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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 Geometry, Symbolically Arranged - Página 60
por Great Britain. Admiralty - 1846
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 páginas
...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,...points of 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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volumen5

John Mason Good - 1819 - 800 páginas
...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 páginas
...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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 páginas
...manifest, that the parallelograms about the diameter of a square are likewise squares. PROP. V. THEOR. IP a straight line be divided into two equal parts, and...points of 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 páginas
...that the parallelograms about the diameter of a square, are likewise squares. Proposition V. Tlieorem. If a straight line be divided into two equal parts,...points of 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1826 - 326 páginas
...manifest 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 - 546 páginas
...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...points of 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...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 358 páginas
...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...points of 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 páginas
...of 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,...points of 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...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 páginas
...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,...points of 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...
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