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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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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1868 - 434 pages
...BE, ED, are equal to one another, it is a square, and what was required is now done. But if BE, ED, are not equal, produce one of them BE to F, and make EF equal to ED, bisect BF in G; (I. 10.) from the center G, at the distance GB, or GF, describe the semicircle BHF,...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 426 pages
...rectilineal figure A (I. 45). 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...produce one of them, BE, to F, and make EF equal to ED (I. 3). Bisect BF in G (I. 10), and from the centre G, at the distance GB, or GF, describe the semicircle...
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A school Euclid, being books i. & ii. of Euclid's Elements, with notes by C ...

Euclides - 1874 - 120 pages
...Then if 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 0 ; [1-3,1. 10.] from the centre G, at the distance GB, or GF, describe the semicircle...
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Pure mathematics, Volume 1

Edward Atkins - 1874 - 428 pages
...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 (I. 3). Bisect BF in G (I. 10), and from tho centre G, at the distance GB, or GF, describe the semicircle...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874 - 342 pages
...BE, ED, are equal to one another, it is a square, and what was required is now done. But if BE, ED are not equal, produce one of them BE to F, and make EF equal to ED ; bisect BF in G (I. 10) ; from the centre G, at the distance GB or GF, describe the semicircle BHF,...
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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 pages
...sides of it, BE, ED, are equal to one another, it is a square, and what was required is now clone. But if they are not equal, produce one of them, BE, to F, and make EF equal to ED (I. 3). Bisect BF in G (I. 10), and from the centre G, at the distance GB, or GF, describe the semicircle...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1879 - 282 pages
...BCDE equal to A. If the sides BE, ED be equal to each other, the thing required is done ; but if not, produce one of them, BE to F, and make EF equal to ED, and bisect (I. 10) BF in G ; on BF describe the semicircle BHF; produce DE to meet it in Jf, and join GH....
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...Then if 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, make EF equal to ED, [I. 3. and bisect BF at G ; [1. 10. from the centre ^ G, at the distance \ " )...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...ED are equal to one another, it is a square, and what was required is now done. EUCLID'S ELEMENTS. But if they are not equal, produce one of them BE to F, make EF equal to ED, [I. 3. and bisect at G; from the BF [I. 10. centre G, at the distance GB, or GF,...
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