| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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... | |
| 48 pages
...Since then we have found reasons to believe that the geometry of the universe is non-Euclidean, and **that the ratio of the circumference of a circle to its diameter is** not equal to 77. But the number n still has a meaning; indeed it can be defined without any reference... | |
| 220 pages
...thereby introduced into certain trigonometrical formulae. In the following article, it will be assumed **that the ratio of the circumference of a circle to its diameter is** constant, and that the value of this ratio (always denoted by тг) is 3-14159265.... Thus, if r be... | |
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