| 1832 - 522 páginas
...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... | |
| 1832 - 504 páginas
...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... | |
| 1833 - 412 páginas
...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... | |
| Euclid - 1835 - 540 páginas
...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... | |
| John Playfair - 1836 - 148 páginas
...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 squares described upon the sides which contain the right angle. Which was to be proved. PROP. XVIIL THEOR. If the square... | |
| 1836 - 488 páginas
...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... | |
| George Darley - 1836 - 172 páginas
...corresponding side of the other—these triangles arc in every respect equal to each other, ibid. opposite the right angle is equal to the squares described on the sides containing the right angle, taken together, 33. ART. 48. The centre of a circle falls within the circumference,... | |
| Euclides - 1837 - 112 páginas
...square.) PROPOSITION XLVII. ii Theorem. 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. In the construction of the figure it is necessary to... | |
| Edward Tagart - 1837 - 156 páginas
...space. If I were asked how I know that in any rightangled 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, my first answer might be, that I knew it by studying... | |
| Andrew Bell - 1837 - 290 páginas
...angles. PROPOSITION XL VII. THEOREM. 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... | |
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