 | Charles Harrison Lyon - American essays - 1842 - 156 pages
...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 the... | |
 | Dionysius Lardner - Science - 1846 - 664 pages
...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, necessarily... | |
 | Thomas Rainey - Arithmetic - 1849 - 320 pages
...fall outside of the triangle, the line of the base must be produced until it meets the vertical line. The square* of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the base and side. For example ; the base of a right-angled triangle is 8,... | |
 | Thomas Dick - Cosmology - 1850 - 684 pages
...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 angles"—and,... | |
 | Thomas Dick - Astronomy - 1850 - 964 pages
...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 angles" — and,... | |
 | John Radford Young - Measurement - 1850 - 294 pages
...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 these... | |
 | Theology - 1857 - 924 pages
...; just as, in the very nature of things, two and two make four ; the whole is greater than a part ; the square of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides. We find, in the works of Dr. Gill, no allusion to the... | |
 | Charles Anthon - Greek literature - 1853 - 600 pages
...have discovered the propositions that the triangle inscribed in a semicircle is right-angled, and that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides.2 Discoveries in astronomy are also attributed to him ; and there... | |
 | Charles Anthon - Greek literature - 1853 - 610 pages
...have discovered the propositions that the triangle inscribed in a semicircle is right-angled, and that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares on the sides.' Discoveries in astronomy are also attributed to him ; and there... | |
 | Thomas Dick - 1857 - 892 pages
...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 angles"—and,... | |
| |
The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. 
