 | Isaac Watts - 1754 - 772 страници
...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... | |
 | Ralph Griffiths, George Edward Griffiths - 1818 - 596 страници
...,'.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,... | |
 | 1818 - 594 страници
...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 ?... | |
 | George Gordon Byron Baron Byron - 1821 - 404 страници
...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... | |
 | George Crabb - 1823 - 704 страници
...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.)... | |
 | Voltaire - 1824 - 422 страници
...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... | |
 | Vasiliĭ Mikhaĭlovich Golovnin - 1824 - 372 страници
...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,... | |
 | Vasiliĭ Mikhaĭlovich Golovnin - 1824 - 372 страници
...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,... | |
 | Voltaire - 1824 - 432 страници
...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... | |
 | François de Salignac de La Mothe- Fénelon - 1825 - 302 страници
...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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... 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. 
