"Napier based his explanations upon... (1) The geometrico-mechanical concept of flowing points, (2) the relations which exist between arithmetic and geometric series. Several writers before the time of Napier called attention to... relations between the terms of a geometric series and... arithmetic series, which... involve the logarithmic idea... [b]ut did not realize the possibilities... nor... conceive and execute... computing a pair of corresponding series sufficiently dense for practical use..."
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History of logarithms
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