| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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