 | George Wentworth, David Eugene Smith, Joseph Clifton Brown - Mathematics - 1918 - 300 pages
...PYTHAGOREAN THEOREM 133. Pythagorean Theorem. You have learned from arithmetic or from Book I that the square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides, but the fact was hot then proved. We shall now prove the statement true for... | |
 | Herbert Ellsworth Slaught - 1918 - 344 pages
...6 ^^ ^ ' — • ^ _< PLANE GEOMETRY: BOOK IV THE PYTHAGOREAN THEOREM 422. THEOREM VII. The square on the hypotenuse of a right triangle is equivalent to the sum, of the squares on the other two sides. LE Given the rt. A ABC with squares I, II, and III on the hypotenuse and two... | |
 | Marquis Joseph Newell - 1920 - 424 pages
...other. Find the three sides of the triangle. Suggestion. Use the Pythagorean Proposition. The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 39. A rectangle is 4 inches longer than it is wide and its area is 45 sq. in.... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...altitudes, the triangle is equivalent to half the parallelogramTHEOREM 118. The square constructed on the hypotenuse of a right triangle is equivalent to the sum of the squares constructed on the other two sides. The length or the circumference of a circle is defined as the limit... | |
 | David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...Italy. He is said to have been the first to demonstrate the proposition in geometry that the square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 317.' Euclid. The first great textbook on geometry, and the most famous one... | |
 | David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...Italy. He is said to have been the first to demonstrate the proposition in geometry that the square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 270. Euclid. The first great textbook on geometry, and the most famous one... | |
 | Newton Henry Black - Physics - 1923 - 264 pages
...accuracy of these measurements, let us apply the well-known Pythagorean theorem in geometry: The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the two sides. That is, ZB 2 = •AC + BC* Compute the length of the side AB from the above equation... | |
 | Lucio Russo, Silvio (translator) Levy - Science - 2003 - 516 pages
...followed by the demonstration alone. One famous theorem, for example, states that the square built on the hypotenuse of a right triangle is equivalent to the sum of the squares built on the other two sides.31 In the Elements this theorem is immediately preceded by the problem... | |
 | Education - 1896 - 606 pages
...is, a segment any angle described in which shall be equal to a given angle. 8. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares described on the other two sides. Prove. PHYSICS.— 1. Define physics, matter, molecule, atom, physical... | |
 | Education - 1911 - 772 pages
...any prism is equal to the product of the area of the base by the altitude. 8. The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares of the other two sides. 9. The bisectors of the angles of a triangle meet in a point which is equidistant... | |
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The square described on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 
