 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 344 pages
...= 2. RELATION BETWEEN THE SIDES OF A RIGHT TRIANGLE 222. THEOREM 110. The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. FIG. 327 Hypothesis: AABC is any right triangle with ZC a rt. Z , c the hypotenuse, and a and b the... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...a2 = q - c. By adding a2 + 62 = c (p + q), or a2 + ft2 = c2. QED 327. COR. The square of either arm of a right triangle is equal to the square of the hypotenuse, diminished by the square of the other arm. Ex. 922. Find the hypotenuse of a right triangle whose arms... | |
 | William Ledley Vosburgh, William Frederick Gentleman - Mathematics - 1918 - 232 pages
...= the other leg (in linear units). 17. Write the formula for the statement : The square of one leg of a right triangle is equal to the square of the hypotenuse minus the square of the other leg. (Use the same letters as in Ex. 16.) 18. The two legs of a right... | |
 | New York (N.Y.). Board of Education - American periodicals - 1955 - 764 pages
...opposition to new and progressive ideas. When Pythagoras discovered that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse, he was so overjoyed that he offered a hecatomb, or 100 oxen, in gratitude to the gods. Ever since,... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...the whole hypotenuse and the segment adjacent to that leg. THEOREM 110. The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse. _ THEOREM 111. If one side of a square is s,_its diagonal is W2 . If the diagonal of a square is d,... | |
 | John Michael Christman - Machine-shop practice - 1922 - 408 pages
...XX PYTHAGOREAN THEOREM 146. The following is the proof that the sum of the squares of the two sides of a right triangle is equal to the square of the hypotenuse. This is called the Pythagorean theorem. Fig. 1 Fig. 187 In Fig. 187, the total area of Fig. 1 is equal... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 476 pages
...BD are altitudes on the sides BC and AC respectively. Prove that —— = —— • 7. The product of the two legs of a right triangle is equal to the product of the hypotenuse and the perpendicular from the vertex of the right angle upon the hypotenuse.... | |
 | Raleigh Schorling, William David Reeve - Mathematics - 1922 - 460 pages
...addition. 5. By factoring. 6. Obvious. AREAS 463. Corollary 1. The square of the length of either leg of a right triangle is equal to the square of the hypotenuse minus the square of the other leg. 464. Various methods of proving the Pythagorean theorem. There are... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...given line. (HINT. aV2= V(2a) -a). PROPOSITION XXXV. THEOREM 326. The sum, of the squares of the arms of a right triangle is equal to the square of the hypotenuse. Given ABC a rt. A, having its rt. Z. at C. To prove a2 + 62 = c2. ' Proof. Draw CD _L AB, and denote... | |
 | 1924 - 368 pages
...right triangle. From them we get these two important principles : The sum of the squares of the arms of a right triangle is equal to the square of the hypotenuse. The square of either arm is equal to the square of the hypotenuse minus the square of the other arm.... | |
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Pythagorean theorem, which states that the sum of the squares of the sides of a right triangle is equal to the square of the hypotenuse. 
