 | Francis Henney Smith - Mathematics - 1841 - 46 pages
...spheroid, and their segments ; — Snellius, a dutchman, who published a work on the approximation of the ratio of the circumference to the diameter of a circle, and Albert Girard a Fleming, who first gave the rule for determining the area of spherical triangles... | |
 | Eli Todd Tappan - Geometry, Modern - 1864 - 288 pages
...>^=a2+ I o I Hence, a = -Jr2 — 7 = 2 i/4r2 — *2. 493. Problem. — To find the approximate value of the ratio of the circumference to the diameter of a circle. Suppose a regular hexagon whose perimeter is unity. - Then its side is \ or .166667, and its radius... | |
 | Education - 1868 - 504 pages
...thus, 3.14159, and this number is fixed indelibly in the minds of all mathematicians as an expression of the ratio of the circumference to the diameter of a circle sufficiently accurate for any possible practical purpose of man. As a matter of mathematical curiosity,... | |
 | Eli Todd Tappan - Geometry - 1868 - 432 pages
...right angled triangle, (g \2 2 I Hence, a = -»/r2 — 493. Problem — To find the approximate value of the ratio of the circumference to the diameter of a circle. Suppose a regular hexagon whose perimeter is unity. Then its side is £ or .166667, and its radius... | |
 | Eli Todd Tappan - Geometry - 1873 - 288 pages
...= «2+ I s I Hence, a = +r-2 — = Ji/4r2 — «-2. 493. Problem — To find the approximate value of the ratio of the circumference to the diameter of a circle. Suppose a regular hexagon whose perimeter is unity. Then its side is & or .166667, and its radius is... | |
 | American Philosophical Society - Electronic journals - 1880 - 728 pages
...555-7. 66. Lunar-cyclical Rainfall in the northern Temperate '/.one. Xov. 1, 1872, P. xii, 558-9. 67. Oscillatory Forces in the Solar system ; harmonies...ratio of the circumference to the diameter of a circle (Forbes, 1880). Feb. 7, 1873, P. xiii, .140-1. 68. Estimate of solar mass and distance from the equilibrium... | |
 | American Philosophical Society - Electronic journals - 1882 - 718 pages
...Temperate Xone. Xov. I, 1873, P. xii, 558-9. (17. Oscillatory Forres in the Solar system ; harmonics of apsidal and mean planetary positions and moments...ratio of the circumference to the diameter of a circle (Forbes, 1880). Feb. 7. 1878, P. xlli, 140-1. 68. Estimate of solar mass and distance from the equilibrium... | |
 | Encyclopedias and dictionaries - 1888 - 916 pages
...(Aim., vi. 7 ; vol. L О «Q p. 421, ed. Halma) takes 3» 8' 30*, ie, 3 + — -f ^ =3-1416, as the value of the ratio of the circumference to the diameter of a circle, and adds that, as had been, shown by Archimedes, it lie) between Ц and 3f}. The foundation of spherical... | |
 | Encyclopedias and dictionaries - 1890 - 986 pages
...therefore, by simply continuing this process long enough, we may obtain as accu rate a value as we choose of the ratio of the circumference to the diameter of a circle. To show how the theory of probabilities would tend, if generally known, to the discouragement of gambling,... | |
 | Education - 1898 - 956 pages
...dissection proofs of the Pythagorean theorem best suited to the grades. 9. Find an approximate value of the ratio of the circumference to the diameter of a circle by some method which might be used with the advanced students of a district school. 10. Some historic... | |
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To find the approximate value of the ratio of the circumference to the diameter of a circle. 
