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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 - Page 167
by Euclid - 1781 - 520 pages
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 pages
...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...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 College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865 - 402 pages
...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...cut off from it ; join BC, and draw DE parallel to CB. (i. 31.) Then AB shall be the part required to he out off. DEMONSTRATION Because ED is parallel...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 358 pages
...; 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 ; join BC, and draw DE parallel to it: thn AE is the part required to be cut off. Because CD is parallel to one of the sides of the triangle...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...A draw a straight line AC, making any angle with AB; in AC tak e any point D, and take AC the same multiple of AD, that AB is of the part which is to...off from it ; join BC, and draw DE parallel to it. AE shall be the part required to be cut off. For, because ED is parallel to BC, one of the sides of...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...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...off from it ; join BC, and draw DE parallel to it. AE shall be the part required to be cut off. For, because ED is parallel to BC, one of the sides of...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...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...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 Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1876 - 240 pages
...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...from it ; join BC, and draw DE parallel to it : then AK is the part required to be cut off. fa) VL 2. (6) V. 18. (c$ VD DEMONSTRATION. Because ED is parallel...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1876 - 446 pages
...draw a straight line AC, making any angle with AB\ and in AC take any point D, and take ACtiie same multiple of AD, that AB is of the part which is to be cut off from it ; join BG, and draw DE parallel to CB. Then AE shall be the part required to be cut off. Because ED is parallel...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...any point D, and take AC so that it shall contain AD as many times as AB is to contain the part that is to be cut off from it; 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: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...point A draw a straight line AG, making any angle with AB; in AG take any point D, and take AC the same multiple of AD, that AB is of the part which is to...off from it ; join BC, and draw DE parallel to it. AE shall be the part required to be cut off. For, because ED is parallel to BC, [Construction. one...
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