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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... "
An Elementary Treatise on the Geometrical and Algebraical Investigation of ... - Strona 56
autor: Daniel Cresswell - 1817 - Liczba stron: 436
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Hirsch's Collection of Examples, Formulae, & Calculations, on the Literal ...

Meyer Hirsch - 1827 - Liczba stron: 386
...of this construction is founded on Eue. VI. 13, 17. SECTION LXXIII. Рвов. То produce a given line, so that the rectangle contained by the whole line thus produced, and the part produced, may be equal to the square of a given line. SOLUT. Let the line AB be given (ßg. 86) : lengthen...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - Liczba stron: 333
..."(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
...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 - Liczba stron: 513
...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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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - 1836 - Liczba stron: 496
...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 - Liczba stron: 472
...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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The Element of Geometry

John Playfair - 1836 - Liczba stron: 114
...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 - Liczba stron: 496
...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 - Liczba stron: 390
...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 - Liczba stron: 240
...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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