 | 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... | |
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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. 
