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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, together with the square of half the line bisected, is equal to the square of the straight line which is made... "
The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ... - Page 47
by Euclid - 1835 - 513 pages
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...together with the square of half the line biseeted, is equal to the square of the straight line whieh is made up of the half and the part produced. Let the straight line AB be biseeted in C, and produeed to the point D ; the reetangle AD.DB, together with the square of CB, is...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...the part produced, together with the square of half the line, is equal to t/ie square of the right line, which is made up of the half and the part produced. Let the right line AB be bisected in the point с, and produce it to the point D ; the rectangle AD, DB, together...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 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 straight line which is made up of the whole and that part. Let the straight line AB be divided into any two parts in the point C: four times...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1832 - 358 pages
...therect angle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to...of the half and the part produced. Let the straight lino AB be bisected in C, and produced to the point D D;the rectangle AD.DB, together with the square...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 346 pages
...contained by the whole line, and one of the parts, together with the square of the other part, is equalto the square of the straight line which is made up of the whole and the jir si-mentioned part. Let the straight line AB be divided into any two parts in the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 336 pages
...produced, and the part of it produced, together with the square of half the line bisected, is equ2l to the square of the straight line which is made up...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 (Prob. 18. 1.)...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 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. From the point C draw (9. 1.) CE at right angles...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 524 pages
...the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected is equal to the...of the straight line, which is made up of the half of the part produced." 10. Some very useful problems may be performed by means of the principles which...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - Mathematics - 1836 - 542 pages
...the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected is equal to the...of the straight line, which is made up of the half of the part produced." 10. Some very useful problems may be performed by means of the principles which...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1836 - 488 pages
...the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to...square of the straight line which is made up of the hay' and the part produced. Let the straight line AB be bisected in C, and produced to the point D;...
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