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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 - Mathematics - 1806 - 320 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; therefore the circle described from the centre E, at the distance of one of them, must pass through the extremities of the other three,...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 546 pages
...Book IV. demonstrated, that the straight lines EC, ED are each of them k— v— ' 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: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 588 pages
...Boo* IV. be demonstrated, that the straight lines EC, ED are each 1~"v^"' 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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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 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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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 1046 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 país through the...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...it may be demonstrated, that the straight ^ v*-' 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 Plane Geometry According to Euclid

Andrew Bell - Euclid's Elements - 1837 - 290 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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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...similar manner it may be demonstrated that the straight lines EC, ED are respectively equal to EA, EB ; therefore the four straight lines EA, EB, EC, ED are equal to one another ; and th« circle described from the centre E, at the distance of one of them, will pass through the...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - Geometry - 1841 - 378 pages
...* 6. 1. 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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