 In a right.angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle . . . . 130 Applications of Pythagoras' theorem . . . . 132 THEOREM 6.  A Shorter Geometry - Página xiiiVista previa limitada - Acerca de este libro
 | Henry Lewis Rietz, Arthur Robert Crathorne, Edson Homer Taylor - 1915 - 302 páginas
...per hour. If the round trip takes 6 hours, how long is the path? EQUATIONS AND PROBLEMS [CHAP. IX. In- a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. The hypotenuse is the side opposite the right angle. In Fig.... | |
 | William Charles Popplewell - 1915 - 272 páginas
...first book of Euclid may be made use of in the following way : — This proposition says that in any right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the remaining sides. So that if a triangle be taken whose sides are in the ratio... | |
 | Newfoundland Council of Higher Education - 1915 - 232 páginas
...line through A passes through D, and (ii) when it does not pass through D. (12) 6. Prove that in any right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. A CB is a triangle right-angled at C, and from D the middle... | |
 | John William Angles - 1919 - 200 páginas
...B, and C respectively. Then, from Euclid I., proposition 47 — or c" = 0* + a" In words — -In any right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides. Consequently, if any two sides of a right-angled triangle are... | |
 | Sir Thomas Little Heath - 1920 - 74 páginas
...fundamental principles. Of propositions attributed to him the most famous is, of course, the theorem that in a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the sides about the right angle (Eucl. I., 47) ; and, seeing that Greek tradition... | |
 | William Hepworth, J. Thomas Lee - 1922 - 432 páginas
..._ triangle the square on the hypothenuse, flC-V-2. or side opposite to the right angle, is equal to the sum of the squares on the sides containing the right angle. ¥L, 4. (Fig. 3). Similar triangles are those which have their angles equal each to each, and thus... | |
 | Arthur Warry Siddons, Reginald Thomas Hughes - 1926 - 202 páginas
...PYTHAGORAS, ILLUSTRATIONS OF IDENTITIES, EXTENSIONS OF PYTHAGORAS THE THEOREM OF PYTHAGORAS. THEOREM 29. In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares on the sides containing the right angle. H Data ABC is a triangle, right-angled at A.... | |
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