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" In the same manner, it may be demonstrated that the straight lines EC, ED, are each of them equal to EA or EB ; therefore the four straight lines EA, EB, EC, ED, are equal to one another ; and the circle described from the centre E, at the distance of... "
Books 3-9 - Page 95
by Euclid - 1908
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...manner, it may be demonstrated, that the straight lines EC, ED are each of them equal to EA, or EB ; therefore the four straight lines EA, EB, EC, ED, are equal to one another; and the circle described from the centre E, at the distance of one of them, must pass through, the...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 pages
...same manner it may be demonstrated that the straight lines EC, ED are each of them equal to EA or EB ; therefore the four straight lines EA, EB, EC, ED are equal to one another : and the circle described from the centre E, at the distance of one of them, shall pass through the...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 pages
...manner it may be demonstrated, that the straight lines EC, ED are each of them equal to EA or EB : therefore the four straight lines EA, EB, EC, ED are equal to one another; and the circle described from the centre E, at the distance of one of them, will pass through the extremities...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 pages
...manner, it may be demonstrated that the straight lines EC, ED are each of them equal to EA, or EB ; therefore the four straight lines EA, EB, EC, ED are equal to one another ; and the circle described from the centre E, at the distance of one of them, shall pass through the...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...in like manner, it may be shewn that the straight lines EC, ED are each of them equal to EA, or EB : Therefore the four straight lines EA, EB, EC, ED are equal to one another, and the circle described from the centre E, at the distance of any one of them, shall pass through...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...manner, it may be demonstrated that the straight lines EC, ED are each of them equal to EA, or EB ; therefore the four straight lines EA, EB, EC, ED are equal to one another ; and the circle described from the centre E, at the distance of one of them, shall pass through the...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 pages
...may be demonstrated that 5. The straight lines EC, ED, are each of them equal to EAorEB; therefore 6. The four straight lines EA, EB, EC, ED, are equal to one another ; and the circle described from the centre E, at the distance of one of them, shall pass through the...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...manner it may be demonstrated, that the straight lines EC, ED are each of them equal to EA or EB : therefore the four straight lines EA, EB, EC, ED are equal to one another ; and the circle described from the center E, at the distance of one of them, will pass through the...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 pages
...manner it may be demonstrated that the straight lines EC, ED, are each of them equal to EA or EB ; therefore the four straight lines EA, EB, EC, ED, are equal to me another ; and the circle described from the centre E, at the distance of one of them, shall pass...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 pages
...manner it may be demonstrated, that the straight lines EC, ED are each of them equal to EA or EB : therefore the four straight lines EA, EB, EC, ED are equal to one another ; and the circle described from the center E, at the distance of one of them, will pass through the...
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