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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 ... - Página 51
por John Playfair - 1855 - 318 páginas
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## An Easy Introduction to the Mathematics: In which the Theory and ..., Volumen2

Charles Butler - 1814
...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 - 528 páginas
...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...line. Let the straight line AB be divided into two e qual parts in the point C, and into two unequal parts at the point D ; the rectangle AD, DB, together...
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## Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volumen5

John Mason Good - 1819
...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 - 516 páginas
...PROP. V. THEOR. IP a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together...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 - 372 páginas
...Proposition V. Tlieorem. If a straight line be divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together...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 ..., Libros 1-6

Euclides - 1826
...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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## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 páginas
...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...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, Robert Simson - 1835 - 513 páginas
...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...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 - 114 páginas
...CPROP. XXI. THEOR. If a straight line lie divided into two equal parts, and also into two unequal parts, the rectangle contained by the unequal parts, together...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 Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 páginas
...likewise squares. V. If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together...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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