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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

## 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...

## Explorations in Mathematics

A.A. Hattangadi - Mathematical recreations - 2002 - 262 pages
...these attempts will be given in this chapter. 1.1 Introduction It has been known since ancient times that the ratio of the circumference of a circle to its diameter is a constant of value, approximately 22 / 7. It is usually represented by the Greek letter n or Pi (pronounced...

## Insights to the Daf, Volume 5

Kolel ʻIyun ha-daf (Jerusalem) - Talmud - 2005 - 312 pages
...circle is 3, then the diameter is 1 ) . How do we reconcile this statement with the mathematical fact that the ratio of the circumference of a circle to its diameter is slightly more than three (pi = 3.14159...)? ANSWERS: (a) The TOSFOS HA'ROSH explains that the Gemara...

## Fibonacci's De Practica Geometrie

Barnabas Hughes - Mathematics - 2007 - 412 pages
...we obtain the area of that circle. [194] It remains to be shown how Archimedes the Philosopher found that the ratio of the circumference of a circle to its diameter is three and a seventh. I am not going to repeat the beautiful demonstration with his numbers since smaller...

## In the Name of Education

Jonas E. Alexis - Religion - 2007 - 413 pages
...thrown into the fire and burned.— John 15:6.410 In two places, for instance, the Good Book states that the ratio of the circumference of a circle to its diameter is 3:1 (1 Kings 7:23-26 and II Chronicles 4:2-5). As an approximation of the constant, this is not impressive....

## The Mathematics of Egypt, Mesopotamia, China, India, and Islam: A Sourcebook

Victor J. Katz, Annette Imhausen - Mathematics - 2007 - 712 pages
...is 71 2266/3454 pu. By the more approximate ratio, the area is 71 2041/3454 pu. Both methods agree that the ratio of the circumference of a circle to its diameter is not 3:1 . Men in the past have assumed that the ratio of the areas of an inscribed circle and the square...

## The Thirteen Books of Euclid's Elements

Euclid - 452 pages
...explanation, gives out that gives approximate values for the square roots of several large numbers, and proves that the ratio of the circumference of a circle to its diameter is less than 3} but greater than 3|£, (4) that the first approach to the rapidity with which the decimal...