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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 ... - Seite 57
von Alexander Ingram - 1799 - 351 Seiten
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The first two books of the Elements of Euclid, with additional figures ...

Euclides - 1852 - 152 Seiten
...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 them BE toF, 113 BOOK tt and make EF equal to ED and bisect BF in G; and from the centre G, at the distance...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 Seiten
...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...produce one of them BE to F, and make EF equal to ED; 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 first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 Seiten
...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...produce one of them be to f, and make ef equal to e (L and bisect bf in g; and from the centre g, at the distance gb or g ff describe the semicircle...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 Seiten
...rectilineal figure A. If then the sides of it, BE, ED, are equal to one another, it is a (30 Def.) square, and what was required is now done : But if they are not equal, produce one of them BE to F, and make (3. i.) EF equal to ED, and bisect (10. i.) BF in G ; and from the centre G, at the distance GB, or...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - 1854 - 534 Seiten
...45 I. Describe the rectangle BD = A. * Then, if the sides of it, B Ja ED aro equal, it is a square, and what was required is now done; but if they are not equal! + 10 I. prolong one of them, BE to F, and make EF = E D. Bisect BF in G t and with centre G and radius...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 270 Seiten
...sides BE and ED of the rectangle BD 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 (I. 3) EF equal to ED. Bisect (I. 10) BF in G. From the centre G, at thp distance GB or GF, describe...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 Seiten
...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 produce...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 Seiten
...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 O, at the distance GB, or GF, describe the semicircle BHF,...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 Seiten
...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 now done. But if they are...produce one of them, BE to F, and make EF equal to ED ; bisect BF in G, (i. 10) and from the centre G, at the distance GB, or GF, describe the semicircle...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 Seiten
...sides of it, BE, ED, are equal to one another, it is a square, and what was required is now done. 2. But if they are not equal, produce one of them, BE, to F, and / A make EF equal to ED. (I. 3.) 3. Bisect BF in G (I. 10), and from the centre G, at the distance...
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