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" It follows that the ratio of the circumference of a circle to its diameter is the same for all circles. "
Yale University Entrance Examinations in Mathematics: 1884 to 1898 - Page 186
1898 - 208 pages
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How to Teach the Critical Difficulties of Arithmetic: To Accompany the ...

Mary Anna Ward - Arithmetic - 1915 - 48 pages
...area of the entire outer surface of the above tank* (Include cover.) 60. Tell some method of proving that the ratio of the circumference of a circle to its diameter is 3f. 61. A cistern filled with water is 6 feet in diameter and 40 feet deep. How many gallons of water...
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The Dial: A Semi-monthly Journal of Literary Criticism ..., Volume 60

Francis Fisher Browne, Scofield Thayer, Waldo Ralph Browne - 1916 - 460 pages
...another way, who convince themselves and endeavor to convince others that they have discovered not only that the ratio of the circumference of a circle to its diameter is exactly commensurable, but also just precisely what that measured ratio is. With the quadrating gentry...
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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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Pupils' Self-instruction Arithmetic, Volume 3

Mary Anna Ward - Arithmetic - 1925 - 316 pages
...lot 25 feet by 114 feet. How many cubic yards of earth were removed ? 14. State a method of proving that the ratio of the circumference of a circle to its diameter is 8y. 15. With the aid of a problem and diagram, show that the formula for the area of the convex surface...
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Course of Study in Arithmetic: Grades I-VIII.

Baltimore County (Md.) Board of education, Baltimore County (Md.). Board of School Commissioners - Arithmetic - 1926 - 310 pages
...diameter will be approximately 3Jf . 3. Pupils should now make these generalizations: C = Tell pupils that the ratio of the circumference of a circle to its diameter is represented by the Greek letter *. (pronounced pi). The value of ir can be found only approximately;...
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Manual of the Public Examinations Board

University of Adelaide. Public Examinations Board - Examinations - 1928 - 1280 pages
...AB=BC=CD=DE=EF, each of these chords being equal to the radius. Prove that FA is also equal to the mdius. Show that the ratio .of the circumference of a circle to its diameter is greater than three. 4. (i) What is meant by saying that two triangles, ABC and DEF, are similar? If...
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Great Ideas of Modern Mathematics, Their Nature and Use

Jagjit Singh - Science - 1959 - 340 pages
...middle, Brouwer cited a 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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De Arte Mensurandi

Johannes de Muris, Hubertus Lambertus Ludovicus Busard - History - 1998 - 398 pages
...that he also wrote Chapter VII51. * * * Chapter VIII, Part 1. Prop. 1: It is necessary to demonstrate that the ratio of the circumference of a circle to its diameter is less than 3y and greater than 3|. See for an English translation and commentary Clagett III (1978),...
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Essays on the Future: In Honor of Nick Metropolis

Siegfried Hecker, Gian-Carlo Rota - Science - 2000 - 298 pages
...thought and concept, and the accuracy of its results. Yet one of the first things that we learn is that the ratio of the circumference of a circle to its diameter is TT . And what is the value of nl Here we can give only an approximate answer, albeit a very accurate...
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