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 370
the given circles, describe a circle ; from B draw a tangentBC to the circle so described. Join AC and produce it to meet the circumference at D.Draw the radius BE parallel to AD, and on the same side of AB ;and join DE. Then DE shall touch both circles. For BE and CD are equal and parallel lines.… … Since two tangents can be drawn from B to the described circle, twosolutions can be obtained ; and the two straight lines which are thus APPENDIX. BOOK III. xxvii drawn to touch the two given circles can be shewn to meet AB, pro-duced through B, at the same point T. The construction is…
Euclid's Elements · Geometry · Mathematics, Greek
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