 | Horatio Nelson Robinson - Conic sections - 1865 - 474 pages
...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 - Education - 1865 - 504 pages
...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 - Arithmetic - 1866 - 356 pages
...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... | |
 | Education - 1866 - 538 pages
...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 - Euclid's Elements - 1867 - 424 pages
...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... | |
 | 1867 - 224 pages
...having its sides _ equal to three given straight lines ? ^, t, > , what condition is necessary ? 8. If the square described on one side of a triangle be equal to the squares described on the other two sides, the angle contained by those two sides is a right angle.... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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... | |
 | Charles Davies - Mathematics - 1867 - 186 pages
...individual of the class. For example : " the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides," is a proposition equally true of every right-angled triangle : and " every straight line perpendicular... | |
 | Charles Davies - Arithmetic - 1867 - 486 pages
...right-angled triangle the square described on the ase' 330 EXTRACTION OF THE SQUARE ROOT. hypothcnusc is equal to the sum of the squares described on the other two skies. Thus, if ACB be a right-angled triangle, right-angled at C, then will the large square, D, described... | |
 | Edward Brooks - Geometry - 1868 - 284 pages
...—2ab (« + &) (a THEOREM VI. 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. Let ABC be a triangle, right-angled at B; then will For, construct squares on each of the sides, draw... | |
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If the square described on one side of a triangle be equal to the sum of the squares described on the other two sides, the angle contained by these two sides is a right angle. 
