 | Benjamin Greenleaf - Arithmetic - 1850 - 368 pages
...the diameter of a circle to its inscribed square is as 1 to .707106; we have also seen in Problem IV. that the ratio of the circumference of a circle to its diameter is as 3.141592 to 1; therefore, the ratio of the circumference of a circle to its inscribed square is... | |
 | Physics - 1862 - 496 pages
...surface in 22 the circle is -y- r*, or rather (3.14159) r2. It has been proved in a variety of ways that the ratio of the circumference of a circle to its diameter is about 22 : 7, or, rather, 3.14159 : 1 ; wherefore, if c be the circumference, 22 c : 2r :: 22 : 7,... | |
 | Richard Wormell - Geometry, Modern - 1868 - 286 pages
...approaches more and more nearly the circumference of the circle circumscribing it. We conclude therefore that the ratio of the circumference of a circle to its diameter is always the same. The constant number which expresses the value of this ratio cannot be found exactly.... | |
 | Richard Wormell - Geometry, Plane - 1870 - 304 pages
...approaches more and more nearly the circumference of the circle circumscribing it. We conclude therefore that the ratio of the circumference of a circle to its diameter is always the same. The constant number which expresses the value of this ratio cannot be found exactly.... | |
 | Richard Wormell - 1876 - 268 pages
...approaches more and more nearly the circumference of the circle circumscribing it. \Ve conclude, therefore, that the ratio of the circumference of a circle to its diameter is always the same. The constant value of this ratio cannot be expressed exactly by any finite number.... | |
 | Milton Browning Goff - Arithmetic - 1876 - 462 pages
...a circle equals the product of the circumference, by one-half the radius. It is proven in Geometry, that the ratio of the circumference of a circle to its diameter is 3.14159, nearly. By means of this truth we deduce various rules for determining different parts of... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...Inscribe an equilateral and equiangular hexagon in a given circle. II. Elements of Geometry. II. 1. Prove that the ratio of the circumference of a circle to its diameter is invariable. Taking this ratio as 2T2, find the length of an arc, subtending an angle of i° at the... | |
 | Education - 1882 - 676 pages
...1-6735922. Difference = 31. But difference for i =92, and ££= -337 nearly. Thus x= -47 162337. Ans. (3). i 34. Find in degrees and decimals, an arc equal | in...the ratio to be 22 : 7, and in which direction? (20) First: arc = J x-àJîJ x збо° = 57'29577. Second: arc = $xTT7 x 360° = 57-27272. Thus the first... | |
 | John Bascombe Lock - 1882 - 378 pages
...as 180 stands for the number one hundred and eighty, and for nothing else. 30. We proceed to prove that the ratio of the circumference of a circle to its diameter is the same for all circles. The proof depends on the following important principle ; The length of the... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...1. Assuming that a circle may be treated as a regular polygon with an infinite number of sides, shew that the ratio of the circumference of a circle to its diameter is constant. What is the circular measure of the least angle whose sine is j, and what is the measure... | |
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It follows that the ratio of the circumference of a circle to its diameter is the same for all circles. 
