 | Grace Lawrence Edgett - Geometry - 1909 - 104 pages
...upon a diameter, the perpendicular is a mean proportional between the segments of the diameter. 2. 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. 3. In a right triangle the square... | |
 | George William Evans - Mathematics - 1911 - 116 pages
...be my excuse for introducing here one of the many modifications of Euclid's proof that the square on the hypotenuse of a right triangle is the sum of the squares on the other two sides. The proof of the Pythagorean theorem can be based on similar triangles or on... | |
 | Charles Lingle Woodfield - Arithmetic - 1917 - 154 pages
...triangles and is the hypotenuse of each of the triangles. The square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides. Subtracting the square of the length of one side from the square of the length of the hypotenuse gives... | |
 | 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... | |
 | 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... | |
 | 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,... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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 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. 
