 are a few established truths — truths which no one can doubt ; such as that the three angles of a triangle are equal to two right angles, and the square of the hypothenuse is equal to the squares of the other two sides.  The R.I. Schoolmaster - Page 161862Full view - About this book
 | Ralph Griffiths, George Edward Griffiths - 1818 - 596 pages
...,'.I asked the Japanese academician whether he was 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, and in reply he... | |
 | Voltaire - Philosophy - 1824 - 428 pages
...sides, the areas of the circles will also be proportional to the squares of their radii. •' Thus, as the square of the hypothenuse is equal to the squares of the two sides, a circle, of which this hypothenuse is the radius, 'will be equal to two circles having... | |
 | Voltaire - 1824 - 422 pages
...corresponding sides, the areas of the circles will also be proportional to the squares of their radii. Thus, as the square of the hypothenuse is equal to the squares of the two sides, a circle, of which this hypothenuse is the radius, will be equal to two circles having for... | |
 | François de Salignac de La Mothe- Fénelon - 1825 - 298 pages
...that the morning and evening star was the same, and demonstrated that in every right angled triangle the square of the hypothenuse is equal to the squares of the other two sides. It is said that he was so transported with the discovery of this famous theorem, that believing himself... | |
 | François de Salignac de La Mothe- Fénelon - Philosophers, Ancient - 1825 - 320 pages
...that the morning and evening star was the same, and demonstrated that in every right angled triangle the square of the hypothenuse is equal to the squares of the other two sides. It is said that he was so transported with the discovery of this famous theorem, that believing himself... | |
 | 1825 - 518 pages
...attribute to a merely casual concurrence ; it would in reality be quite as unreasonable as to deny that the square of the hypothenuse is equal to the squares of the two other sides. This is, however, all for which we contend; namely, that moral evidence is sometimes... | |
 | 1825 - 518 pages
...attribute to a merely casual concurrence ; it would in reality be quite as unreasonable as to deny that the square of the hypothenuse is equal to the squares of the two other sides. This is, however, all for which we contend; namely, that moral evidence is sometimes... | |
 | David Hume - Philosophy - 1826 - 626 pages
...proceeds entirely from the undeterminate meaning of words, which is corrected by juster definitions. That the square of the hypothenuse is equal to the squares of the other two sides, cannot be known, let the terms be ever so exactly defined, without a train of reasoning and inquiry.... | |
 | David Hume - 1826 - 628 pages
...proceeds entirely from the undeterminate meaning of words, which is corrected by juster definitions. That the square of the hypothenuse is equal to the squares of the other two sides, cannot be known, let the terms be ever so exactly defined, without a train of reasoning and inquiry.... | |
 | Robert Dale Owen - Free thought - 1830 - 228 pages
...acrimony. No mathematician ever impeached the sceptic who should deny that in a right angled triangle the square of the hypothenuse is equal to the squares of the other two sides; he is so thoroughly convinced of the truth of this proposition, that incredulity provokes a smile,... | |
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