 | James Pyle Wickersham - Education - 1865 - 504 pages
...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
...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 Stewart Eaton - Arithmetic - 1868 - 356 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 - 356 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
...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... | |
 | 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... | |
 | 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... | |
 | Eli Todd Tappan - Geometry - 1868 - 444 pages
...necessary. 411. Theorem. — The square described on the side opposite to an acute angle of a triangle, is equivalent to the sum of the squares described on the other two sides, diminished by twice the rectangle contained by one of these sides and the projection of the other on... | |
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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. 
