Unity of Purpose Or Rational Analysis Being a Treatise Designed to Disclose Ph
Unity of Purpose Or Rational Analysis Being a Treatise Designed to Disclose Ph
Augustus Young
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And the point in which b a becomes merged in D, is the reciprocal of the point in which A and C become merged in M a by any system. A mean between E and G is = E of twice the sides, until E becomes merged in G. A mean between B and D is = B of twice the sides, until B is merged in D. And a mean between Y and Z is = Y of twice the sides, until Y is merged in Z. Hence, we may very properly consider, that on arriving at the quantities and measures of the circle, all means between similar denotatio...ns are extinguished, or do not exist. Hence, that in the quantities or measures of the circle, there is neither b a, E, B, A, C, or Y, as all those (while they exist) denote polygons of sides. Nevertheless, in the final event, the only proper quantities and measures of the circle, for which we are seeking, are those ex- pressed by M a and D ; and the progressive ratios of M a and D are found, by any system, to coincide in ^. The object of research, however, is to ascertain the point in which b a becomes extinguished in d a, for in the reciprocal of such point A becomes merged or extinguished in Ma; and in a like p, namely, in the circle, B becomes extinguished in D.
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