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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... "
The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Page 52
by Robert Simson - 1781 - 466 pages
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...produced, and the part of it produced, shall be together double to the square of the half line, and of' the line made up of the half and the part produced. Let the right line be cut into two equal parts in the point с, and produced to the point b ; the squares of...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...produced, and the part of it produced, shall be together double to the square of the half line, and of the line made up of the half and the part produced. * llf 1• For draw a CE from the point c at right angles to AB, t and make it equal to AC, or св,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 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, Let the straight line AB be bisected in C, and produced to the point D: the squares of AD, DB shall be double...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...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 of AD, DB are double of...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 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. Let the straight line AB be bisected in C, and produced to the point D ; the squares of AD, DB are double of...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 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. XII. In obtuse angled triangles, if a perpendicular be drawn from any of the acute angles to the opposite...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 542 pages
...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 and B c be any two...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 524 pages
...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 AB and B c be any...
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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, 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 are double of the squares...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 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. From the point C draw CE at right angles to AB (1. 11) ; and make it equal to AC or CB, and join AE,...
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