| Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...angles right angles. .f PROP. XLVII. THEOR, In any right angled triangle, the square whieh is deseribed upon the side subtending the right angle, is equal to the squares deseribed upon the sides whieh eontain the right angle. Let ABC he a right angled triangle having the... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...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, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right-angled triangle, having the right angle BAC... | |
| 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, is equal to the squares described upon the sides which contain the right angle." A no less important proposition is, that " if the hypothenuse... | |
| Thomas Curtis (of Grove house sch, Islington) - 412 pages
...by the name of the Pythagoric theorem, from its supposed inventor Pythagoras, viz. ' That, in every rightangled triangle, the square described upon the side subtending the right angle is equal to both the squares described upon the sides containing the right angle.' On the other hand, a demonstrable... | |
| University of Cambridge - 1830 - 554 pages
...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, is equal to the squares described upon the sides which contain the right angle." A no less important proposition is, that " if the hypolhenuse... | |
| Education - 1833 - 412 pages
...to three given straight lines, any two of these being greater than the third. 3. In a right angled triangle the square described upon the side subtending...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... | |
| Euclid - 1835 - 540 pages
...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, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right angled triangle having the right angle BAG... | |
| 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, is equal to the squares described upon the sides which contain the right angle. XLVIII. If the square described upon one of the sides of a triangle,... | |
| 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, is equal to the squares described upon the sides which contain the right angle. Let ABC be a right angled triangle, having the right angle BAC... | |
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