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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... "
A Supplement to the Elements of Euclid - Pagina 198
door Daniel Cresswell - 1819 - 410 pagina’s
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 358 pagina’s
..."(AC+CD)(AC-CD)" PROP. VI. 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 with the square of half the line bisected, is equal to the square of the straight line which...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pagina’s
...difference. PROPOSITION VI. THEOR. — If a straight line be bisected, and produced to any point, lke 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pagina’s
...AD and difference DB. PROP. VI. 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 ivith the square of half the line bisected, is equal to the square of the straight line which...
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The Element of Geometry

John Playfair - 1836 - 148 pagina’s
...straight line, &c. QED PROP. XXII. 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 equal to the square of the straight line which...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - 1836 - 524 pagina’s
...this last truth is usually enunciated : " 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...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 pagina’s
...contained by their sum and difference. VI. 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...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - 1836 - 542 pagina’s
...this last truth is usually enunciated : " 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...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 pagina’s
...hypotenuse and the other. PROP. VI. 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 equal to the square of the straight line which...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 pagina’s
...contained by the segments AG, GB, is equal to the square upon the given straight line C. PROPOSITION XXIX. PROBLEM. To produce a given straight line, so that the rectangle contained by the external segments of the given line may be equal to a given space. Let AB be the given straight line,...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pagina’s
...their sum and difference. PROP. VI. 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 equal to the square of the straight line which...
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