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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... "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Page 52
by Euclides - 1853
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...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 the half and the part produced. Let the ftraight line AB be bifected m C, and produced to tlie point D ; the rectangle AD, DB together with...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...produced, together witlx the fquare of half of the line bifected, is equal to the fquare of the ftraight line which is made up of the half and the part produced. Let the ftraight line AB be bifected in C, and produced to the point D ; the rectangle AD, DB, together with...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...ftraight line which is made up of the half and the part produced. Let the ftraight line AB be bifected in C, and produced to the point D ; the rectangle AD, DB together with the fquare of CB, is equal to the fquare of CD. Upon CD deferibe • the fquare CEFD, join DE, and thro'...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...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 the half and the part produced. Let the ftraight line AB be bifected in C, and produced to the point D; the rectangle AD, DB, together with...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...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 half and the part produced. Let the ftraight line AB be bifefted in C, and produced to the point D ; the reftangle AD, DB, together with...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...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 the half; and the part produced. Let the ftraight line AB be bifefted in C, and produced to the point D ; the rectangle AD, DB, together with...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...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 the half and the part produced. Let the ftraight line AB be bifected in C, and produced to the point D ; the rectangle AD, DB together with...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let the...be bisected in C, and produced to the point D ; the squares of AD, DB are double of the squares of AC, CD. a 11. 1. From the point C draw a CE at right...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...bisected, and of the square of the line made up of the half and the part produced. Let the suaight line AB be bisected in C, and produced to the point D ; the squares of AD, DB are double of the squares of AC, CD. From the point C draw1 CE at right angles to...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced. I .ft the straight line AB be bisected in C, and produced to the point D; the rectangle AD, DB, together...
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