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" If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. "
The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ... - Page 55
by Robert Simson - 1775 - 520 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 466 pages
...parallelo-. grams about the diameter of a fquare are likewife fquares. PROP, BooklL PRO PV THEO R. IF a ftraight line be divided into two equal parts, and...with the fquare 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...
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The Elements of Euclid: With Dissertations Intended to Assist and Encourage ...

Euclid, James Williamson - Euclid's Elements - 1781 - 309 pages
...into equal and unequal fegments; the re&angle contained by the unequal fegments of the whole line, together with the fquare of the line between the points...fection is equal to the fquare of half the line.. For let any ftraight line AB be cut into equal fegments at the point C i and into unequal fegments...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 520 pages
..."|F a ftraight line be divided into two equal parts; I and alfo into two unequal parts ; the rcdangle contained by the unequal parts, together with the fquare 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...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Electronic book - 1795 - 400 pages
...ir.anifeft that the parallelograms about the diameter of a fquare are likewife fquares. PRO PV THEO R. IF a ftraight line be divided into two equal parts, and alfo into two unequal parts ; the redlangle contained by the unequal parts, together with the fquare of the line between the points of...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 351 pages
...Consequently the fquaie of a line is four times the fquare of the half of that line. PROP. V! THEOR. IF a ftraight line be divided into two equal parts* and alfo into two unequal parts; the rectanglo contained by the 'unequal parts, together with the fquare of the line between the points...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...likewife fqu»res. ^ LCB H G r * V Book 11. 3' 45. »b 3'. '• . c- 43. '• PROP. V. THE OR. • IF a ftraight line be divided into two equal parts, and...with the fquare 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 pages
...are likewise squares. . PROP. V. THEOR. IF a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square of the line between the points of section, are equal to the square of half the line. Let the...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...are likewise squares. PROP. V. THEOR. IF a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. Let the...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813
...contained by the parts. Prop. V. Theor. If a straight line be divided into two equal parts, and also into two unequal parts) the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. Prop. VI....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...are likewise squares. PROP. V. THEOR. IF a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. Let the...
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