 | Homersham Cox - Calculus, Integral - 1852 - 156 pages
...following passage in Dr. Button.s Mathematical Dictionary. In reference to the theorem that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the sides, it is remarked, that " Plutarch even doubts whether such a sacrifice was... | |
 | Charles Davies - Arithmetic - 1852 - 438 pages
...worthy of particular notice. In every right angled triangle, the square described on the hypothenuse, is equal to the sum of the squares described on the other two sides. Thus, if ABC be a right angled tria,ngle, right angled at C, then will the square D described on AB... | |
 | Adrien Marie Legendre - Geometry - 1852 - 436 pages
...right-angled triangle, right-angled at A : then will the square described on the hypothenuse BC be equivalent to the sum of the squares described on the other two sides, BA, AC. FGI H D Haying described a square on each of the three sides, let fall from A, on the hypothenuse,... | |
 | Daniel Leach - Arithmetic - 1853 - 622 pages
...sides the base and perpendicular. 293. The square described on the hypothenuse, or longest side, is equal to the sum of the squares described on the other two sides. Thus, suppose the longest side is 10 ft., the base 6 ft., and the perpendicular 8 ft. 10a=100. 6a=36.... | |
 | Dugald Stewart - Human information processing - 1854 - 514 pages
...intuition, which implies case and iustantaneousness of operation. Take the geometrical theorem, that the square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the two other sides ; it is proved by a series of propositions, the connection of each... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...(A.!.), (AB+BC)x (AB-BC)oAB^-BC3. Scholium. This property is expressed by the algebraical formula, PROPOSITION XI. THEOREM. 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. Let BCA be a right•angled... | |
 | John Cumming - Bible - 1854 - 496 pages
...; any two sides of a triangle are together greater than the third side, is a truth ; the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, is a truth ; but you may be successful in the world, and enter... | |
 | Asa Mahan - Spiritualism - 1855 - 496 pages
...has here. Swedenborgianism, then, is as demonstrably false, as the proposition that the square •of the hypothenuse of a right-angled triangle is equal to the sum of the squares of its two sides, is demonstrably true, and we are no more liable to err, in affirming... | |
 | Calvin Kingsley - Resurrection - 1855 - 162 pages
...which is equally distant from a common point? And when it is fairly demonstrated that the square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, can any subsequent progressive knowledge prove this theorem false... | |
 | John Cumming - Christian life - 1855 - 290 pages
...am proving that any two sides of a triangle are greater than the third side ; or that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides, I am engaged in proving a proposition, that no prejudice, no passion,... | |
| |
The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 
