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" It follows that the ratio of the circumference of a circle to its diameter is the same for all circles. "
Plane Trigonometry - Page 128
by Daniel Alexander Murray - 1906
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Plane and Solid Geometry

Clara Avis Hart, Daniel D. Feldman - Geometry - 1912 - 504 pages
...of circle ABCD in terms of its diameter; ie to compute the value of TT. ARGUMENT 1. The ratio of the circumference of a circle to its diameter is the same for all circles. 2. Since the diameter of the given circle is ' unity, the side of an inscribed square will be V2. REASONS...
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Solid Geometry

John H. Williams, Kenneth P. Williams - Geometry, Solid - 1916 - 184 pages
...limit varies indefinitely, the limit may be taken as the value of the variable. 405. The ratio of the circumference of a circle to its diameter is the same for all circles. 409. The area of a circle is equal to iT times the square of its radius, or J TT times the square of...
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Great Ideas of Modern Mathematics, Their Nature and Use

Jagjit Singh - Science - 1959 - 340 pages
...statement concerning the decimal representation of the number n. It is known that the ratio of the circumference of a circle to its diameter is the same for all circles, whatever the radius. This number is denoted by the Greek letter jr. Its value is 3-14159 . . .and we...
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Calculus: Basic Concepts and Applications

R. A. Rosenbaum, G. P. Johnson - Mathematics - 1984 - 456 pages
...Mensuration formulas Because all circles are similar to each other (have the same shape), the ratio of the circumference of a circle to its diameter is the same for all circles; , ^ IfHv that is, Cl/dl = C2/d2 in Figure 0-6. This constant ratio is designated by -n, ^ a and its...
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Mathematics for Economists: An Introductory Textbook

Malcolm Pemberton, Nicholas Rau - Business & Economics - 2001 - 634 pages
...twice the radius. The circumference of a circle is the distance all the way round it. The ratio of the circumference of a circle to its diameter is the same for all circles: it is a number called •n between 3 and 4. It may be shown that ir is an irrational number: it cannot...
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