File:Approximately squaring the circle.svg

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Original file (SVG file, nominally 720 × 720 pixels, file size: 23 KB)

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Description Ramanujan's construction of an approximate value of . If , then , see Squaring the circle.djvu
Date
Source

Own creation using eukleides and inkscape. The eukleides code is as follows: 

box(-1, 6, 7, -2)

P = point(0, 2)
R = point(6, 2)
PR = segment(P, R)
draw(PR)

c1 = circle(P, R)
O = center(c1)
draw(c1)

H = barycenter(P, O)
draw(H)

T = barycenter(O, 1, R, 2)
Q0 Q intersection(perpendicular(PR, T), c1)
TQ = segment(T, Q)
draw(TQ)

c2 = circle(R, length(TQ))
S S0 intersection(c1, c2)
RS = segment(R, S)
draw(RS)

PS = segment(P, S)
draw(PS)

N = intersection(parallel(RS, T), line(P, S))
TN = segment(T, N)
draw(TN)

M = intersection(parallel(RS, O), line(P, S))
OM = segment(O, M)
draw(OM)

PM = segment(P, M)
c3 = circle(P, length(PM))
K K0 intersection(c1, c3)
PK = segment(P, K)
draw(PK)

MN = segment(M, N)
c4 = circle(P, length(MN))
L L0 intersection(perpendicular(PR, P), c4)
PL = segment(P, L)
draw(PL)

RL = segment(R, L)
draw(RL)

RK = segment(R, K)
draw(RK)

KL = segment(K, L)
draw(KL)

RH = segment(R, H)
c5 = circle(R, length(RH))
C0 C intersection(line(R, K), c5)
D = intersection(parallel(KL, C), line(R, L))
CD = segment(C, D)
draw(CD)

draw("C", C, 0.1, 315:)
draw("D", D, 0.1, 70:)
draw("H", H, 0.1, 270:)
draw("K", K, 0.1, 250:)
draw("L", L, 0.1, 180:)
draw("M", M, 0.1, 120:)
draw("N", N, 0.1, 120:)
draw("O", O, 0.1, 270:)
draw("P", P, 0.1, 180:)
draw("Q", Q, 0.1, 75:)
draw("R", R, 0.1, 0:)
draw("S", S, 0.1, 30:)
draw("T", T, 0.1, 45:)
Author GrafZahl
Permission
(Reusing this file)		 Ineligible for copyright, I believe, because both image and construction are in the public domain.
This work is ineligible for copyright and therefore in the public domain because it consists entirely of information that is common property and contains no original authorship.

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Date/TimeThumbnailDimensionsUserComment
current20:13, 14 July 2007Thumbnail for version as of 20:13, 14 July 2007720 × 720 (23 KB)GrafZahl (talk | contribs){{Information |Description=Ramanujan's construction of an approximate value of <math>\sqrt{\pi}</math>. If <math>|OR|=1</math>, then <math>|RD|^2=3.1415929\ldots\approx\pi</math>, see Image:Squaring the circle.djvu |Source=Own creation using [[w:euk

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