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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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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 466 pages
...given ftraight line ; it is required to cut off any part from it. From the point A draw a 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 be cut off from it ; join BC,...
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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 520 pages
...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 with AB ; and in AC take any point D, and take AC the fame multiple of AD that AB is of the part which is to be cut off from it ; join BC, and draw DE parallel...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 550 pages
...given ftraight line ; it is required to cut off any part from it. • From the point A draw a ftraight line AC making any angle with AB ; and in AC take any point D, and take AC the fame multiple of AD, that AB is of the part which is to be cut off from it; join BC, and draw DE parallel...
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Elements of Geometry: Containing the First Six Books of Euclid, with Two ...

John Playfair - Trigonometry - 1795 - 444 pages
...to cut off from it a part of which AB fliall be a given multiple. From the point A draw a flraight line AC making any angle with AB ; 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...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 351 pages
...the given ftraight line; it is required to cut off any part from it. From the point A draw a ftraight line AC making any angle with AB ; and in AC take any point D, and take AC the fame multiple of AD, that AB is of the part which is to be cut off from it ; join BC, and draw DE parallel...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1804 - 470 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,...it : then AE is the part required to be cut* off. Becaufe ED is parallel to one of the fides of the triangle ABC, viz. to BC, CD : DA : : BE : EA ...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804
...given ftraight line ; it is required to cut off any part from it. From the point A draw a 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 be cut off from it; join BC, and...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...part See N. 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...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 320 pages
...AB a part which shall be contained in it a given number of times. Book VI. a 2. 6. b 18. 5. cC. 5. From the point A draw a straight line AC, making any angle with AB ; in AC take any point D, and take AC sucli that it shall contain AD as" often as AB is to contain...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - Geometry - 1810 - 518 pages
...re- See M. quired. Let AB be the given straight line ; it is required to cut off anv part from it. From the point A draw a straight line AC making any...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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