 Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.  Plane and Solid Geometry - Page 158by Elmer Adelbert Lyman - 1908 - 340 pagesFull view - About this book
 | Education - 1866 - 538 pages
...proficiency exhibited bv Miss Emmaretta Williams, who demonstrated the beautiful I'ythagor'ean theorem, "The square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides." Miss Lizzie Trull and Mr, Allison also deserve especial... | |
 | Joseph Ray - Arithmetic - 1857 - 358 pages
...BC the perpendicular, and AC the hypotenuse. ART. 290. It is a known principle, that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. REVIEW. — 287. What is tho rule for square root? NOTES. How proceed... | |
 | Emerson Elbridge White - Arithmetic - 1870 - 350 pages
...sides are called the Base and the Perpendicular. (Art. 155.) 419. PRINCIPLES. — 1. The square of the hypotenuse of a, right-angled triangle is equal to the sum of the squares of the other two sides. This principle, which may be proven by geometry, is illustrated... | |
 | Shelton Palmer Sanford - Arithmetic - 1872 - 404 pages
...perpendicular, and BC the hypotenuse. ART. 336. It is an established princijJe af Geometry that the square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. This is illustrated by the diagram B on the right. By counting... | |
 | James Gracey Murphy - Brain - 1873 - 360 pages
...which is in fact the synthesis of that which has been duly analysed. The theorem that the square of the hypotenuse of a right-angled triangle is equal to the sum of th' e squares of the other two sides may be regarded as the crowning achievement of the first book... | |
 | Daniel W. Fish - 1874 - 320 pages
...use of the following principle, which is demonstrated in geometry. 423. PRINCIPLE. — The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. WRITTEN EXERCISES. 1. The two sides of a right-angled triangle... | |
 | John Homer French - Arithmetic - 1876 - 358 pages
...but the illustration is not an analysis of the principle. Geometrical ^Principles. I. The square of the hypotenuse of a rightangled triangle is equal to the sum of the squares of the other two sides. II. The diameter of a circle : the circumference : : 113 : 855.... | |
 | Joseph Ray - Arithmetic - 1877 - 350 pages
...400. 20. 3. 36. 6. 7. 1764. 42. 4. 100. 10. 8. 5184. 72. 5. 225. 15. 9. 3025. 55. 4. Proposition. — The square described on the hypotenuse of a right-angled triangle is equal to the sum of the squares described on the other two sides. Draw a right-angled triangle, ABC, with the side BC 4... | |
 | William James Milne - Arithmetic - 1877 - 402 pages
...sides of a rightangled triangle is expressed thus: 529. PRINCIPLES.— 1. The square described upon the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. 2. The square on either of tie When the number of square units... | |
 | Frederic William Bardwell - Arithmetic - 1878 - 416 pages
...applications in problems of mensuration : The area of the square constructed on the hypothenwte of a right-angled triangle is equal to the sum of the areas of the squares constructed on the other two sides. In Fig. 15, let ABC be any right triangle, right angled at A, and... | |
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