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" 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 - 16 ページ
1862
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Monthly Review; Or Literary Journal Enlarged

Ralph Griffiths, George Edward Griffiths - 1818 - 596 ページ
...,'.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...

A Philosophical Dictionary, 第 3 巻

Voltaire - 1824 - 428 ページ
...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...

A philosophical dictionary, from the Fr. [by J.G. Gurton].

Voltaire - 1824 - 422 ページ
...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...

Lives of the Ancient Philosophers. With a life of the author

François de Salignac de La Mothe- Fénelon - 1825 - 298 ページ
...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...

Lives of the Ancient Philosophers

François de Salignac de La Mothe- Fénelon - 1825 - 320 ページ
...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...

The Oxford quarterly magazine

1825 - 518 ページ
...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...

The Oxford quarterly magazine

1825 - 518 ページ
...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...

The Philosophical Works of David Hume ...: An inquiry concerning the human ...

David Hume - 1826 - 626 ページ
...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....

The Philosophical Works of David Hume ...

David Hume - 1826 - 628 ページ
...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....

Popular Tracts, 第 1 号

Robert Dale Owen - 1830 - 228 ページ
...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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