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" 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 to be cut off. "
The First Six Books: Together with the Eleventh and Twelfth - Side 167
av Euclid - 1781 - 520 sider
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1882 - 266 sider
...point D, and from the point D along the line DC lay off AD the given number of times, to the point C; join BC, and draw DE parallel to it ; then AE is the part to be cut off. Because ED is parallel to one of the sides of the triangle ABC (V. 2), CD : DA : : BE...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 sider
...line AG, making any angle with AB ; in^46?takeanypointZ>, andtake^4(7the same multiple of AD, that AS is of the part which is to be cut off from it ; join BO, and draw DE parallel to it. AE shall be the part required to be cut off. For, because ED is parallel...
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Books 3-9

Euclid - 1908
...point A draw a straight line AC making any angle with AB; in AC take any point D, and take AC the same multiple of AD that AB is of the part which is to...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 BE...
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The Thirteen Books of Euclid's Elements

Euclid
...point A draw a straight line AC making any angle with AB; in AC take any point D, and take AC the same multiple of AD that AB is of the part which is to...cut off from it; join BC, and draw DE parallel to it : PROPOSITIONS 9, 10 Because ED is parallel to one of the sides of the triangle ABC, viz. to BC, as...
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