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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: With Dissertations Intended to Assist and Encourage ... - Page 47
by Euclid, James Williamson - 1781 - 309 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...THE OR. r there be two ftraight 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...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...gnomon.' PRO PI THEO R. IF there be two ftraight lines, one of which is divided into any number of parts i the rectangle contained by the two ftraight lines,...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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...THEO R. TF there be two ftraight lines, one of which is divid•*• ed into any number of parts ; the rectangle contained by the two ftraight lines,...the rectangles contained by the undivided line, and the feyeral parts of the divided line. K C Book II. ani b. 3. i. c. Ji. i. 34- i. f. 4j. f k. Ji i....
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...PROP. I. THEO R. K C TF there be two ftraight lines, one of which is divided into any number of parts ; the rectangle contained by the two ftraight lines,...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...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...gnomon.' PROP. I. THEOR. F there be two ftraight lines, one of which is divided into any number of parts ; the rectangle contained by the two ftraight lines, is equal . to the reftangles contained by the undivided line, and the feveral parts cf the divided line. Let BOOK. II....
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...PROP. I. THEOR. IF there be two ftraight lines, one of which is divided into any number of parts ; the rectangle contained by the two ftraight lines,...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....
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...PROP. I. THEOR. IF there be two ftraight lines, one of which is divided into any number of parts ; the rectangle contained by the two ftraight lines, is equal to the reftangles contained by the undivided line, and the feveral parts of the divided line. Let A and BC...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...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 two straight lines, and let BC be divided into...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...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. D K H Book II. Let A and BC be two straight lines ; and let...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...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. Prop. II. Theor. If a straight line be divided înto any two...
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