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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... "
Euclid's Elements of Geometry - Page 144
edited by - 1893 - 504 pages
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 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...part produced. Let 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...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 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...part produced. Let the straight line AB be bisected in C, and produced to D ; the rectangle AD.DB, and the square of CB, are equal to the square of CD....
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 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 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. From...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 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...part produced. Let the straight line AB be bisected in C, and produced to the point D : the rectangle AD-DB, together with the square of CB, shall be equal...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 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. Let the straight line AB he bisected in C, and produced to the point D: the rectangle AD, DB, together with the square of CB,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 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...part produced. Let 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...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...of it produced, together with the square of half the line bisected, is equivalent to the square of the straight line which is made up of the half and...part produced. Let the straight line AB be bisected in c, and produced to the point D : the rectangle AD, DB, together with the square of c B, is equivalent...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 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...part produced. Let the straight line AB be bisected in C, and produced to the point D. Then the rectangle AD, DB, together with the square of CB, shall...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 382 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...part produced. Let the straight line AB be bisected in C, and produced to D ; the rectangle AD.DB, and the square of CB, are equal to the square of CD....
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 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...part produced. Let the straight line AB be bisected in C, and produced to D : the rectangle AD, DB, together with the square of CB, shall be equal to the...
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