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" AB be divided into two equal parts in the point c, and into two unequal parts at the point D ; the rectangle AD, DB, together with the square of CD, is equal .to the square of CB. "
The Surveyor - Page 116
1908
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...is equal to the fquare of half the line. Let the ftraight line AB be divided into two equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB together with the fquare of CD, is equal to the fquare ofCB. Upon CB defcribe'...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...is equal to the fquare of half the line. Let the ftraight line AB be divided into two equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together with the fquare of CD, is equal to the fquare of CB. Upon CB deferibe...
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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
...is equal to the fquaie of half the line. Let the ftraight line AB be divided into two equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together with the fquare 01 CD, is equal to the fquare of CB. ' Upon CB defcribe...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...equal to the fquare of half the line. Let the ftraight line AB be divided into two e^qual parts in the point C, and into two unequal parts at the point D ; the reft* angle AD, DB, together with the fquare of CD> is equal to the fquare of CB. Upon CB defcribe...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...is equal to the fquare of half the line. Let the ftraight line AB be divided into two equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB together with the fquare of CD, is equal to the fquare of CB. Upon CB defcribe...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...equal to the square of half the line. Let the straight line AB be divided into two e qual parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together with the square of CD, is equal to the square of CB. Upon CB describe*...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...is equal to the square of half the line. Let the straight line AB be divided into two equal parts in the point C, and into two unequal parts at the point D ; the rectangle AD.DB, together with the square of CD, is equal to the square ot CB. Upon CB describe...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 pages
...equal to the square made of half the line. Let the right line лв be divided into two equal parts in the point c, and into two unequal parts at the point D; the rectangle AD, DB, toether with the square or For describe 2 CEFD, the square of св, and join...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...double of the square of half the line, and of the square of the line between the points of section. Let the straight line AB be divided into two equal parts...point C, and into two unequal parts at the point D: the squares of AD, DB, shall together be double of the squares of AC, CD. From the point C draw * CE...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 pages
...double of the square of half the line, and of the square of the line between the points of section. Let the straight line AB be divided into two equal parts...point C, and into two unequal parts at the point D : the squares of AD, DB, shall together be double of the squares of AC, CD. • 11. 1. From the point...
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