 | Benjamin Greenleaf - 1853 - 380 σελίδες
...triangular beam, that may be hewn from a round piece of timber 80 inches in circumference. Ans. 22.05-f- inches. PROBLEM XII. Having the circumference of a...times .707106 will contain 3.141592. Thus .707106 -5- 3.141592 = .225079 ; therefore, if the circumference of any circle be multiplied by .225079, the... | |
 | Benjamin Greenleaf - 1855 - 366 σελίδες
...obtain the side of an equilateral triangle inscribed. QED 23. How large an equilateral triangle may he inscribed in a circle, whose circumference is 5000...times .707106 will contain 3.141592. Thus .707106 -*- 3.141592 = .225079 ; therefore, if the circumference of any circle be multiplied by .225079, the... | |
 | Benjamin Greenleaf - 1857 - 310 σελίδες
...side of an inscribed square. RULE. — Multiply the circumference by .225079, and tl-.e product it the side of a square inscribed. Rationale. — We...the circumference of a circle to its diameter is as 3.1415S2 to 1; therefore, the ratio of the circumference of a circle to its inscribed square is as... | |
 | 1862 - 496 σελίδες
...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 - 1868 - 286 σελίδες
...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 - 1870 - 304 σελίδες
...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.... | |
 | Milton Browning Goff - 1876 - 462 σελίδες
...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... | |
 | Richard Wormell - 1876 - 268 σελίδες
...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.... | |
 | Great Britain. Education Department. Department of Science and Art - 1877 - 562 σελίδες
...root itself? (20.) 34. Find in degrees and decimals, an arc equal in length to the radius, assuming that the ratio of the circumference of a circle to its diameter is 355 : 113. By how much does the length of arc, thus found, differ from that given by assuming the ratio... | |
 | University of Oxford - 1879 - 414 σελίδες
...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... | |
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It follows that the ratio of the circumference of a circle to its diameter is the same for all circles. 
