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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 A and BC be... "
Pure Mathematics - Page 233
1874
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

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...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

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...
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The Elements of Euclid

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...
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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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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

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

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

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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory, and N ...

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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