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" TT denotes the number of times the diameter of a circle is contained in the circumference... "
The quadrature of the circle: correspondence between an eminent ... - Seite 58
von James Smith - 1861 - 200 Seiten
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The quadrature of the circle, or The true ratio between the diameter and ...

James Smith - 1865 - 168 Seiten
...in the following way by means of any hypothetical value of TT, it being admitted that TT is adopted to represent the number of times the diameter of a circle is contained in its circumference. Let D represent the diameter, R the radius, SR the semi-radius, and A the area of...
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The Geometry of the Circle and Mathematics as Applied to Geometry by ...

James Smith - 1869 - 459 Seiten
...former and the perpendicular of the latter ; therefore, (M L2 + L B2) - (B T2 — M T2). Now, TT denotes the number of times the diameter of a circle is contained in the circumference : or in other words, TT denotes the circumference of a circle, when the diameter is taken as unity,...
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The geometry of the circle and mathematics as applied to geometry by ...

James Smith - 1869 - 492 Seiten
...former and the perpendicular of the latter ; therefore, (ML * + L B') = (BT* — M T'). Now, TT denotes the number of times the diameter of a circle is contained in the circumference: or in other words, tr denotes the circumference of a circle, when the diameter is taken as unity, and...
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The Quadrature and Geometry of the Circle Demonstrated

James Smith - 1872 - 330 Seiten
...the purpose of ascertaining the ratio of diameter to circumference in a circle, or in other words, the number of times the diameter of a circle is contained in the circumference, no such symbol as ir is required. But, Mathematicians having failed to discover the number of times...
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Elementary Practical Physics: A Laboratory Manual for Beginners

William Watson - 1896 - 264 Seiten
...that an inch on the map represents a mile, express the distance in miles. EXERCISE 16. — To find the number of times the diameter of a circle is contained in the circumference. Apparatus : — Wooden discs of various diameters — -4 in., 6 in., 8 in., and about I in. thick ;...
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Algebra: First Course

Edith Long, William Charles Brenke - 1913 - 300 Seiten
...perigon. Angle measure: 360 degrees make a perigon. 2 IT radians make a perigon. The letter x denotes the number of times the diameter of a circle is contained in the circumference; 2w is the number of times that the radius is contained in the circumference. c = wd = 2 wr. TT = 3.14159...
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Algebra, by Maximilian Philip

Maximilian Philip - 1916 - 224 Seiten
...incommensurable with unity but there are other numbers, not surds, which are also incommensurable. Thus Tf the number of times the diameter of a circle is contained in the circumference, is an incommensurable number, its value being approximately 3.14159, or more roughly Щ. 68. Imaginary...
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Pupils' Self-instruction Arithmetic, Band 3

Mary Anna Ward - 1925 - 316 Seiten
...should be over 3. To be exact, your answer should be 3.1416, or about 3y. /. This answer, 3y, tells the number of times the diameter of a circle is contained in its circumference. k. The circumference of a circle is 3y times as long as its diameter. I. How many...
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