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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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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 372 sider
...the parallelograms about the diameter of a square, are likewise squares. Proposition V. Tlieorem. 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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 320 sider
...that the parallelograms about the diameter of a square are likewise squares. •f PROP. V. THEOR. If a 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...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 sider
...manifest, that 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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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 333 sider
...a square are likewise squares. PROP. V. THEOR. If a straight line be divided into two equal parls, and also into two unequal parts; the rectangle contained...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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 sider
...a square are likewise squares. e6. I. f34. I. 8 ^ '• a 46. 1. b31. 1. c 43. 1. 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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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 sider
...demonstration, it is manifest that the parallelograms about the diameter of a square are likewise squares. V. If a straight line be divided into two equal parts, and...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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The Element of Geometry

John Playfair - 1836 - 114 sider
...about the diagonal of a square are likewise squares. / G H / CPROP. XXI. THEOR. If a straight line lie divided into two equal parts, and also into two unequal...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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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 390 sider
...being bisected, the rectangle of the parts is equal to the square of one of them. 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 bisected in C, and divided unequally in D : the rectangle AD.DB, together...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 sider
...of AB is equal to the squares of AC, CB, and twice the rectangle AC-CB. PROPOSITION V. THEOREM. . 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 he divided into two equal 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 - 1837 - 318 sider
...(a+i)2 =a*+2a6+62. PROP. V. THEOR. If a straight line le divided into two equal parts, andalsointo two unequal parts; the rectangle contained by the...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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