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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 ...

Euclides - Geometry - 1841 - 378 pages
...required, Let AB be the given straight line; it is required to cut off any part from it. part which U to be cut off from it; join BC, and draw DE parallel to CB: then AE shall be the part required to be cut off Because ED is parallel to BC, one of the sides...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 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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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 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 take A c the same multiple of AD, that AB is of the part which is to be cut off from it ; join B, c, and...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 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...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 * 2....
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...any part required. Let AB be the given straight line. It is required to cut off any part from it. A From the point A draw a straight line AC, making any...cut off from it ; join BC, and draw DE parallel to CB. Then AE shall be the part required to be cut off. Because ED is parallel to BC, one of the sides...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 382 pages
...is required to cut off any assigned part from it. Draw a straight line AC making any angle with AB ; in AC take any point D, and take AC the same multiple...part which is to be cut off from it ; .join BC, and (I. 31) draw DE parallel to it: AE is the part required. Because ED isparallel to BC, one of the sides...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 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 parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...Let AB be the given straight line : it is required to cut off any part required from it (5. Def. 1). From the point A draw a straight line AC, making any angle with A. 13 ; and in AC take any point D, and take AC the same multiple of AD that AB is of the part which...
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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - Geometry - 1846 - 166 pages
...off any part required. From the point A draw AC, at any angle with AB. In AC take a point D, and make AC the same multiple of AD that AB is of the part to be cut off from it: join BC, and draw DE parallel to it ; AE is the part required. Because ED is...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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...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 is...
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