 | 1827 - 72 Seiten
...any right-angled triangle, the square which is described upon the side subtending the right-angle, is equal to the squares described upon the sides which contain the right angle. Euclid, lib. i. prop. 47. stitution are effectually answered, and religious animosities happily terminated.... | |
 | 1832 - 522 Seiten
...proposition of Pythagoras, that " In any right-angled triangle, the square which is described upon the side, subtending the right angle, is equal to...described upon the sides which contain the right angle." A no less important proposition is, that " if the hypothenuse of any rightangled triangle be the diameter... | |
 | 1832 - 504 Seiten
...proposition of Pythagoras, that " In any right-angled triangle, the square which is described upon the side, subtending the right angle, is equal to...described upon the sides which contain the right angle." A no less important proposition is, that " if the hypolhenuse of any rightangled triangle be the diameter... | |
 | 1833 - 412 Seiten
...two of these being greater than the third. 3. In a right angled triangle the square described upon the side subtending the right angle is equal to the squares described upon the sides containing the right angle. 4. If a straight line be divided into any two parts, the rectangle contained... | |
 | Euclides - 1834 - 518 Seiten
...parallelogram that has one right angle, has all its angles right angles. PROPOSITION XLVII. to the tquarct described upon the sides which contain the right angle....the right angle BAC : the square described upon the side BC, shall be equal to the squares described upon BA, AC. On BC describe * the square BDEC ; and... | |
 | Euclid - 1835 - 540 Seiten
...right angles. PROP. XLVII. THEOR. In any right angled triangle, the square which is described upon the side subtending the right angle, is equal to the...sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAG ; the square described upon the side BC is equal to... | |
 | John Playfair - 1835 - 336 Seiten
...angled triangle, the square which is described upon the side subtending the right angle, is equivalent to the squares described upon the sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAC ; the square described upon the side BC is equal to... | |
 | 1835 - 684 Seiten
...to the sum of the squares of the other two sides, the angle contained by those two sides shall be a right angle. Let ABC be a right-angled triangle, having the right angle, В AC : the square of В С shall be equal to the sum of the squares of В A, AC. Upon В С, В A,... | |
 | John Playfair - 1836 - 148 Seiten
...upon the sides AB, AC. Therefore, in any right angled triangle, the square which is described upon the side subtending the right angle, is equal to the...described upon the sides which contain the right angle. Which was to be proved. PROP. XVIIL THEOR. If the square described upon one of the sides of a triangle... | |
 | 1836 - 488 Seiten
...parallelogram, are equal to one another. XLVII. In any right angled triangle, the square which is described upon the side subtending the right angle, is equal to the...described upon the sides which contain the right angle. XLVIII. If the square described upon one of the sides of a triangle, be equal to the squares described... | |
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In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle. 
