 | James Stewart Eaton - 1864 - 322 σελίδες
...B 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 - 1864 - 288 σελίδες
...Theorem. — The square described on the side opposite an obtuse angle of a triangle, is equivalent to the sum of the squares described on the other two sides, increased by twice the rectangle of one of those sides and the projection of the other on that side.... | |
 | William Harris Johnston - 1865 - 478 σελίδες
...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 - 1868 - 356 σελίδες
...two 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... | |
 | Horatio Nelson Robinson - 1865 - 474 σελίδες
...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... | |
 | James Pyle Wickersham - 1865 - 504 σελίδες
...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... | |
 | Charles Davies - 1866 - 356 σελίδες
...5, will 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... | |
 | 1866 - 538 σελίδες
...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 also deserve especial praise for the ready manner in which they answered... | |
 | Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...obtuse. For 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 - 1867 - 426 σελίδες
...obtuse. For 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 square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 
