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" If a straight line be bisected and produced to any point, the square on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected, and of the square on the line made up of the... "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 93
by Robert Potts - 1876 - 403 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
...part of it produced are together double of the fqliare of half the line bife&ed, and of the fquare of the line 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 fquares of AD, DB are double of...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...part of it produced, are together double of the fquare of half the line bifected, and of the fquare of the line made up of the half and the part produced. Let the ftraight line AB be bife&ed in C, and produced to the point D; the fquares of AD, DB arc double of...
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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
...part of it produced, are together double of the fquare of half the line bifefted, and of the fquare of the line 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 fquares of AD, DB are double of...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...part of it produced, are together double of the fquare of half the line bifected, and of the fquare of the line 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 fquares of AD, DB are double of...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...part of it produced are together double of the fquare of half the line bifefled, and of the fquare of the line 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 fquares of AD, DB are double of...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...part of it 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....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. a 11. 1. From the point C draw a CE at...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...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 the...line AB be bisected in C, and produced to the point D ; the rectangle AD.DB, together with the square of CB, are equal to the square of CD. a 46. 1. Upon...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 554 pages
...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 with the square of CB, is equal to the square of CD. Upon CD describe...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...From the point C. draw3 CE at right angles to AB : And make it equal to AC or CB, and join AE, EB ; Let the straight 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. * 3i. i. through E draw ''EF parallel to...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...part of it 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....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. Ml. 1. From the point C draw* CE at right...
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