 | Euclides - 1856 - Liczba stron: 168
...the sum of the squares BG, C H. XLVII.— EUCLID I. 48. If the square described upon one of the sides of a triangle be equal to the sum of the squares described on the two other sides, the angle contained by these two sides is a right angle. Let ABC (Fig. 37)... | |
 | Benjamin Greenleaf - 1857 - Liczba stron: 452
...the altitude. 535. The square described upon the hypothenuse of a rightangled triangle is equivalent to the sum of the squares described upon the other two sides. Thus, if the hypothenuse AC be 5 feet, the base AB 4 feet, and the perpendicular BC 3 feet, then 5*... | |
 | Benjamin Greenleaf - 1858 - Liczba stron: 458
...the altitude. 535. The square described upon the hypothenuse of a rightangled triangle is equivalent to the sum of the squares described upon the other two sides. Thus, if the hypothenuse AC be 5 feet, the base AB 4 feet, and the perpendicular BC 3 feet, then 5'-... | |
 | Benjamin Greenleaf - 1858 - Liczba stron: 456
...altitude. Bs»e. 535. The square described upon the hypothenuse of a rightangled triangle is equivalent to the sum of the squares described upon the other two sides. V Thus, if the hypothenuse AC be 5 feet, the base AB 4 feet, and the perpendicular BC a feet, then... | |
 | Thomas Lund - 1859 - Liczba stron: 390
...this proposition is also true, viz. that ' if the square described upon one of the sides of a riangle be equal to the sum of the squares described -upon the other two sides of it, the angle between these two sides is a right angle.' Let ABC be a triangle, such that square of AC + square of... | |
 | Sandhurst roy. military coll - 1859 - Liczba stron: 672
...by producing the sides successively in the same direction are together equal to four right angles. 2. If the square described upon one side of a triangle be equal to the squares described upon the other two sides of it, the angle contained by these two sides is a right... | |
 | 1859 - Liczba stron: 434
...Carpenter's Theorem, to wit: The square described upon the hypotemise of a right-angled triangle is equal to the sum of the squares described upon the other two sides. Although not a demonstration, it will carry with it a clear conviction .to many minds, and will be... | |
 | Woolwich roy. military acad - 1861 - Liczba stron: 572
...when (n) is a positive integer ; and find the coefficient of ** in the expansion of ( I + 3# + 4z*) 9. If the square described upon one side of a triangle be equal to the squares described upon the other two sides of it, the angle contained by those sides is a right angle.... | |
 | Olinthus Gregory - 1863 - Liczba stron: 482
...square of the hypothenuse is equal to the sum of the squares of the two sides. 17. If the square of one side of a triangle be equal to the sum of the squares of the other two sides ; then the angle comprehended by them is a right angle. IS. If an angle A, of... | |
 | Queensland. Department of Public Instruction - 1866 - Liczba stron: 336
...the remaining sides, each to each, and the third angle of the one to the third angle of the other. 3. If the square described upon one side of a triangle be equal to the squares described upon the other two sides, these two sides contain a right angle. 4. Find a point... | |
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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. 
