 | 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... | |
 | 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 - 426 pages
...squares described on the sides BA, AC. Wherefore, in any right-angled triangle &c. QED PKOPOSITION 48. THEOREM. If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle.... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...squares described on the sides BA, AC. Wherefore, in any right-angled triangle &c. QED PROPOSITION 48. THEOREM. If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle.... | |
 | 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... | |
 | Eli Todd Tappan - Geometry - 1868 - 432 pages
...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.... | |
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If the square described on one of the sides of a triangle be equal to the squares described on the other two sides of it, the angle contained by these two sides is a right angle. 
