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" 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... "
The Elements of Geometry, Symbolically Arranged - Seite 62
von Great Britain. Admiralty - 1846
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1762 - 488 Seiten
...I • b. 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...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 is made up of...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 Seiten
...3«. i. a 43. 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 which is...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 Seiten
...3i. I. c 36. 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...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 which is made up of...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1781 - 534 Seiten
...46. i. b. 3i. i. v. 3<. i. i 43- i. PROP. VI. THEO R. TF a ftraight line be bifecled, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, togc ther with the fquare of half of the line bifefted, 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 ...

Euclid, John Playfair - 1795 - 462 Seiten
...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 is made up of the...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - 1799 - 374 Seiten
...by their 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...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 which is made up of...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - 1804 - 468 Seiten
...a 46. ib3i. 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...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 is made up of the...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 Seiten
...c. 36. i. 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...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 which is made up of...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 Seiten
...AC*— -CD2=AC+CD. AC— CD." ' / PROP. VI. THEOR. IF a straight line be bisected, and produced to any ^ point, the rectangle contained by the whole...together with the square of half the line bisected, are equal to the square of the straight line which is made up of the half and the part produced. Let...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 546 Seiten
...rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part. Let the straight line AB be divided into any two parts in the point C ; four times...
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