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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... "
The first six books of the Elements of Euclid, with numerous exercises - Seite 38
von Euclides - 1853 - 147 Seiten
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 Seiten
...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 - 1827 - 513 Seiten
...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 - 1832 - 333 Seiten
...THEOR. If a straight line be bisected, and produced to any point; therect angle contained by the whole line thus produced, and the part of it produced, together...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 - 1833 - 333 Seiten
...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 - 1835 - 316 Seiten
...THEOR. 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 equ2l to the square of the straight line which is made up of the half and the part produced. Let the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 Seiten
...rectangle contained by the whole line, and one of the parts; together with the square of t/ie 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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The Element of Geometry

John Playfair - 1836 - 114 Seiten
...THEOR. 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...half and the 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,...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - 1836 - 496 Seiten
..." 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...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 - 1836 - 496 Seiten
..." 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...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 - 1836 - 471 Seiten
...THEOR. 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...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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