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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... "
Report of Her Majesty's Civil Service Commissioners, Together with Appendices - Page 418
by Great Britain. Civil Service Commission - 1879
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...part of it produced are together double of the fqliare of half the line bife&ed, and of the fquare of the line made up of the half and the part produced. Let the ftraight line AB be bifected in C, and produced to the point D ; the fquares of AD, DB are...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...part of it produced, are together double of the fquare of half the line bifected, and of the fquare of the line made up of the half and the part produced. Let the ftraight line AB be bife&ed in C, and produced to the point D; the fquares of AD, DB arc double...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...part of it produced, are together double of the fquare of half the line bifefted, and of the fquare of the line made up of the half and the part produced. Let the ftraight line AB be bifefted in C, and produced to the point D ; the fquares of AD, DB are...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...part of it produced, are together double of the fquare of half the line bifected, and of the fquare of the line made up of the half and the part produced. Let the ftraight line AB be bifected in C, and produced to the point D ; the fquares of AD, DB are...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...part of it produced are together double of the fquare of half the line bifefled, and of the fquare of the line made up of the half and the part produced. Let the ftraight line AB be bifefted in C, and produced to the point D ; the fquares of AD, DB are...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...rectangle contained by their sum and difference, or that AC*— -CD2=AC+CD. AC— CD." ' / 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...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...unequal lines AC, CD, is equal to the rectangle contained by 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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813 - 714 pages
...of the line between the points of section, is equal to the square of half the line. 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...lines AC, CD, is equal to the rectangle contained by their sum and difference. M ^5' 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...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
..." contained by their sum and difference, or that AC3 — CD3 = (AC + CD) (AC-CD)." 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...
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