| Euclid - 1845 - Liczba stron: 218
...make the gnomon.' PROPOSITION I. THEOB. — If there be two straight lines, one of which is divided into any number of parts; the rectangle contained...lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC be two straight lines ; and... | |
| Euclides - 1846 - Liczba stron: 292
...parallelograms which make the gnomon. PROP. I. THBOB. If there be two straight lines, one of which is divided into any number of parts, the rectangle contained...lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC be two straight lines, and... | |
| Euclid, John Playfair - 1846 - Liczba stron: 334
...49 JJ ' DEC ~ — • -- ' PROP. I. THEOR. If there be two straight lines, one of which is divided into any number of parts ; the rectangle contained...lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC be two straight lines ; and... | |
| Great Britain. Admiralty - 1846 - Liczba stron: 128
...expressed by the words " rectangle of AB and AD j" or by " AB . AD." PROP. XLI. THEOR. 1. 2 En. angle contained by the two straight lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC be two str. lines, and let... | |
| Euclides - 1848 - Liczba stron: 52
...a gnomon. PROPOSITIONS. PROP. I. THEOREM. IP there be tvvo straight lines, one of which is divided into any number of parts ; the rectangle contained...lines, is equal to the rectangles contained by the undivided line, and the several parts of the divided line. PROP. II. THEOREM. If a straight line be... | |
| Bengal council of educ - 1848 - Liczba stron: 394
...straight line from one extremity of the same. 3. If there be two straight lines, one of which is divided into any number of parts ; the rectangle contained...lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Hence prove that the area of a rectangle... | |
| Euclid, Thomas Tate - 1849 - Liczba stron: 120
...lines is equal to three times the rectangle under either of them and a third of the other. 4. If two lines be divided, each into any number of parts, the rectangle contained by the two lines, is equal to the sum of the rectangles contained by the several parts of the one and the several... | |
| 1851 - Liczba stron: 626
...straight line from ORC extremity of the same. 3. If there be two straight lines, one of which is divided into any number of parts ; the rectangle contained...lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Hence prove that the area of a rectangle... | |
| 1867 - Liczba stron: 336
...geometrical uses of the term " rectangle " P If there be two straight lines, one of which is divided into any number of parts ; the rectangle contained by the two straight lines, is equal to the rectangle contained by the undivided line, and tho several parts of the divided line. 2. If a straight... | |
| Euclides - 1852 - Liczba stron: 152
...the diameter.] F,<*" BOOK IL PROP. T. THEOR. If there be two straight lines, one of which is divided into any number of parts, the rectangle contained...lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and EC be two straight lines ; and... | |
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