 | Thomas Lund - Geometry - 1854 - 520 pages
...can be used sometimes conveniently for constructing a right angle. For from (43, Part I.) we know, that the square of the hypothenus'e is equal to the sum of the squares of the other sides in a right-angled triangle. Take, then, 12 links of the chain, and having... | |
 | Thomas Kentish - Mathematical instruments - 1854 - 268 pages
...29, and raise a perpendicular BC = 17. Join AB; apply it to the scale, and it will be found 33.6. For the square of the hypothenuse is equal to the sum of the squares of the base and perpendicular. It- is required to find the diameter of a copper, that, being... | |
 | George Ticknor Curtis - Patent laws and legislation - 1854 - 718 pages
...truths of exact science ; as the well-known propositions of geometry, that, in a right-angled triangle, the square of the hypothenuse is equal to the sum of the squares of the opposite sides ; that the angle at the centre of a circle is double the angle at the... | |
 | James William M'Gauley - 1854 - 284 pages
...of the hypothenuse and the other small «2 _ nZ side b is *, b is equal to — — - — For, since the square of the hypothenuse is equal to the sum of the squares of the small sides, 2sb=s2— a2 6=£2_o2 26. If the diagonal of a rectangle is c, and the... | |
 | Benjamin Greenleaf - 1854 - 342 pages
...the hypothenuse, and the angle at B is a right angle. Base. ART. 272. In every right angled triangle the square of the hypothenuse is equal to the sum of the squares of the base and perpendicular, as shown by the following diagram. It will be seen by examining... | |
 | Samuel Pedley - 1879 - 402 pages
...yds. ? (3) What is the length of a square field containing an acre ? (4) In any right-angled triangle the square of the hypothenuse is equal to the sum of the squares of the other two sides : find the area of a square field whose diagonal (ie a, straight line... | |
 | Charles Edwin Röbert - African Americans - 1880 - 186 pages
...sweetest strains, and here Pythagoras learned from the Egyptian priests—" in the land of Ham" the fact that "the square of the hypothenuse is equal to the sum of the squares of the two other sides." ' Here, too, in later times were built the cities of Alexandria and... | |
 | Education - 1885 - 696 pages
...propositions, which are apparently quite unrelated to it. Thus the famous property of a right-angled triangle, that the square of the hypothenuse is equal to the sum of the squares of the other two sides, may be readily deduced from certain general properties of triangles... | |
 | William Findlay Shunk - Railroad engineering - 1880 - 362 pages
...in its application. 2. When two of the sides are given, the third may be found by means of the rule that the square of the hypothenuse is equal to the sum of the squares of the remaining sides. 3. Another method for solving right-angled triangles is as follows:... | |
 | Alexis Claude Clairaut - 1881 - 184 pages
...hypothenuse of the right-angled triangle, we readily discover that famous property of right-angled triangles that the square of the hypothenuse is equal to the sum of the squares on the two other sides. 19. If, then, of two squares, HDLK and AB c D, we desired to make one... | |
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... the square of the hypothenuse is equal to the sum of the squares of the other two sides. 
