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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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Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ...

Dennis M'Curdy - 1846 - 138 sider
...any angle with AB. In AC take a 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 it ; AE is the part required. Because ED is parallel to BC, a side of the triangle ABC (a), CD : DA :...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...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 is...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...making any angle with ab; and in a С take any point d, and take a С the same multiple of ad, that a Ь is of the part which is to be cut off from it : join, b С, and draw de parallel to it : then ae is the part required to be cut off. Because ed is parallel...
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The Elements of Euclid, with many additional propositions, and explanatory ...

Euclides - 1855
...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...draw DE parallel to it : then AE is the part required tobecut of. DEMONSTRATION. Because ED is parallel to BC, one of the sides of the triangle ABC ; as...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 318 sider
...and in AC take any point 1), 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 dniw DE parallel to it: then AK is the part required to be cut off. triangle ABC, viz. to BC, CD :...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...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. (Dem.) Because ED is parallel to one of the sides of the triangle ABC, namely, to BC ; CD is to DA...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860
...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. VI. 2. 6) V. 18. v. D. DEMONSTRATION. Because ED is parallel to BC, one of the sides of the triangle...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...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 plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...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 CB. The A part AE is the part required to be cut off from AB. PEOP. IX. (PEOELEM.)—From a gicen straight...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...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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