individuality. Pythagore'an Theorem, the 47th proposition of the first book of Euclid's Elements, which shows that in any right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. Pythagore'anism, the philosophical doctrine of the Pythagoreans,...
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