 | James Elliot - 1851 - 152 pages
...rectangle equal to any regular hexagon previously constructed. 136 PROPOSITION LXVI. THEOREM. The Square described on the Hypothenuse of a right-angled Triangle is equal to the Sum of the Squares described on the two other Sides. Let ABC be a rightangled triangle, and let AD be a square... | |
 | 1851 - 730 pages
...contained angles equal, prove that the triangles will be equal in every respect. 8. The square constructed on the hypothenuse of a right-angled triangle is equal to the sum of the squares constructed on the sides which contain the right angle. 9. If any point in the circumference... | |
 | j. stevenson bushnan, m.d. - 1851 - 206 pages
...greater than its part; of the latter description we have an example in the proposition that the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the two sides, and in all other mathematical truths that are not at once apparent. And,... | |
 | Justus Freiherr von Liebig - Chemistry - 1851 - 576 pages
...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, else why did the discoverer sacrifice... | |
 | Homersham Cox - Calculus, Integral - 1852 - 156 pages
...following passage in Dr. Button.s Mathematical Dictionary. In reference to the theorem that the square on the hypothenuse of a right-angled triangle is equal to the sum of the squares on the sides, it is remarked, that " Plutarch even doubts whether such a sacrifice was... | |
 | John Cumming - Bible - 1854 - 496 pages
...; any two sides of a triangle are together greater than the third side, is a truth ; the square of the hypothenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, is a truth ; but you may be successful in the world, and enter... | |
 | John Cumming - Christian life - 1855 - 290 pages
...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,... | |
 | Asa Mahan - Spiritualism - 1855 - 496 pages
...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... | |
 | 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
...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... | |
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The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides. 
