The quadrature of the circle, the square root of two, and the right-angled triangle, by William Alexander Myers.

QUADRATURE OF THE CIRCLE. 113 1555613090938580753 -bultiplying this by tangent No. 7 we have 1099984565505235876 -5224779842639686625468648065798177627126514337489817601 3719716313591640029823644051645720435317842392159581760 secant No. 7. By Case 7, the numerator of the secant is 15556130909385807535 -224779842639686625468648065798177627126514337489817601, and the given radius is the 1/2 Then, by division, we have 155561309093858075352247798426396 --/2 = sine No. 7. 86625468648065798177627126514337489817601 = sne N 7 By Cae 7, 155561309093858075352247798426396866 -By Case, t scant s 109998456550523587637197163135916400 -25468648065798177627126514337489817601 and the radius is the 29823644051645720435317842392159581760 ad the radius s the square root of two. 2199969131010471752743943262718328 -Then, by division, we have 155561309093858075352247798426396. 0059647288103291440870635684784319163520 86625468648065798177627126514337489817601 cosine No 7 278891833058856418130859753892 -By Case 6, the scant No. 6 s 197206306373463926398445507329 -4774401 15556130938580753522477984263968662546864806579 -9118880 - 109998456550523587637197163135916400298236440516 -8177627126514337489817602 45720435317842392159581760'. 1555613090938580753522477 -And, by Case 7, the secant No. 7 is 1555309 5873 77 10999845655052358763719716 -9842639686625468648065798177627126514337489817601 313591640029823644051645720435317842392159581760' Therefore 1 10999845655052358763719716313591640029823644051 -64572043531784231 60 has been deducted from the assumed 645720435317842392159581760 radius, and twice that amount from the assumed diameter. 8

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Title
The quadrature of the circle, the square root of two, and the right-angled triangle, by William Alexander Myers.
Author
Myers, William Alexander.
Canvas
Page 102
Publication
Cincinnati,: Wilstach, Baldwin & co., printers,
1874.
Subject terms
Circle-squaring

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"The quadrature of the circle, the square root of two, and the right-angled triangle, by William Alexander Myers." In the digital collection University of Michigan Historical Math Collection. https://name.umdl.umich.edu/acm7834.0001.001. University of Michigan Library Digital Collections. Accessed May 23, 2025.
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