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Books Books 1 - 10 of 53 on AC the same multiple of AD, that AB is of the part which is to be cut off from it....  
" 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: The errors, by which Theon, or others, have long ago ...

Robert Simson, Euclid - Trigonometry - 1762 - 466 pages
...ftraight line AC making any angle with AB ; and in AC take any point D, and take AC which is the fam multiple of AD that AB is of the part which is to...join BC, and draw DE parallel to it. then AE is the fame part of AB that AD is of AC ; that is, AE is the part required to be cut off. Becaufe ED is parallel...
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The Elements of Euclid, viz: The errors, by which Theon, or others, have ...

Robert Simson, Euclid - Trigonometry - 1775 - 520 pages
...requi- gee N. fed. Let AB be the given ftraight line ; it is required to cut off any part from it. Fiom the point A draw a ftraight line AC making any angle...parallel to one of the fides of the triangle ABC, viz.toBC,asCD is to DA, fois'BE to EA ; and, by compofition b, CA is to AD, as BA to AE : But CA is...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

John Playfair - Euclid's Elements - 1795 - 400 pages
...and in AC take any point D, and take AC M 4 the Book VI. the fame multiple of AD, that AB i? - f - of the part which is to be cut off from it ; join...one of the fides of the triangle ABC, viz. to BC, a i. 6. as CD is to DA, fo is BE to EA; and, 6.18. 5. by compofition b, CA is to AD, as BA to, AE...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1804 - 440 pages
...take AC M 4 fnch Book VI t. '. b i. 5. fuch that it fhall contain AD, as oft as AB js to contain the part, which is to be cut off from it ; join BC,...one of the fides of the triangle ABC, viz. to BC, CD : DA : : BE : EA ; and by compofition b, CA : AD : : BA : AE : But CA is a multiple of AD ; therefore...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...ftraight line AC making any angle with AB; and in AC take any point D, and take AC which is the ftme multiple of AD that AB is of the part which is to...join BC, and draw DE parallel to it. then AE is the fame part of AB that AD is of AC ; that is, AE is the part required to be cut off. Becaufe ED is parallel...
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Elements of geometry: containing the first six books of Euclid, with a ...

John Playfair - Trigonometry - 1806 - 311 pages
...; in AC take any point D, and take AC sucli that it shall contain AD as" often as AB is to contain the part which is to be cut off from it ; join BC,...to it ; then AE is the part required to be cut off. Because ED is parallel to BC, one of the sides of the triangle ABC, CD : DA : : BE : EAa ; therefore,...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Euclid, Robert Simson - Euclid's Elements - 1806 - 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 be cut off from it ; join DC, 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: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1810 - 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...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 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...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 isa...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Trigonometry - 1819 - 333 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,...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 : : DK : 1^(2^6.)...
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