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" If a straight line be divided into two equal, and also into two unequal parts, the squares on the two unequal parts are together double of the square on half the line and of the square on the line between the points of section. Let the straight line AB... "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 92
by Robert Potts - 1876 - 403 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
...of the line between the points of fe&ion, 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....
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...of the line between the points of fection, 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....
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...of the line between the points of fe&ion, 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 1); the rectangle AD, DI3, together with the fquare of CD, is equal to the fquare of CB....
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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
...of the line between the points of feclion, 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....
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...of the line between the points of fection, is 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...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...of the line between the points of fection, 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 in the point D ; the reftangle AD.DB, together with the fquare of CD, is equal to the fquare of CB, or AD.DB+CD2—...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...of the line between the points of fe&ion, 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....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...squares of the two unequal parts are together 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 at the point C into two equal, and at D into two unequal parts. The squares of AD, DB are together...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...squares of the two unequal parts are together 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 at the point C into two equal, and at D into two unequal parts : the squares of AD, DB are together...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...squares of the two unequal parts are together 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 at the point C into two equal, and at D into two unequal parts: The squares of AD, DB are together...
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