 | Paul I. Thomas - Architecture - 1986 - 352 pages
...sides. Rule of Pythagoras for Right Triangles The square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Illustrative Example 52 = 32 + 42 25 = 9 +16 25 = 25 By means of this formula if any two sides of a... | |
 | Gerald E. Sherwood - Government publications - 1989 - 272 pages
...theorem states that, in a right triangle, the length of the hypotenuse (C) is equal to the square root of the sum of the squares of the lengths of the other two sides (A and B). C = V(A2 + B2) Applying this to footing layout begins by squaring the length of each of... | |
 | D. E. Mungello - Religion - 1988 - 418 pages
...a2 + b2 (The square of the length of the hypotenuse or longest side of a right triangle is equal to the sum of the squares of the lengths of the other two sides of the triangle.). This is known not from history, observation or induction, but from deduction. Leibniz'... | |
 | Richard S. Millman, George D. Parker - Mathematics - 1993 - 394 pages
...Pythagorean Theorem. This theorem (which states that the square of the length of the hypotenuse is the sum of the squares of the lengths of the other two sides) is very much a Euclidean theorem. That is, it is true in the Euclidean Plane but not in all neutral... | |
 | Lawrence Sklar - Science - 1992 - 262 pages
...such truths are that doubling the length of a side of a square multiplies its area by four, and that the square of the length of the hypotenuse of a right...the squares of the lengths of the other two sides. These and the other claims of geometry had a clarity and certainty not present in any other kind of... | |
 | Thomas Banchoff, John Wermer - Mathematics - 1993 - 324 pages
...X + |X|2 - |U|2 + |X|2 - 2|U| |X|cos(0 - </>). (21) Thus, the square of the length of one side of a triangle is the sum of the squares of the lengths of the other two sides minus twice the product of those lengths and the cosine of the angle between them. This result is known... | |
 | Robert E. Moyer - Mathematics - 1998 - 246 pages
...three vertices of the triangle. A If the square of the length of one side c of a triangle is equal to the sum of the squares of the lengths of the other two sides a and b of the triangle, ie, c2 = a2 + b2, then the triangle is a right triangle. A The area AT of... | |
 | Donald R. Smith - Mathematics - 1998 - 406 pages
...geodesic triangle; L* = (a -AS), + (Ar), Figure 14 }TAe square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides of a right triangle. geodesic triangles on the cylinder. This result can be obtained alternatively... | |
 | Kenneth Parker - British - 1999 - 304 pages
...theorem whieh states that the square on the length of the hypotenuse of a right-angled triangle equals the sum of the squares of the lengths of the other two sides. Pythagoreans were skilled mathematieians who influeneed Euelid. Raehel Daughter of Laban and Jaeob's... | |
 | John Carroll - House & Home - 1999 - 164 pages
...perhaps the most useful theorem in all of mathematics for builders. The Pythagorean Theorem holds that "the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of The Pythagorean Theorem b' = h> Hypotenuse (h) 286.775 144 248 Altitude... | |
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The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other two sides. 
