| Asa Mahan - 1855 - 496 σελίδες
...has here. Swedenborgianism, then, is as demonstrably false, as the proposition that the square •of the hypothenuse of a right-angled triangle is equal to the sum of the squares of its two sides, is demonstrably true, and we are no more liable to err, in affirming... | |
| William Dexter Wilson - 1856 - 464 σελίδες
...one of the Methods of Proof. Thus, I may learn at tirstfrom actual measurement, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two other sides, and then prove it as a necessary and invariable property of all... | |
| William Dexter Wilson - 1856 - 456 σελίδες
...one of the Methods of Proof. Thus, I may learn at first from actual measurement, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two other sides, and then prove it as a necessary and invariable property of all... | |
| James Stewart Eaton - 1857 - 376 σελίδες
...two circles are to each other as the squares of their radii, diameters or circumferences. FIG. 12. 6. The square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. This will be seen by counting the small squares in the... | |
| Thomas Dick - 1857 - 892 σελίδες
...branches of mathematical and physical science. That " a whole is greater than any of its parts,"—that " the square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on its remaining sides," are facts, the one deduced from observation or simple... | |
| William Thomson - 1857 - 416 σελίδες
...practical examples, before the science was established by abstract reasoning. Thus, that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, was an experimental discovery, or why did the discoverer sacrifice... | |
| Asa Mahan - 1857 - 400 σελίδες
...propositions as the following? "Things equal to the same things are equal to one another," — " The square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides," — "6+4=10," — "X=Z,"&c.? The whole science of logic has been constructed... | |
| James Bates Thomson - 1858 - 400 σελίδες
...other two sirtes called? 356. The square described on the hypothenuse of a rightangled triangle, is equal to the sum of the squares described on the other two sides. (Thomson's Legendre's Оеош. В. IV. 11.) OBS. The truth of this proposition may be seen from the following... | |
| Dugald Stewart - 1859 - 508 σελίδες
...intuition, which implies ease and instantaneousness of operation. Take the geometrical theorem, that the square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the two other sides ; it is proved by a series of propositions, the connection of each... | |
| John Daniel Runkle - 1859 - 460 σελίδες
...n is infinitely great DEMONSTRATION OF THE PYTHAGOREAN PROPOSITION. ВТ .1ЛМ1.Ч EDWAKD OLIVES. The square described on the hypothenuse of a right-angled triangle is equal to the sum of the squares described on the other ¿wo sides. Drop a perpendicular from the right angle to the hypothenuse,... | |
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