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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. "
Chauvenet's Treatise on Elementary Geometry - Page 117
by William Chauvenet, William Elwood Byerly - 1887 - 322 pages
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Machinists' and Draftsmen's Handbook: Containing Tables, Rules and Formulas ...

Peder Lobben - Mechanical engineering - 1922 - 512 pages
...sides are called the base and perpendicular. The square of the length of the hypothenuse is equal to the sum of the squares of the lengths of the other two sides. ( See Fig. 5). From this law the third side of a right-angled triangle can always be found, when the...
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General Mathematics, Book 2

Raleigh Schorling, William David Reeve - Mathematics - 1922 - 476 pages
...definitions above, find the sine, cosine, and tangent of 150° ; of 120° ; of 135°. 462. Theorem. 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. o FIG. 441 Given the right triangle...
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Mathematics in Western Culture

Morris Kline - Mathematics - 1964 - 513 pages
...the sides of a right triangle, that is, that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides, is commonly known as the Pythagorean theorem. To the Babylonians and Egyptians the fact, if not a proof,...
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Atomic Pioneers: From ancient Greece to the 19th century

Ray Eldon Hiebert, Roselyn Hiebert - Physicists - 1970 - 74 pages
...music. He is most famous for his Pythagorean theorem, which is well known to all geometry students. (The square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of its sides.) Some earlier Greek philosophers believed...
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Space, Time, and Spacetime

Lawrence Sklar - Philosophy - 1977 - 444 pages
...as the fact that the sum of the interior angles of a triangle is equal to a straight angle, and that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of its sides—and is the primary material treated in...
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Mathematics: The Loss of Certainty

Morris Kline - Mathematics - 1982 - 380 pages
...treated geometrically. For example, Euclid states the Pythagorean theorem in the form, the square on the hypotenuse of a right triangle is the sum of the squares on the arms. And by the sum of the squares he meant that the two areas geometrically combined equalled...
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Discovering Relativity for Yourself

Lilley - Science - 1981 - 454 pages
...Theorem, states that In any right-angled triangle the square of the length of the longest side is equal to the sum of the squares of the lengths of the other two sides. (The sum of two or more numbers or quantities is what you get by adding them.) Putting it less formally,...
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The Math Detective

Emest Woodward, Ernest Woodward - Education - 1983 - 192 pages
...the LEGS. The PYTHAGOREAN THEOREM states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. For instance, in the triangle below, the length of the hypotenuse is c and the length of the legs are...
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Geometry - Plane, Solid and Analytic Problem Solver

Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...Pythagorean Theorem, which states that if the square of the length of one side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle. Let x = 17, the longest side of the triangle and let y = 8 and...
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The Pre-calculus Problem Solver

Max Fogiel, Research and Education Association - Mathematics - 1984 - 1112 pages
...Pythagorean Theorem, which states that if the square of the length of one side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle. Let x = 17, the longest side of the triangle and let y = 8 and...
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