 | Charles Harrison Lyon - American essays - 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 the length in... | |
 | Dionysius Lardner - Science - 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, 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, the side... | |
 | John Radford Young - Measurement - 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 these latter... | |
 | Thomas Dick - Astronomy - 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... | |
 | Thomas Dick - Cosmology - 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... | |
 | 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 Utilitarian... | |
 | Charles Anthon - Greek literature - 1853 - 610 pages
...to 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 can be little... | |
 | Charles Anthon - Greek literature - 1853 - 608 pages
...to 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 can be little... | |
 | Joseph Ray - Arithmetic - 1857 - 348 pages
...AB being tho base, BC the perpendicular, and A 0 the hypotenuse. ART. 290. It is a known principle, that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. REVIEW. — 287. What is the rule for sqnaro root? NOTES. Flow... | |
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Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. 
