| 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:... | |
| 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:... | |
| 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... | |
| 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... | |
| 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.... | |
| Frederick Converse Beach - 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,... | |
| Henry Sinclair Hall - 1908
...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.... | |
| 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... | |
| 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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