| Adrien Marie Legendre - Geometry - 1863 - 464 pages
...PROPOSITKOT XL THEOREM. The square described on the hypothemcse of a right-angled triangle, is equal **to the sum of the squares described on the other two sides. Let** ABC be a triangle, right-angled at A : then will BCZ = AB2 + AC\ Construct the square BCr on the side... | |
| James Stewart Eaton - Arithmetic - 1864 - 322 pages
...Base. SQUARE ROOT. The square described Fig. 2. 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... | |
| 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
...parallelogram which has the same base and the same altitude;" "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;"** &c., &c. A well-graded course of instruction of this kind, if judiciously given, would furnish very... | |
| James Pyle Wickersham - Education - 1865 - 508 pages
...parallelogram which has the same base and the same altitude;" "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** ;" &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... | |
| 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... | |
| William Harris Johnston - 1865 - 478 pages
...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... | |
| 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 - 538 pages
...the proficiency exhibited bv Miss Emmaretta Williams, who demonstrated the beautiful 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... | |
| |