 | Freemasonry - 1827 - 72 pages
...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.... | |
 | Industrial arts - 1832 - 522 pages
...refer to the famous proposition of Pythagoras, that " In any right-angled triangle, the square which is described upon the side, subtending the right angle,...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... | |
 | University of Cambridge - 1830 - 554 pages
...o'clock, to 11. First, Second, Third and Fourth Classes. \. IN any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the sum of the squares described upon the sides containing the right angle. 2. The sides about the equal... | |
 | Technology - 1832 - 504 pages
...refer to the famous proposition of Pythagoras, that " In any right-angled triangle, the square which is described upon the side, subtending the right angle,...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... | |
 | Education - 1833 - 412 pages
...straight lines, any 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... | |
 | Euclid - 1835 - 540 pages
...has all its angles right angles. PROP. XLVII. THEOR. In any right angled triangle, the square which is described upon the side subtending the right angle,...described upon 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... | |
 | John Playfair - Euclid's Elements - 1835 - 336 pages
...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... | |
 | Mathematics - 1836 - 488 pages
...any parallelogram, are equal to one another. XLVII. In any right angled triangle, the square which is described upon the side subtending the right angle,...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... | |
 | John Playfair - Geometry - 1836 - 148 pages
...has all its angles right angles. PROP XVII. THEOR. In any right angled triangle, the square ivhich is described upon the side subtending the right angle,...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... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...its angles right angles. PROPOSITION XL VII. THEOREM. In any right-angled triangle, the square which is described upon the side subtending the right angle,...described upon 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... | |
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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. 
