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" If then the sides of it, BE, ED are equal to one another, it is a square, and what was required is now done: But if they are not equal, produce one of them BE to F, and make EF equal to ED, and bisect BF in G : and from the centre G, at the distance GB,... "
The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ... - Page 57
by Alexander Ingram - 1799 - 351 pages
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1762 - 488 pages
...fhall be equal to A. Defcribe ' the rectangular parallelogram BCDE equal to the redti- t. «. i. lineal figure A. If then the fides of it BE, ED are equal...one of them BE to F, and make EF equal to ED, and bifect BF in G ; and from the center G, at the diftance GB or GF defcribe the fanicircle BHF, and produce...
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Elements of Geometry;: Containing the First Six Books of Euclid, with Two ...

Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...A. If then the fides of it BE, ED are equal to one another, it is a fquare, and what was required is done ; but if they are not equal, produce one of them BE to-Fy and make EF equal to ED, and bifeft BF in G : and frotn the centre G, at the diftance GB, or...
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Elements of Geometry;: Containing the First Six Books of Euclid, with a ...

John Playfair, Euclid - Circle-squaring - 1804 - 468 pages
...If then the tides of it, BE, ED are equal to one another; it is a fquare, and what was required is done ; but if they are not equal, produce one of them...produce DE to H, and join GH. Therefore, becaufe the ftraight line BF is divided into two'equal parts in the point G, and into two unequal in the point...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...t« tilineal figure A. If then the fides of it BE, ED are equal to one another, it is a fquare, anfl what was required is now done. but if they are not...one of them BE to F, and make EF equal to ED, and bifect BF in G ; and from the center G, at the diftance GB or GF defcribe the femicircle BHF, and produce...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...1. rectilineal figure A. If, then, the sides of it BE, ED are equal to one another, it is a square, and what was required is now done : but if they are...one of them BE to F, and make EF equal to ED, and bisect BF in G; and from the centre G, at the distance GB, or GF, describe the semicircle BHF, and...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Mathematics - 1806 - 320 pages
...of it BE, ED be equal to each other, it is a square, and what was required is done ; but if they be not equal, produce one of them BE to F, and make EF equal to ED, and bisect BF in G ; and from the centre G, at the distance GB, or GF, describe the semicircle BHF, and...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...rectilineal figure A. If then the sides .of it, BE, ED, are equal to one another, it is a square,andwhat was required is now done : But / if they are not equal, produce one of them BE to F, and make Let Abe the given rectilineal figure; it is requited to describe a square that shall be equal to A....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 350 pages
...If then the sides of it, BE, ED are equal to one another, it is a square, and what was required is done ; but if they are not equal, produce one of them, BE to F, and make EF equal to ED, and bisect BF in G : and from the centre G, at the distance GB, or GF, describe the semicircle BHF and...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 514 pages
...the rectilineal figure A. If then the sides of it BE, ED are equal to one another, /\ it is a square, and / \ what was required / \ is now done: but if / \ they are not equal, / ) produce one of V / them BE to F, and \/ make EF equal to ^ ED, and bisect BF D in G; and from the centre G, at the...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 pages
...the rectilineal figure A. If then the sides of it, BE, ED, are equal to one another, it is a square, and what was required is now done : But if they are not equal, produce one 01 them BE to F, and make EF equal to ED, and bisect BFin G ; and from the centre G, at the distance...
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