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" If a straight line be bisected, and produced to any point, the square on the whole line thus produced, and the square on the part of it produced, are together double of the square on half the line bisected; and of the square on the line made up of the... "
Elements of geometry, containing books i. to vi.and portions of books xi ... - Page 88
by Euclides, James Hamblin Smith - 1872 - 349 pages
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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 double of...
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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 of...
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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 double of...
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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 double of...
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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 double of...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...part of it produced, are together double of the square of half the line bisected, and of the square of the line 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 squares of AD, DB are double of...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 pages
...part of it produced, are together double of the square of half the line bisected, and of the so of the line 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 squares of AD, DB are double of...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...part of it produced, are together double of the square of half the line bisected, and of the square of the line made up of the half and the part produced. Let the straight line AB be bisected in С and produced to the point D ; the squares of AD, DB are double of...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 234 pages
...produced, and the part of it produced, shall be together double to the square of the half line, and of' the line made up of the half and the part produced. Let the right line be cut into two equal parts in the point с, and produced to the point b ; the squares of...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...part of it produced, are together double of the square of half the line bisected, and of the square of the line 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 squares of AD, DB shall be double...
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