METHOD FOR OBTAINING FUNCTION VALUES OF CIRCLE AND SPHERE WITH ARBITRARY ACCURACY AND METHOD FOR CALCULATING NUMERICAL STREAM FOR ARBITRARY NUMBER OF DIGITS

摘要

PROBLEM TO BE SOLVED: To easily operate the numerical value of a digit for an arbitrary length by improving the accuracy of various calculations by obtaining a number π, the tangential rate and inverse tangential rate of chord and circular arc and spherical rate W. ;SOLUTION: While defining the midpoint of a line segment of extension 2*R as a center, concerning an equilateral polygon composed of the aggregate of 2'N pieces of isosceles triangles having two side lengths R sharing this point, initial values are made into number n=2, area E1=0, height h1 to bottom side = 0, bottom side length L1=2*R, full peripheral side length of regular polygon = Lλ*2=4*R, for n=1 time, the values are made into number 2'=(n+1), area En+1=R*Ln/4, bottom side length Ln+1=((R-hn)'2+(Ln/2)'2(1/2), height hn+1 to the bottom side = 2*En+1/Ln+1, full peripheral side length of regular polygon = Ln+λ*2'(n+1) and approximate number π = full peripheral side length 2/R, the calculation is repeated for N times corresponding to the required accuracy rate (approximation expression) 1±1/2'(2*N+1), and the full peripheral side length and approximate number of the regular polygon are obtained.;COPYRIGHT: (C)2000,JPO