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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 on the line between the points of section, is equal to the square on half the line. "
Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ... - Pagina 2
door Woolwich roy. military acad - 1884
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 350 pagina’s
...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 between the points of section, is equal to the square of half the line. Let the straight...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - 1046 pagina’s
...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 unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. Let the straight...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 pagina’s
...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 •unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. Let the straight...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pagina’s
...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 unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. Let the straight...
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The Element of Geometry

John Playfair - 1836 - 148 pagina’s
...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 unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. Let the straight...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 pagina’s
...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 unequal parts, together with the square of the line between the points of section, is equal to the square of half the line. COR. From this...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 290 pagina’s
...AC-CB. PROPOSITION V. THEOREM. . 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. Let the straight...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 410 pagina’s
...square of one of them. 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 with the square of the line between the points of section, is equal to the square of half the line. Let the straight...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 112 pagina’s
...into two unequal parts, the rectangle A contained by the unequal parts, I together with the square of the line between the points of section, is equal to the square of half the line. Proved by showing that BC* = figs. CM + HG +LF; and that these = figs. AH + LF ;...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 pagina’s
...andalsointo 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. Let the straight line AB be divided into two equal parts in the point C, and into...
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