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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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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - Geometry - 1855 - 360 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: th«n 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
...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; in AC tak e any point D, and take AC the same multiple of AD, that AB is of the part which is to be...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...off 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...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, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...required to cut off any part from it. Construction. From the point A draw a straight line AC, making «ny angle with AB ; and in AC take any point D, and take...AC the same multiple of AD, that AB is of the part whi•-' :s to be cut off from it ; join BC, and draw D£ parallel to CB. B< Then AE shall be the part...
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The Elements of Euclid, with Many Additional Propositions and Explanatory ...

Euclid - 1876 - 240 pages
...PROBLEM. From a given finite straight line (AB) to cut off any required part, or submultiple. SOLUTION. From the point A draw a straight line AC, making any...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 - 1876 - 446 pages
...off 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 ACtiie same multiple of AD, that AB is of the part which is to be cut off from it ; join BG, and draw...
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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
...cut off any part from it. From the 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...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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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - Euclid's Elements - 1881 - 236 pages
...point A draw a straight line AC, making any A 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...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1882 - 286 pages
...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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