| Euclid - Geometry - 1845 - 218 pages
...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 - 292 pages
...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... | |
| John Playfair - Euclid's Elements - 1846 - 332 pages
...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 - Geometry - 1846 - 130 pages
...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 - 52 pages
...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 - 396 pages
...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 - 120 pages
...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... | |
| Education - 1851 - 628 pages
...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 - 336 pages
...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 - 152 pages
...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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