 | Isaac Watts - 1801 - 342 pages
...mathematician assures •A ploughman that the three angles of a triangle are equal to two right angles, or that the square of the hypotenuse of 'a right-angled triangle is equal to the sum of the squares of the two sides; the ploughman, who has but confused ideas of these things,... | |
 | Thomas Dick - 1829 - 308 pages
...thinker, as extremely trivial, and almost unworthy of regard. The properties of a triangle, such as, " that the square of the hypotenuse of a right-angled triangle, is equal to the squares of the other two sides" — " that the three angles of a triangle are equal to two right... | |
 | Thomas Dick - 1836 - 306 pages
...thinker, as extremely trivial, and almost unworthy of regard. The properties of a triangle, such as, " that the square of the hypotenuse of a right-angled triangle is equal to the squares of the other two sides" — "tha-tthe three angles of a triangle are equal to two right... | |
 | Perry Fairfax Nursey - 1839 - 508 pages
...than modern intellect, but it took the wrong path. 2. The evidence of facts in mental inveitigations is internal and cogitative, whilst in those which...square of the hypotenuse of a right-angled triangle, il equal, &c. It was in this part of his subject — for no where else had it any bearing on physical... | |
 | Thomas Dick - 1840 - 298 pages
...thinker, as extremely trivial, and almost unworthy of regard. The properties of a triangle, such as, "that the square of the hypotenuse of a right-angled triangle is equal to the squares of the other two sides" — " tha't the three angles of a triangle are equal to two... | |
 | Charles Harrison Lyon - 1842 - 156 pages
...D. Then we have only to find the hypotenuse of the right-angled triangle BO E. Now it is well known that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. If then we take twice the square of 25, which is... | |
 | Dionysius Lardner - 1846 - 664 pages
...been very extensive, is evident from the ecstasy into which Pythagoras was thrown when he discovered that the square of the hypotenuse of a right-angled triangle is equal to the square of the two sides : for ignorance of this very elementary, but important proposition,... | |
 | Thomas Dick - 1850 - 964 pages
...thinker, as extremely trivial, and almost unworthy of regard. The properties of a triangle, such as, " that the square of the hypotenuse of a right-angled triangle, is equal to the squares of the other two sides"—" that the three angles of a triangle are equal to two right... | |
 | John Radford Young - 1850 - 294 pages
...rightangled triangle, from knowing the third side. It is proved in the 47th Prop, of Enclid's first book, that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the base and perpendicular; and consequently that the square of one of... | |
 | Thomas Dick - 1850 - 684 pages
...thinker, as extremely trivial, and almost unworthy of regard. The properties of a triangle, such as, " that the square of the hypotenuse of a right-angled triangle, is equal to the squares of the other two sides"—" that the three angles of a triangle are equal to two right... | |
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Archimedes; and he who perceived that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides, is not in consequence a Pythagorean. 
