on the perimeter of an ellipse

نویسندگان

a. ansari

department of mathematics, islamic azad university, gachsaran-branch, gachsaran, iran.

چکیده

let e be the ellipse with major and minor radii a and b respectively, and pbe its perimeter, then p = lim 4 tan(p/n)(a + b + 2) σ a2 cos2 (2k-2)pi/n+ sin2 (2k-2)pi/n; where n = 2m. so without considering the limit, it gives a reasonable approxi-mation for p, it means that we can choose n large enough such that the amountof error be less than any given small number. on the other hand, the formulasatis es both limit status b→a and b→0 which give respectively p = 2a andp = 4a.

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منابع مشابه

On The Perimeter of an Ellipse

Let E be the ellipse with major and minor radii a and b respectively, and Pbe its perimeter, then P = lim 4 tan(p/n)(a + b + 2) Σ a2 cos2 (2k-2)Pi/n+ sin2 (2k-2)Pi/n; where n = 2m. So without considering the limit, it gives a reasonable approxi-mation for P, it means that we can choose n large enough such that the amountof error be less than any given small number. On the other hand, the form...

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عنوان ژورنال:
نظریه تقریب و کاربرد های آن

جلد ۶، شماره ۲، صفحات ۱-۶

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