The elements of Euclid for the use of schools and colleges; comprising the first six books and portions of the eleventh and twelfth books; (1903)
Euclid, Todhunter, I. (Isaac), 1820-1884, ed. edt, Simson, Robert, 1687-1768, ed. edt · London; New York, Macmillan · leaf 390
S ELEMENTS. In a similar maimer another solution may be obtained by joining AB.If the given straight line falls without the given circle, the circleobtained by the first solution touches the given circle externally, andthe circle obtained by the second solution touches the given circleinternally.… … Let A and B be the given points. Take any point C on the circum-ference of the given circle, and describe a circle through A, B, C. Ifthis described cjircle touches the given circle, it is the required circle.But if not, let D be the other point of intersection of the two circles.Let AB and CD be…
Euclid's Elements · Geometry · Mathematics, Greek
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