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" If a straight line be bisected, and produced to any point, the square of the whole line thus produced, and the square of the 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... "
Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ... - Page 56
by Euclides - 1840
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 346 pages
...square of the 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. Let the straight line AB be bisected in C, and produced to the point D ; the squares...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...square of the part of it produced, are together double of the square of half tfie 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...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 542 pages
...square of the part of it produced, are together double the square of half the line bisected, and of the square of the line made up of the half and the part produced." 470 SQUARES OF In order to show this, we introduce the following diagram It Let AB...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 524 pages
...square of the part of it produced, are together double the square of half the line bisected, and of the square of the line made up of the half and the part produced." SQUARES OF In order to show this, we introduce the following diagram : ic tc I" Let...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...square of the 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. XII. In obtuse angled triangles, if a perpendicular be drawn from any of the acute angles...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...square of the 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. Let the straight line AB be bisected in C, and produced to the point D ; the squares...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...square of the 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. From the point C draw CE at right angles to AB (1. 11) ; and make it equal to AC or...
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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
...and of the 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. Let the straight line AB be bisected in C, and produced to D ; the squares of AD, DB...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - Euclid's Elements - 1837 - 112 pages
...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 line made up of the whole and that part. R In the construction of the figure it is necessary to show that BD = GK, in order...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...square of the part of it prolonged, 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 prolonged. Let the straight line AB be bisected in C and produced to the point D : the squares...
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