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" AB as a diameter, describe a semicircle : at the extremity of the diameter draw the tangent AD, equal to the side of the square C ; through the point D and the centre O draw the secant DF ; then will DE and DF be the adjacent sides of the rectangle required.... "
Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ... - Page 125
by James Bates Thomson - 1844 - 237 pages
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 208 pages
...differ by a given quantity AB. Solution. On the given line AB, as a diameter, describe a circle ; from the extremity of the diameter draw the tangent AD...of the square C. Through the point D and the centre 0 draw the secant DF; DE and DF will be the adjacent sides of the rectangle required. For, 1. the difference...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 367 pages
...construct a rectangle that shall be equivalent to a given square C, and the difference of whose adjacent sides shall be equal to a given line AB. Upon the...DF be the adjacent sides of the rectangle required. PROBLEM XIX. Tojind the common measure, if there is one, between the diagonal and the side of a square....
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Elements of Geometry

Adrien Marie Legendre - 1825 - 574 pages
...half of the line JIB. PROBLEM. Solution. On the given line AB, as a diameter, describe a circle ; from the extremity of the diameter draw the tangent AD...Through the point D and the centre O draw the secant DF; DE and DF will be the adjacent sides of the rectangle required. For, 1. the difference of the sides...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 280 pages
...differ by a given quantity AB. . Solution. On the given line AB, as a diameter, describe a circle ; from the extremity of the diameter draw the tangent AD...Through the point D and the centre O draw the secant DF; DE and DF will be the adjacent sides of the rectangle required. For, 1. the difference of the sides...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...line AB, as a diameter, describe a circle ; from the extremity of the diameter draw the tangent AT) equal to the side of the square C. Through the point D and the centre O draw the secant DF; DE and DF will be the adjacent sides of the rectangle required. For, 1. the difference of the sides...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1825 - 224 pages
...line AB, as a diameter, describe a circle ; from the extremity of the diameter draw the tangent AT) equal to the side of the square C. Through the point D and the centre O draw the secant DF; DE and DF will be the adjacent sides of the rectangle required. For, 1. the difference of the sides...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 316 pages
...be equal to a given line. Suppose C equal to the given square, and AB the difference of the sides. Upon the given line AB as a diameter, describe a semicircle...secant DF: then will DE and DF be the adjacent sides A of the rectangle required. For, first, the difference of their sides is equal to the diameter EF...
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Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1830 - 344 pages
...equal to the given square, and AB the difference of the sides. Upon the given line AB as a diamemeter, describe a semicircle : at the extremity of the diameter...difference of their sides is equal to the diameter EF or AB ; secondly, the rectangle DE, DF is equal to AD= (228.) ; hence that rectangle is equivalent to the...
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Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 359 pages
...equal to a given line. Suppose C equal to the given square, and AB the difference of the sides. . Upon the given line AB as a diameter, describe a semicircle...rectangle required. For, first, the difference of these sides is equal to the diameter EF or AB ; secondly, the rectangle DE, DF, is equal to AD2 (Prop....
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1837 - 318 pages
...square, and AB the difference of the sides. Upon the given line AB as a diameter, describe a circle ; at the extremity of the diameter draw the tangent...the square C ; through the point D, and the centre 0, draw the secant DF ; then will DE and DF be the adjacent sides of the rectangle required. First,...
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