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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,... "
Elements of Geometry;: Containing the First Six Books of Euclid, with a ... - Page 64
by John Playfair, Euclid - 1804 - 440 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
...then the fides of it BE, ED are equal to one another, it is a fquare, 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 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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The Elements of Euclid, Viz: The Errors, by which Theon, Or Others, Have ...

Robert Simson - Trigonometry - 1775 - 534 pages
...now done : But if they arc not equal, produce one of them BE to F, ind make EF equal M ED, and bifect BF in G; and from the centre G, at the diftance GB,...Therefore, becaufe the ftraight line BF is divided into two equ.u parts in Ae point G, and into two unequal at E, the rectangle BE, EF, together with the fquare...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1781 - 534 pages
...equal, produce 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...therefore becaufe the ftraight line BF is divided into two equal parts in the point G, and into two unequal at E, the rectangle BE, EF, together with the...
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The First Six Books: Together with the Eleventh and Twelfth

Euclid - 1781 - 552 pages
...But if they are not eĞlua), produce one of them BE to F, and make EFequal to ED, and bifect BFin Gi and from the centre G, at the diftance GB, or GF,...produce DE to H, and join GH : Therefore, becaufe the ftratght line BF is divided into two equal parts in the point G, and into two unequal at E, th- rectangle...
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The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ...

Alexander Ingram - Trigonometry - 1799 - 374 pages
...then the fides of it BE, ED are equal to one another, it is a fquare, and what was required is now done : But if they are not equal, produce one of them...produce DE to H, and join GH: Therefore, becaufe the ilraight line BF is divided into two equal parts in the point G, and into two unequal at E, the re£langle...
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The Elements of Euclid: Also the Book of Euclid's Data ...cor. viz. The ...

Robert Simson - Trigonometry - 1804 - 530 pages
...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 equal, produce 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; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 pages
...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
...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 done ; but if they are not...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 ...

Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...equal toon* another, it is a square, and what was required is done; but if they are not equal, produee one of them, BE to F, and make EF equal to ED, and biseet BF in G : and from the eentre G, at the distanee GB, or GF, describe the semieirele BHF and...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 546 pages
...it, BE, ED are equal to one another, it is fa square, and A .H t 30 Def. •what was required is now done : but if they are not equal, produce one of them BE to F, and makef EF equal to ED, and ' ~~ ~" t 3. 1. bisect -)- BF in G ; and from the centre G, at the dis- t...
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