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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 - Σελίδα 167
των Euclid - 1781 - 520 σελίδες
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881 - 236 σελίδες
...angle BAC, with AB. In AC take any 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 E/-AB C B. The part AE is the part required to be cut off from AB. Because ED is parallel to BC, one...

The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1882 - 286 σελίδες
...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...

The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 428 σελίδες
...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...

Books 3-9

Euclid - 1908 - 456 σελίδες
...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...

The Thirteen Books of Euclid's Elements

Euclid - 452 σελίδες
...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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