The Monthly Magazine, Volume 33Sherwood, Gilbert and Piper, 1812 |
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Page 323
... sides , becomes into a square , we come nearer to the true circular area , by means of only two bisections of the radius , or by laying down the side of the dodecagon , and that of the polygon of twenty - four sides , than could be done ...
... sides , becomes into a square , we come nearer to the true circular area , by means of only two bisections of the radius , or by laying down the side of the dodecagon , and that of the polygon of twenty - four sides , than could be done ...
Page 324
... sides of the polygon of N sides , over the sine of its arch , or the half side of the last preceding polygon in N the series of bisection , taken number 2 of times ; or to the area of the last poly- gon , add N times the rectangle under ...
... sides of the polygon of N sides , over the sine of its arch , or the half side of the last preceding polygon in N the series of bisection , taken number 2 of times ; or to the area of the last poly- gon , add N times the rectangle under ...
Page 326
... side of the inscribed square , or mean proportional between the radius and diameter , expressed arithmetically by √ 2 , is less than the diameter 2 ; their sum will be less than 4 , the square root of which is 2 ; consequently a mean ...
... side of the inscribed square , or mean proportional between the radius and diameter , expressed arithmetically by √ 2 , is less than the diameter 2 ; their sum will be less than 4 , the square root of which is 2 ; consequently a mean ...
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