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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 First Six Books, Together with the Eleventh ... - Side 53
av Euclid, Robert Simson - 1821 - 516 sider
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - 1775 - 534 sider
...likcwife fquares. PROP. Book II. PRO PV THEO R. Fa ftraight line be divided into two equal parts, and alfo into two unequal parts ; the rectangle contained by the unequal parts, together with the fquare of the line between the points of fection, is equal to the fquare of half the line. Let the...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - 1804 - 530 sider
...'• . c- 43. '• PROP. V. THE OR. • IF a ftraight line be divided into two equal parts, and alfo into two unequal parts ; the rectangle 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...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - 1804 - 468 sider
...are likewife fquares. PROP. V. THEO R. IF a ftraight line be divided into two 'equal parts, and alfo into two unequal parts ; the rectangle contained by the unequal parts, together with the fquare of the line between the points of fection, is equal to the fquare of half the line. Let the...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 sider
...manifest that the parallelograms about the diameter of a square are likewise squares. . PROP. V. THEOR. IF a straight line be divided into two equal parts, and...square of the line between the points of section, are equal to the square of half the line. Let the straight line AB be divided into two equal parts...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1813 - 714 sider
...squares of the two parts, together •with twice the rectangle contained by the parts. Prop. V. Theor. If a straight line be divided into two equal parts, and...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...
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An Easy Introduction to the Mathematics: In which the Theory and ..., Volum 2

Charles Butler - 1814 - 528 sider
...product a+or.a— «•= aa — xx ; to each of these equals add xx, and a+xa — x+xx=aa, that b, the rectangle contained by the unequal parts, together with the square of (x) the line between the points of section is equal to the square of (a) half the line. QED In the...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 sider
...manifest, that the parallelograms about the diameterof a square are likewise squares. PROP. V. THEOR. IF a straight line be divided into two equal parts, and...section, is 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...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 sider
...manifest that the parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parts, and...section, 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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volum 5

John Mason Good - 1819 - 800 sider
...parts, and also into two um quäl parts j the rectangle contained by the unequal parts, togotherVrith the square 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 produned to any point; the rectangle contained...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 sider
...manifest that the parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two uneqtial parts ; the rectangle contained by the unequal parts, together with the square of the line...
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