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 416
es is a straightline which is equal to half their sum. The Geometric mean is a straight line the square on which is equalto the rectangle contained by them. The Harmonic mean is such that the first of the given straight linesis to the other as the excess of the first over the harmonic mean is tothe… … be placed so as to have a common end, and be in the same direction asAB and AC. Bisect BC in O. With centre 0 and radius OB, or OC, describe acircle, and draw tangents AP, AP to this circle. Let PP meetABC in N. Then AO is the Arithmetic, AP the Geometric, and AN the Harmonicmean betiveen AB and…
Euclid's Elements · Geometry · Mathematics, Greek
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