 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 rectangles contained by the undivided line, and the several parts of the divided line.  A Supplement to the Elements of Euclid - Page 92by Daniel Cresswell - 1819 - 410 pagesFull view - About this book
 | Euclides - 1845 - 544 pages
...which make the gnomon." PROPOSITION I. THEOREM. If there be imo 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... | |
 | 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... | |
 | 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... | |
 | Bengal council of educ - 1848 - 394 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... | |
 | 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... | |
 | 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 - 626 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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