 | Thomas Babington Macaulay Baron Macaulay - 1850 - 338 páginas
...opinions that there must necessarily be hostile mathematical sects, some affirming, and some denying, that the square of the hypothenuse is equal to the squares of the sides. But we do not think either the one analogy or the other of the smallest value. Our way of ascertaining... | |
 | 1851 - 592 páginas
...sensual gratification deserves for a moment to be compared with the joy of Pythagoras, on discovering that the square of the hypothenuse is equal to the squares of the other two sides of the right angled triangle; with the transport of Archimedes, when he sprung out... | |
 | Vasiliĭ Mikhaĭlovich Golovnin - 1852 - 308 páginas
...demonstrate geometrical truths, I asked whether they were perfectly convinced that in a right-angled triangle the square of the hypothenuse is equal to the squares of the other two sides ? He answered in^he affirmative. I then asked how they were certain of this fact, and... | |
 | Nicholas Patrick Wiseman - 1852 - 892 páginas
...demonstrate geometrical truths, I asked whether they were perfectly convinced that in a right-angled triangle the square of the hypothenuse is equal to the squares of the other two sides ? He answered in the affirmative. I then asked how they were certain of this fact,... | |
 | Samuel Mosheim Smucker - 1853 - 498 páginas
...proposition that the sum of any two sides of a triangle is greater than the third side ; or the theorem, the square of the hypothenuse is equal to the squares of the other two sides ; and they would never differ in their conceptions of these two truths. But the more... | |
 | Vasiliĭ Mikhaĭlovich Golovnin - 1853 - 326 páginas
...demonstrate geometrical truths, I asked whether they were perfectly convinced that in a right-angled triangle the square of the hypothenuse is equal to the squares of the other two sides ? He answered in the affirmative. I then asked how they were certain of this fact,... | |
 | William Francis Patrick Napier - 1857 - 508 páginas
...people mean fixed feelings or convictions : nothing can be fixed without proof. It is a fixed principle that the square of the hypothenuse is equal to the squares of the other two sides of a right angle triangle ; but to bet on a horse is not so, it is only a fixed feeling... | |
 | Thomas Babington Macaulay Baron Macaulay - 1858 - 780 páginas
...opinions, that there must necessarily be hostile mathematical sects, some affirming and some denying that the square of the hypothenuse is equal to the squares of the sides. But we do not think either the one analogy or the other of the smallest value. Our way of ascertaining... | |
 | Anthony Nesbit - 1859 - 494 páginas
...required side : the required side. When the angles are not required, the side may thus be found : — The square of the hypothenuse is equal to the squares of the sides, whence the square of one side is equal to the difference of the squares of the hypothenuse and of the... | |
 | Daniel Denison Whedon - 1864 - 460 páginas
...in a share of his conclusion and diminish it down to certainty, any more than Euclid may demonstrate that the square of the hypothenuse is equal to the squares of the two opposing sides, and then graciously compound for the conclusion that it is equal to just a square... | |
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... that the square of the hypothenuse is equal to the squares of the sides. 
