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Books Books 1 - 10 of 180 on If a straight line be bisected, and produced to any point ; the rectangle contained....
" If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square... "
An elementary treatise on the geometrical and algebraical investigation of ... - Page 56
by Daniel Cresswell - 1817 - 436 pages
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The Elements of Euclid: The errors, by which Theon, or others, have long ago ...

Robert Simson, Euclid - Trigonometry - 1762 - 466 pages
...3i. I. c. 36. I. d. 43- IPROP. VI. THEOR. TF a ftraight line be bifected, and produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the fquarc of half of the line bife&ed, is equal to the fquare of the ftraight line which...
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The Elements of Euclid, viz: The errors, by which Theon, or others, have ...

Robert Simson, Euclid - Trigonometry - 1775 - 520 pages
...I• c Cot. 4. i, H M PRO P. VI. THEO R. TF a ftraight line be bifected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together witlx the fquare of half of the line bifected, is equal to the fquare of the ftraight line...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
...r. A 4J. t. Book IL PRO P. VI. THEO R. IF a ftraight line be bifected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the fquare of half of the line bifected, is equal to the fquare of the ftraight line...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - Euclid's Elements - 1795 - 400 pages
...31. i. c 36. ». * 43. i. IF a ftraight line be bifefted, and produced to any point ; the reftangle contained by the whole line thus produced, and the part of it produced, together with the fquare of half the line bife&ed, is equal to the fquare of the ftraight line which...
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The elements of Euclid: viz. the first six books, with the eleventh and ...

Alexander Ingram, Robert Simson - Trigonometry - 1799 - 351 pages
...fum AD and difference DB. PROP. VI. THEOR. IF a ftraight line be bife&ed, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the fquare of half of the line bifefted, is equal to the fquare of the ftraight line...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...i. 43. l. e. Cor. 4. 2, PROP. VI. THEOR. IF a ftraight line be bifected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the fquare of half of the line bifected, is equal to the fquare of the ftraight line...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1804 - 440 pages
...Ic 36. i. * 43- i. PRO P. VI. THEO R. IF a ftraight line be bifec"led, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the fquare of half the line bifefted, is equal to the fquare of the ftraight line which...
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Elements of geometry: containing the first six books of Euclid, with a ...

John Playfair - Trigonometry - 1806 - 311 pages
...AG, GB is equal to the square upon the given straight line C. Which was to be done. PROP. XXIX. PROB. TO produce a given straight line, so that the rectangle contained by the segments between the extremities of the given line and the point to which it is produced may be equal...
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Elements of Geometry, Geometrical Analysis, and Plane Trigonometry: With an ...

Sir John Leslie - Geometry, Analytic - 1809 - 493 pages
...another problem •f the same nature ; in which it is required to produce a B straight line AB, such that the rectangle contained by the whole line thus produced and the part produced, shall be equivalent to the square of the line AB itself. Divide AB in C, EO that the rectangle...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory, and N ...

John Mason Good, Olinthus Gilbert Gregory - 1813
...square of half the line. Prop. VI. Theor. If a straight line be bisected, and produced to any point; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the «traight line which...
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