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" ... express the ratio between the area of every square and the area of its inscribed circle. Again : Let the area of the circle X be represented by the digit 5, which stands in the centre of our system "of arithmetical notation, and is the arithmetical... "
The Quadrature and Geometry of the Circle Demonstrated - Page 100
by James Smith - 1872 - 269 pages
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The geometry of the circle and mathematics as applied to geometry by ...

James Smith - Mathematics - 1869 - 492 pages
...centre of our system of arithmetical notation, and is the arithmetical mean between the extremes of I and 9, 2 and 8, 3 and 7, and 4 and 6. Then : One pair...of numbers will be 25 and 6-25; and the other pair will be 19-53125 and 8; and v/25~x 6-25 = J19-53125 x 8= ^I56-25 = 12-5. Hence: The mean proportional...
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The Geometry of the Circle and Mathematics as Applied to Geometry by ...

James Smith - Circle-squaring - 1869 - 459 pages
...centre of our system "of arithmetical notation, and is the arithmetical mean between the extremes of i and 9, 2 and 8, 3 and 7, and 4 and 6. Then : One pair...of numbers will be 25 and 6-25; and the other pair will be 19-53125 and 8; and \/2~5" x 6-25 — ^19-53125 x 8 — : ^156-25 = 12-5. Hence: The mean proportional...
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Spectroscopy, Volume 3

Edward Charles Cyril Baly - Spectrum analysis - 1927 - 562 pages
...different because the two terms * and y are interchangeable. Clearly the following pairs are identical, I and 9, 2 and 8, 3 and 7, and 4 and 6, with the result that the possibilities are reduced to five, which may be written as follows : — These...
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Spectroscopy, Volume 3

Edward Charles Cyril Baly - Spectrum analysis - 1927 - 564 pages
...different because the two terms x and y are interchangeable. Clearly the following pairs are identical, I and 9, 2 and 8, 3 and 7, and 4 and 6, with the result that the possibilities are reduced to five, which may be written as follows : — ,...
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