Elements of geometry : containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids : to which are added, Elements of plane and spherical geometry (1826)
Playfair, John, 1748-1819, Euclid · Philadelphia : Marot & Walter · leaf 170
56—:N; ex fequo per-turb. 999.46458 + : 999.46458 : : N : M ; and, since the first isgreater than the second, the third is greater than the fourth, or N isgreater than M. Now, if a fourth proportional be found to 999.46458, 1000 andg282.1058, viz. 6285.461—, then, because, 999.46458 : 1000 ll… … 461—is greater than N, the fourth. But N was proved to be greaterthan M; much more, therefore, is 6285.461 greater than M, the peri-meter ofapolygon of ninety-six sides circumscribed about the circle;that is, the perimeter of that polygon is less than 6285.461: now,the circumference of the circle…
Euclid's Elements · Geometry · Trigonometry
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