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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, books i. ii. iii. iv - Seite 58
von Euclides - 1862
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Band 5

John Mason Good - 1819 - 800 Seiten
...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. Prop. VII. Theor. If a straight line be divided into any two parts, the squares of the whole line,...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 Seiten
...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 be bisected in C, and produced to the point D ; the rectangle AD, DB, together...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 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,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 Seiten
...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 be bisected in C, and produced to the point D : the rectangle AD, DB, together...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 Seiten
...part of it produced, together ivith 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 be bisected in C, and produced to the point D ; the rectangle AD, DB, together...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 Seiten
...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. VII. If a straight line be divided into any two parts, the squares of the whole line, and of one of...
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The Element of Geometry

John Playfair - 1836 - 148 Seiten
...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 be bisected in C, and produced to the point D ; the rectangle AD, DB, together...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 Seiten
...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 be bisected in C, and produced to D ; the rectangle AD.DB, and the square...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 Seiten
...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 be bisected in C, and produced to the point D ; the rectangle AD • DB, together...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 Seiten
...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 be bisected in C, and produced to the point D : the rectangle AD-DB, together...
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