| Edward L. Bates, Frederick Charlesworth - Geometry - 1912 - 621 pages
...proportional between AD and AC. ie, if squares be constructed on the hypotenuse, and the two sides of a **right-angled triangle, the square on the hypotenuse is equal to the sum** of the squares on the two sides. ie, BC is a mean proportional between DC and AC. (iv.) Since, AB2... | |
| Henry Lewis Rietz, Arthur Robert Orathorne, Edson Homer Taylor - Algebra - 1915
...same path at the rate of 4 miles per hour. If the round trip takes 6 hours, how long is the path? 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.... | |
| Henry Lewis Rietz - 1915
...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.... | |
| Sir Thomas Little Heath - Geometry - 1920 - 58 pages
...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... | |
| Frederick Converse Beach, George Edwin Rines - Encyclopedias and dictionaries - 1911
...individuality. 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 - Juvenile Nonfiction - 1982 - 352 pages
...the angle A, b lies opposite the angle B and c lies opposite the angle C. 214 215 PYTHAGORAS' THEOREM **In any right-angled triangle the square on the hypotenuse is equal to the sum** of the squares on the other two sides. In the diagram (Fig. 15.8) or AC2 = AB2 + BC2 b2 = a2 + c2 The... | |
| David Rayner - Mathematics - 1988 - 316 pages
...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... | |
| Alec Greer - Engineering - 1989 - 100 pages
...(all sides and all angles equal) The sum of the angles of a triangle equals 180° Pythagoras' In a **right-angled triangle the square on the hypotenuse is equal to the sum** of theorem the squares on the other two sides. 190 (The hypotenuse lies opposite to the right-angle)... | |
| ...interior angles is 180' an exterior angle is equal to the sum of the interior opposite angles. x+y In a **right-angled triangle, the square on the hypotenuse is equal to the sum** of the squares on the other two sides. = x-+y For any polygon, the sum of the exterior angles is 360°.... | |
| Archie Drummond, Anne Coles-Mogford - Typewriting - 1994 - 228 pages
...x = £378 Simplify: - * - * * H - 1 2 Type the following exercise on a sheet of A5 landscape paper. **In any right-angled triangle, the square on the hypotenuse is equal to the sum** of the squares on the other 2 sides. Hypotenuse = v perpendicular2 + base2 H = /p2 * b2 Footnotes and... | |
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