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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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 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 be ci t off from it: join BC, and draw DE parallel to cut it: then AE is the part required to be cut off....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...and take AC A Mieh that it shall eontain AD, as oft as AB is to eontain the part, whieh is to be eut off from it; join BC, and draw DE parallel to it: then AE is the part required to be eut off. Beeause ED is parallel to one of the sides of the triangle ABC, viz. to BC, CD : DA " DE :...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 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 be cut oft' from it ; join BC, and draw DE parallel to it: then AE shall be the part required to be cut off....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1833 - 346 pages
...and take AC such that it shall contain AD, as oft as AB is to contain the part, which is to be cutoff from it ; join BC, and draw DE parallel 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, CD : DA : : DE : EA (2....
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1834 - 518 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...it ; join BC, and draw DE parallel to it : then AE shall be the part required to be cut off. f The triangles ADB, ADC, being both equiangular to ABC,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 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...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 is1...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - Trigonometry - 1835 - 544 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 be cut off from it; join BC, A and draw DE parallel to it : Then AE l\ is the part required to be cut off. / \ Because ED is parallel...
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The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...draw a straight line AC making any angle with AB ; and in AC take any point D, and takeAC 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 (3....
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...book. t 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 be cut off from it ; A join BC, and (I. 31.) draw DE parallel to it : AE N is the part required. T"\ Because ED is parallel...
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Elements of Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 pages
...with AB ; and in AC take any point D, and take AC the same multiple of AD, that AB is of the part A •which is to be cut off from it ; join BC, and draw l\ DE parallel to it ; then AE is the part required X/~V to be cut off. / \ Because ED is parallel...
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