| Asa Mahan - Spiritualism - 1855 - 496 pages
...space, that it 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... | |
| John Cumming - Christian life - 1855 - 290 pages
...any kind. If I am proving that any two sides of a triangle are greater than the third side ; or that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides, I am engaged in proving a proposition, that no prejudice, no passion,... | |
| Calvin Kingsley - Resurrection - 1855 - 162 pages
...which is equally distant from a common point? And when it is fairly demonstrated that the square upon the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, can any subsequent progressive knowledge prove this theorem false... | |
| William Dexter Wilson - Logic - 1856 - 464 pages
...have treated as 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 - Logic - 1856 - 456 pages
...have treated as 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... | |
| William Thomson - Logic - 1857 - 416 pages
...been seen in 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 - Philosophy - 1857 - 400 pages
...such 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... | |
| Thomas Dick - 1857 - 892 pages
...extraction of the Square Root; but no figure or explanation is given, excepting the following foot-note. " The square of the hypothenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides." It should be represented as on page 92. In a similar manner should... | |
| James Stewart Eaton - Arithmetic - 1857 - 376 pages
...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... | |
| William Thomson - Logic - 1859 - 366 pages
...been seen in 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... | |
| |