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" 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... "
The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ... - Page 40
by Robert Simson - 1827 - 513 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 466 pages
...lines, one of which is divided into any number of parts; the re&angle contained by the two ftraight lines, is equal to the rectangles contained by the undivided line, and the feveral parts of the divided line. Let Book II. Let A and BC be two ftraight lines ; and let BC be...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 520 pages
...lines, one of which is divided into any number of parts i the rectangle contained by the two ftraight lines, is equal to the rectangles contained by the undivided line, and the feveral 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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 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...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
...lines, one of which is divided into any number of parts ; the rectangle contained by the two ftraight lines, is equal to the rectangles contained by the undivided line, and the feveral parts of the divided line. D 2 Let J G L I • BOO FINI K II. TION DE S. Book • II. i b3....
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 309 pages
...lines, and one of them be cut into any number of fegments ; the rectangle contained by the two ftraight lines is equal to the rectangles contained by the undivided line and each of the fegments of the divided line. Let there be two ftraight lines A, BC , and let BC be cut...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

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,...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Circle-squaring - 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...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...lines, one of which is divided into any number of parts ; the rectangle contained by the two ftraight lines, is. equal to the rectangles contained by the undivided line, and the feveral parts of the divided line, . Book n. Book II. b. 3. I. e. 31. I. 34. a. 4$. i. b. 31. i. Let...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 pages
...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...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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...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...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...
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