 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 - Σελίδα xiΠεριορισμένη προεπισκόπηση - Σχετικά με αυτό το βιβλίο
 | John William Angles - 1919 - 200 σελίδες
...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 σελίδες
...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 σελίδες
..._ 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 σελίδες
...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.... | |
 | Harry Fawcett Buckley - 1927 - 288 σελίδες
...laid the foundations of Greek geometry. His most famous proposition was, 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 other two sides. He is also supposed to have developed the theory of proportionals.... | |
 | Sylvia Townsend Warner - 1927 - 270 σελίδες
...equation, there they pointed out to each other with admiration that the square on the hypotenuse equalled the sum of the squares on the sides containing the right angle ; here was one delighting in a rhomboid and another in conic sections ; that enraptured figure had... | |
 | Frederick Converse Beach, George Edwin Rines - 1911 - 910 σελίδες
...Pythagore'an Theorem, the 47th proposition of the first book of Euclid's Elements, which shows that in any right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. Pythagore'anism, the philosophical doctrine of the Pythagoreans,... | |
 | Alec Greer, Graham William Taylor - 1982 - 358 σελίδες
...angles equal. g) The sum of the angles of a triangle equal 180°. h) Pythagoras' Theorem states 'In any right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides'. i) Two triangles are congruent if they are equal in every respect.... | |
 | Douglas M. Campbell, John C. Higgins - 1984 - 324 σελίδες
...into the world of what we should now call proof. The Pythagorean proof, described in ihe text, thai in a right-angled triangle the square on the hypotenuse is equal to the tum of the squares on the other two sides. of the L is a square on the longer of the two sides enclosing... | |
 | David Rayner - 1988 - 322 σελίδες
...angles marked. 1. 2. \ \ 3. 6. 69° 65° 90° u 42° 7. / L 8. 77 76° 34° 4.2 PYTHAGORAS' THEOREM In a right-angled triangle /the square on the hypotenuse is equal to the sum of the squares a on the other two sides. Example 1 Find the side marked d. Exercise 4 In questions... | |
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