 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...founded a school at Crotona, in Italy. In geometry he is said to have been the first to demonstrate the proposition that the square on the hypotenuse of a...triangle is equivalent to the sum of the squares on the other two sides. Euclid. The first great textbook on geometry, and the most famous one that has... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...founded a school at Crotona, in Italy. In geometry he is said to have been the first to demonstrate the proposition that the square on the hypotenuse of a...triangle is equivalent to the sum of the squares on the other two sides. Euclid. The first great textbook on geometry, and the most famous one that has... | |
 | George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...founded a school at Crotona, in Italy. In geometry he is said to have been the first to demonstrate the proposition that the square on the hypotenuse of a...triangle is equivalent to the sum of the squares on the other two sides. Euclid. The first great textbook on geometry, and the most famous one that has... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...each other as the squares of any two corresponding lines. 196. Theorem VI. The Pythagorean Theorem. The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the two sides. 197. Corollary 1. The square on either side of a right triangle is equivalent to the... | |
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...into two equal parts ? Aug. 1 : (V2 - 1). AREAS [IV, § 196 196. Theorem VI. The Pythagorean Theorem. The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the two sides. Given the rt. A ABC having AB as its hypotenuse. To prove that Alf = AC* + BC2. First... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 378 pages
...may be divided into two equal parts ? Ans. 1 : (V2 - 1). 196. Theorem VI. The Pythagorean Theorem. The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the two sides. Fio. 136 1 / / ( / n f 1 1 1 1 1 1 GH Given the rt. A ABC having AB as its hypotenuse.... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry, Plane - 1915 - 320 pages
...inches. Find the ratio of their areas. 164 165 THEOREM OF PYTHAGORAS 376. Theorem. The square constructed on the hypotenuse of a right triangle is equivalent to the sum of the squares constructed on the other two sides. Given rt.AABC, the hypotenuse c, and the other two sides, a and... | |
 | Jacob William Albert Young, Lambert Lincoln Jackson - Geometry, Plane - 1916 - 328 pages
...an equilateral triangle each of whose sides is 2v3 yd. 30. The equilateral triangle constructed upon the hypotenuse of a right triangle is equivalent to the sum 'of the equilateral triangles constructed upon the other sides of the triangle. 31. The area of a rhombus is... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Plane - 1917 - 330 pages
...3. §352. 4. §352, Ax. 1. 5. Ax. 1. 6. § 289, Ax. 1. 7. Ax. 7. QED 7 PROPOSITION X. THEOREM 355, The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. Given AD the square on AC the hypotenuse of the rt. A ABU, and BF and BK the squares... | |
 | Fletcher Durell, Elmer Ellsworth Arnold - Geometry, Solid - 1917 - 220 pages
...areas of two similar triangles are to each other as the squares of any two corresponding sides. 355. The square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 356. The' square on either leg of a right triangle is equivalent to the square... | |
| |
In geometry he is said to have been the first to demonstrate the proposition that the square on the hypotenuse of a right triangle is equivalent to the sum of the squares on the other two sides. 
