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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. "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Side 51
av John Playfair - 1837 - 318 sider
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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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 sider
...likewise squares. PROP. V. THEOR. IP a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the...section, is equal to the square of half the line. i H M Let the straight line AB be divided into two equal parts in the point C, and into two unequal...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 sider
...squares. Proposition V. Tlieorem. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the...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....
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826 - 226 sider
...of the intermediate distance, is 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 326 sider
...straight line be divided into two equal parts, and also into two unequal parts ; the reetangle eontained by the unequal parts, together with the square of the line between the points of seetion, is equal to the square of half the line. Let the straight line AB be divided into two equal...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 sider
...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...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, shall be equal to the square...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 sider
...b31. 1. c 43. 1. PROP. V. THEOR. If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the...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....
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The Element of Geometry

John Playfair - 1836 - 148 sider
...squares. / G H / CPROP. XXI. THEOR. If a straight line lie divided into two equal parts, and also into two unequal parts, the rectangle contained by the...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....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1836 - 488 sider
...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...square of half the line. Let the straight line AB he .divided into two equal parts in the point C, and into two unequal parts in the point D ; the rectangle...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 sider
...a square are likewise squares. V. If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the...section, is equal to the square of half the line. COR. From this proposition it is manifest, that the difference of the squares of two unequal lines...
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