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" 6. It is proved in Geometry that the ratio of the circumference of any circle to its diameter is about 3y, or more accurately 3.1416. If then, the diameter of a circle is known, how may the circumference be found without measurement? "
Book III - Page 80
by George William Myers - 1908
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On the study and difficulties of mathematics [by A. De Morgan].

Augustus De Morgan - 1831 - 108 pages
...finding the number of degrees, minutes, and seconds in an angle, whose theoretical measure is given. It is proved in geometry that the ratio of the circumference of a circle to its diameter, or that of half the circumference to its radius, though it cannot be expressed...
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Library of Useful Knowledge: On the study and difficulties of mathematics ...

Mathematics - 1836 - 530 pages
...finding the number of degrees, minutes, and seconds in an angle, whose theoretical measure is given. It is proved in geometry that the ratio of the circumference of a circle to its diameter, or that of half the circumference to its radius, though it cannot be expressed...
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The Works of Archimedes

Archimedes - Geometry - 1897 - 524 pages
...before Proposition 3, as the approximation depends upon the result of that proposition,] Proposition 3. The ratio of the circumference of any circle to its diameter is less than 3} but greater than 3 jf. [In view of the interesting questions arising out of the arithmetical...
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The Works of Archimedes

Archimedes - Geometry - 1897 - 532 pages
...before Proposition 3, as the approximation depends upon the result of that proposition.] Proposition 3. The ratio of the circumference of any circle to its diameter is less than 3f but greater than 3 jf. [In view of the interesting questions arising out of the arithmetical...
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On the Study and Difficulties of Mathematics

Augustus De Morgan - Algebra - 1898 - 316 pages
...finding the number of degrees, minutes, and seconds in an angle, whose theoretical measure is given. It is proved in geometry that the ratio of the circumference of a circle to its diameter, or that of half the circumference to its radius, though it cannot be expressed...
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Rational Grammar School Arithmetic

George William Myers, Sarah Catherine Brooks - Arithmetic - 1903 - 424 pages
...Ratio 5. Find the ratio of the circumferences to the diameters of the coins of problem 27, p. 114. 6. It is proved in Geometry that the ratio of the...circumference of any circle to its diameter is about 3}, or more accurately 3.1416. If then, the diameter of a circle is known, how may the circumference...
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Rational Grammar School Arithmetic

George William Myers - 1906 - 440 pages
...table: 5. Find the ratio of the circumferences to the diameters of the coins of problem 27, p. 108. 6. It is proved in Geometry that the ratio of the...circumference of any circle to its diameter is about 3|, or more accurately 3.1416. If then, the diameter of a circle is known, how may the circumference...
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Myers-Brooks Grammar School Arithmetic

George William Myers, Sarah Catherine Brooks - Arithmetic - 1907 - 432 pages
...table: 5. Find the ratio of the circumferences to the diameters of the coins of problem 27, p. 90. 6. It is proved in Geometry that the ratio of the...circumference of any circle to its diameter is about 3^, or more accurately 3.1416. If then, the diameter of a circle is known, how may the circumference...
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Elementary Trigonometry

William Ernst Paterson - Logarithms - 1911 - 262 pages
...The line joining the external point to the centre bisects the angle between the tangents. Prop. 25. The ratio of the circumference of any circle to its diameter is the same for all circles. This ratio is denoted by the symbol IT ; its value is 3'1416 correct to five...
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Myers Arithmetic for Grammar Schools

George William Myers - Arithmetic - 1912 - 410 pages
...their circumferences to their diameters. If no circles are at hand use the measures of the table. 4. It is proved in Geometry that the ratio of the circumference...may the circumference be found without measurement? 5. Find the average of all the values of the ratios found in problems 1 to 3 and compare this last...
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