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" The ratio of the length of the circumference of a circle to its diameter is usually denoted in works on mathematics and mechanics by the Greek letter n- (pronounced like the English word 'pie'), and is 3 . 14159 .... This number is 'incommensurable,'... "
Practical Work in General Physics for Use in Schools and Colleges - Page 14
by Walter George Woollcombe - 1894 - 83 pages
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Dynamics; or, Theoretical mechanics

James Thomson Bottomley - Mechanics - 1877 - 152 pages
...radius of the circle being r, the length of the circumference is equal to 2Trr, where IT stands for the ratio of the length of the circumference of a circle to the length of the diameter, and is numerically equal to 3"1416.t Now, as T is the number of seconds...
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Bicycles & Tricycles: An Elementary Treatise on Their Design and ...

Archibald Sharp - Bicycles - 1896 - 574 pages
...measured off equal to the radius OA}, the angle At O A3 will be the unit angle. This is called a radian. The ratio of the length of the circumference of a circle to its diameter is usually denoted in works on mathematics and mechanics by the Greek letter JT (pronounced...
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Bicycles & Tricycles: An Elementary Treatise on Their Design and ...

Archibald Sharp - Bicycles - 1896 - 580 pages
...measured off equal to the radius OA,, the angle A, O A3 will be the unit angle. This is called a radian. The ratio of the length of the circumference of a circle to its diameter is usually denoted in works on mathematics and mechanics by the Greek letter n (pronounced...
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Elementary Practical Physics: A Laboratory Manual for Beginners

William Watson - Physics - 1896 - 264 pages
...of the diameter into the length of the circumference is the same for all circles, or, more shortly, the ratio of the length of the circumference of a circle to the length of the diameter is constant. The Value of TT. — It can be proved by geometry that the...
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Elementary Trigonometry

William Ernst Paterson - Logarithms - 1911 - 262 pages
...the hour, minute, and second hands of a watch respectively turn between 12h 30' am and 5'' 3' am ? 6. The ratio of the length of the circumference of a circle to the length of its diameter is the same for all circles. This constant value is denoted by the Greek...
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Mathematics for Agricultural Students

Henry Charles Wolff - Mathematics - 1914 - 332 pages
...102 the sum of such terms as i = /3 the sum of such terms as, . . ., 2 asi varies from a to /3. 7T the ratio of the length of the circumference of a circle to the length of its diameter. An approximate value of TT is 22/7. A better approximation is 3.1416. e...
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Domestic Science, Part 1

Charles William Hales - Home economics - 1915 - 352 pages
...that " the length of the circumference of a circle is TT times the length of its diameter ", or that " the ratio of the length of the circumference of a circle to that of its diameter is TT ". This method of measurement may be applied to curved lines other than...
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Applied Mathematics for Junior High Schools and High Schools

Eugene Henry Barker - Mathematics - 1920 - 264 pages
...20 rd. ST, 65 rd. TF, 48 rd. TO, 58 rd. GQ, 60 rd. QA, 123.5 rd. Circles ir and Its Application. — The ratio of the length of the circumference of a circle to its diameter is always the same regardless of the size of the circle. Measure as carefully as possible...
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Algebra

William Raymond Longley, Harry Brooks Marsh - Algebra - 1926 - 608 pages
...units long. The ratio of the length ' of the diagonal to the length of the edge is Vs. The number w. The ratio of the length of the circumference of a circle to the length of its diameter is incommensurable and is denoted by the Greek letter тг. The value of...
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Wittgenstein and the Turning Point in the Philosophy of Mathematics

Stuart Shanker - Philosophy - 1987 - 378 pages
...the correct value of Ji', nor even that they employed this as a standard for what must be counted as the ratio of the length of the circumference of a circle to the length of its diameter — terms which merely serve to reintroduce the concept of n under another...
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