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" From the point A draw a straight line AC, making any angle with AB ; and in AC take any point D, and take AC the same multiple of AD, that AB is of the part which is to be cut off from it : join BC, and draw DE parallel to it : then AE is the part required... "
Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ... - Page 159
by Euclides - 1860
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...re- see N. quired. Let AB be the given straight line ; it is required to cut off any part from AB. From the point A draw a straight line AC, making any...to it: Then AE is the part required to be cut off. Because ED is parallel to one of the sides of the triangle ABC, viz. to BC, as CD is to DA, so is1...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - Trigonometry - 1835 - 544 pages
...re- Sec N. quired. Let AB be the given straight line ; it is required to cut off any part from AB. From the point A draw a straight line AC, making any...the part which is to be cut off from it; join BC, A and draw DE parallel to it : Then AE l\ is the part required to be cut off. / \ Because ED is parallel...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1836 - 488 pages
...it is required to cut off from AB, a part which shall be contained in it a given number of times. . From the point A draw a straight line AC making any...angle with AB ; and in AC take any point D, and take a 2. fi. cC. S. £ Book VI. AC such that it shall contain AD, as oft as AB is to con**~v~*-' tain the...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...any part required. Let AB be the given straight line ; it is required to cut off any part from it. From the point A draw a straight line AC making any angle with AB ; and in AC take any point D, and takeAC the same multiple of AD, that AB is of the part which is to be cut off from it : join BC, and...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...given straight line ; it is required to cut off from it a part of which AB shall be a given multiple. From the point A draw a straight line AC making any...AC the same multiple of AD, that AB is of the part A •which is to be cut off from it ; join BC, and draw l\ DE parallel to it ; then AE is the part...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...corollary to the 34th proposition of the first book. t Draw a straight line AC making any angle with AB ; in AC take any point D, and take AC the same multiple...that AB is of the part which is to be cut off from it ; A join BC, and (I. 31.) draw DE parallel to it : AE N is the part required. T"\ Because ED is parallel...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 pages
...; it is required to cut off from AB, a part which shall be contained in it a given number of times. From the point A draw a straight line AC making any...with AB ; and in AC take any point D, and take AC such that it shall contain AD, as oft as AB is to contain the part, which is to be cut off from it...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...any part required.* Let AB be the given straight line ; it is required to cut off any part from it. From the point A draw a straight line AC making any...AD, that AB is of the part which is to be cut off A from it : join BC, and draw DE parallel to it : then AE is the part required to be cut off. Because...
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The Elements of Euclid

Euclid - Geometry - 1838 - 470 pages
...ofl'any part required.* Let AB be the given straight line ; it is required to cut off any part from it. From the point A draw a straight line AC making any...AD, that AB is of the part which is to be cut off A from it : join BC, and draw DE parallel to it : then AE is the part required to be cut off. Because...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...any part required. Let AB be the given straight line ; it is required to cut off any part from it. From the point A draw a straight line AC, making any angle with AB ; and in AC take any point 1), and take AC the same multiple of AD, that AB is oi the part which is to be cut off from it; draw...
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