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" ... in which we live; and there we see that free inquiry on mathematical subjects produces unity, and that free inquiry on moral subjects produces discrepancy. "
The Edinburgh Review: Or Critical Journal - 261. lappuse
1839
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The Posthumous Works ...

Isaac Watts - 1754 - 772 lapas
...and easy of comprehension. What should we think of a mathematician who should say I will not believe that the square of the hypothenuse is equal to the squares of the sides of a right-angled triangle unless I have ocular demonstration of the facts ? And what do we think of...
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Monthly Review; Or Literary Journal Enlarged

Ralph Griffiths, George Edward Griffiths - 1818 - 596 lapas
...,'.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,...
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The British Review, and London Critical Journal, 11. sējums

1818 - 594 lapas
...demonstrate geometrical truths, I asked whether they were perfectly convinced that in a rightangled 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 ?...
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Lord Byron's Works ...

George Gordon Byron Baron Byron - 1821 - 404 lapas
...the schools is of the CANINE SPECIES , and not very intelligible. (3) The discovery of Pythagoras , that the square of the hypothenuse is equal to the squares of the other two sides of a right angled triangle. Whose daring revels shock the sight, When vice and infamy...
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Universal Technological Dictionary: Or, Familiar Explanations of ..., 2. sējums

George Crabb - 1823 - 704 lapas
...right angle, as BC in the annexed diagram. According to the 47th Proposition ' of Euclid's Elements, the square of the hypothenuse is equal to the squares of the other two sides, as B C1 = BA* -f AC* ie the square BE equal to the squares BGandCH. HYPOTHESIS (Rltet.)...
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A philosophical dictionary, from the Fr. [by J.G. Gurton].

Voltaire - 1824 - 422 lapas
...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...
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Memoirs of a Captivity in Japan, During the Years 1811, 1812, and ..., 2. sējums

Vasiliĭ Mikhaĭlovich Golovnin - 1824 - 372 lapas
...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,...
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Memoirs of a Captivity in Japan, During the Years 1811, 1812, and ..., 2. sējums

Vasiliĭ Mikhaĭlovich Golovnin - 1824 - 372 lapas
...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,...
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A Philosophical Dictionary, 3. sējums

Voltaire - 1824 - 432 lapas
...the ureas 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...
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Lives of the Ancient Philosophers

François de Salignac de La Mothe- Fénelon - 1825 - 302 lapas
...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...
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