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. Let A and BC be... Pure Mathematics - Page 2331874Full view - About this book
| Robert Simson - Trigonometry - 1762 - 466 pages
...of the divided line. Let Book II. Let A and BC be two ftraight lines ; and let BC be divided into t **any parts in the points D, E; the rectangle contained by the** Itraight B DEO LH lines A, BC is equal to the rectangle contained by A, BD ; and to that contained... | |
| Robert Simson - Trigonometry - 1775 - 520 pages
...parts of the divided line. P 3 Let; i i. 1. b 3. i, c 3i. i. LH Book II. Let A and BC be two ftraigln **lines; and let BC be divided into any parts in the points D, E ; the** rechngle contained by the ftraight lines A, BC is equal -jj .p. •« ., to the rectangle contained... | |
| Euclid, Robert Simson - Geometry - 1781 - 466 pages
...divided line. K C Book II. ani b. 3. i. c. Ji. i. 34- i. f. 4j. f k. Ji i. Let A and BC be two ftraight **lines ; and let BC be divided into any parts in the points D, E ; the rectangle contained by the** ftraight lines A, BC is equal to v> f\ -pi f* the rectangle contained by A, BDi "* and to that contained... | |
| Alexander Ingram - Trigonometry - 1799 - 351 pages
...undivided line, and the feveral parts cf the divided line. Let BOOK. II. . Let A and BC be two ftraight **lines ; and let BC be divided into any parts in the points D, E ; the** reftangle contained by the ftraight lines A, BC is equal to BD £ </ the reftangle contained by A,... | |
| Robert Simson - Trigonometry - 1804
...divided line, . Book n. Book II. b. 3. I. e. 31. I. 34. a. 4$. i. b. 31. i. Let A and BC be two ftraight **lines; and let BC be divided into any parts in the points D, E ; the rectangle contained by the** ftraight lines A, BC is equal to— TV ~I7 C*' the reftangle contained by A, BD;-" -*^- ** » A/ and... | |
| John Playfair - Euclid's Elements - 1804 - 440 pages
...contained by the undivided line, and the feveral parts of the divided line. Let A and BC be two ftraight **lines ; and let BC be divided into any parts in the points D, E ; the** reftangle A.BC is equal to the feveral reftangles A.BD, A.DE, A.EC. From. the point B draw a JJ DEC... | |
| John Playfair - Euclid's Elements - 1806 - 311 pages
...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...into any parts in the points D, E ; the rectangle** A.BC is equal to the several rectangles' A.BD, A.DE, A.EC. all. 1." From the point B drawa -^ TV -tn... | |
| Euclid, Robert Simson - Euclid's Elements - 1806 - 518 pages
...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.** D K H Book II. Let A and BC be two straight lines ; and let BC be divided *— Y— - ' into any parts... | |
| Euclid - Geometry - 1810 - 518 pages
...the rectangles contained by the undivided tine, and the parts of the divided line. K H Book H. Lijt **A and BC be two straight lines; and let BC be divided** ILJ~V~«_I into any parts in the points D, E ; the rectangle contained by the straight lines A, BC... | |
| John Mason Good, Olinthus Gilbert Gregory - 1813
...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.** Prop. II. Theor. If a straight line be divided înto any two parts, the rectangles contained by the... | |
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