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" Ten decimals are sufficient to give the circumference of the earth to the fraction of an inch, and thirty decimals would give the circumference of the whole visible universe to a quantity imperceptible with the most powerful microscope. "
Monographs on Topics of Modern Mathematics, Relevant to the Elementary Field - Page 398
edited by - 1911 - 416 pages
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Elements of Geometry

Simon Newcomb - Geometry - 1881 - 418 pages
...383 279 502 884. The result is here carried far beyond all the wants of mathematics. Ten decimals are sufficient to give the circumference of the earth...quantity imperceptible with the most powerful microscope. EXERCISES. 1. Assuming the radius of a circle to be 5 metres, compute, by the process of ยง 475, the...
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The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...38,462,643,383,279,502,884. The result is here carried far beyond all the requirements of Mathematics. Ten decimals are sufficient to give the circumference of the earth...quantity imperceptible with the most powerful microscope. CONCLUSION. In the foregoing Treatise we have given the elementary Geometry of the Point, the Line,...
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The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885 - 340 pages
...38,462,643,383,279,502,884. The result is here carried far beyond all the requirements of Mathematics. Ten decimals are sufficient to give the circumference of the earth...quantity imperceptible with the most powerful microscope. CONCLUSION. In the foregoing Treatise we have given the elementary Geometry of the Point, the Line,...
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The Elements of Plane and Solid Geometry ...

Edward Albert Bowser - Geometry - 1890 - 418 pages
...3.14159265358979323846. (437) This result is far beyond all the wants of mathematics. Ten decimals are sufficient to give the circumference of the earth...imperceptible with the most powerful microscope.* EXERCISES. 1. The area of the regular inscribed hexagon is equal to twice the area of the inscribed...
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Elements of Geometry: Plane and Solid

John Macnie - Geometry - 1895 - 386 pages
...fifteen, more than sufficient for any useful purpose, are ir = 3.141592653589793. Ten decimals are sufficient to give the circumference of the earth...quantity imperceptible with the most powerful microscope. DIVISION OF CIRCUMFERENCE. PROPOSITION XVII. PROBLEM. 414. The diameter being given, to find a line...
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Science and Industry: 1898-99, Volume 3

Science - 1899 - 676 pages
...calculation to over seven hundred places, which is far beyond the requirements of mathematics. Ten places are sufficient to give the circumference of the earth to the fraction of an inch, and thirty places would give the circumference of the visible universe to a quantity imperceptible with a microscope....
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Monographs on Topics of Modern Mathematics, Relevant to the Elementary Field

Jacob William Albert Young - Mathematics - 1911 - 434 pages
...places, using the formula 7 = tan~i ^ +tan~L; +tan~io; Richtcr, who extended the value to 500 decimsl 8 places, and Shanks, who carried it to 700 decimal...computations revealed nothing concerning the real nature of 7i, nothing as to whether it is rational or irrational, and nothing as to its possible transcendental...
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The Teaching of Geometry

David Eugene Smith - Geometry - 1911 - 370 pages
...sufficient to give the circumference of the earth to the fraction of an inch, and thirty decimal places would give the circumference of the whole visible...imperceptible with the most powerful microscope." Probably the earliest approximation of the value of TT was 3. This appears very commonly in antiquity,...
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The Teaching of Geometry

David Eugene Smith - Geometry - 1911 - 360 pages
...satisfactory approximation. Indeed, the late Professor Newcomb stated that "ten decimal places are sufficient to give the circumference of the earth to the fraction of an inch, and thirty decimal places would give the circumference of the whole visible universe to a quantity imperceptible...
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A Budget of Paradoxes, Volume 1

Augustus De Morgan - Circle-squaring - 1915 - 426 pages
...made the matter plain even to the non-mathematical mind, when he said that "ten decimal places are sufficient to give the circumference of the earth to the fraction of an inch, and thirty decimal places would give the circumference of the whole visible universe to a quantity imperceptible...
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