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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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Treatise on Plane and Solid Geometry: For Colleges, Schools and Private ...

Eli Todd Tappan - Geometry, Modern - 1864 - 292 pages
...demonstration from Euclid. 408. Theorem. — The square described on the hypotenuse of a right angled triangle is equivalent to the sum of the squares described on the two legs. Let ABC be a right angled triangle, having the right angle BAG. The square described on the...
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Methods of Instruction ...

James Pyle Wickersham - Education - 1865 - 504 pages
...angles;" "Every triangle is half the parallelogram which has the same base and the same altitude;" "The square described on the hypothenuse of a right-angled...of the squares described on the other two sides;" &c., &c. A well-graded course of instruction of this kind, if judiciously given, would furnish very...
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Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Conic sections - 1865 - 472 pages
...; and (a + b) x (a — b) = a? — b\ THEOREM XXXIX. The square described on the hypotenuse of any right-angled triangle is equivalent to the sum of the squares described on the other two sides. Let ABC represent any righ1>angled triangle, the right angle at B ; we are to prove that the square on...
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Loftus's Inland Revenue Officers' Manual: a guide to the duties and ...

William Harris JOHNSTON - 1865
...right-angled triangle has this important property that " the square described on the hypotenuse is equal to the sum of the squares described on the other two sides," that is, the square on the side opposite to the right angle equals in area the sum of the squares on...
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The Common School Arithmetic ...

James Stewart Eaton - Arithmetic - 1868 - 352 pages
...circle*? 11. The square de- ^ Fig. 12. scribed 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 the right angle is equal to the square of the...
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Practical Arithmetic: Embracing the Science and Applications of Numbers

Charles Davies - Arithmetic - 1866 - 354 pages
...denote the side. 367. In a right-angled triangle, the square described on the hypothenuse is equal to the sum of the squares described on the other two sides. t. Of 22071204? 14. Of 4.426816? 8. Of 3271.4207? 15. Of 8|? 9. Of 4795.25731 ? 16. Of 9f? 10. Of 4.372594...
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Illinois Teacher: Devoted to Education, Science and Free Schools, Volume 12

Education - 1866
...I'ythagor'ean theorem, "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." Miss Lizzie Trull and Mr, Allison also deserve especial praise for the ready manner in which they answered...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...the angle cannot be a right angle, since the square described on the first side would then be equal to the sum of the squares described on the other two sides, by I. 47 ; and the angle cannot be acute, since the square described on the first side would then be...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...the angle cannot be a right angle, since the square described on the first side would then be equal to the sum of the squares described on the other two sides, by I. 47 ; and the angle cannot be acute, since the square described on the first side would then be...
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Outlines of Mathematical Science for the School Room

Charles Davies - Mathematics - 1867 - 186 pages
...example : when we prove 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, we demonstrate the fact for all right-angled triangles. But in analysis, all numbers, all lines, all...
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