On the pedal of an ellipse and on some constructions concerning ellipse
نویسندگان
چکیده
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...
متن کاملMore on the Pedal Property of the Ellipse
In this note we prove that if a convex body in the three dimensional Euclidean space has the pedal property of the ellipse, then it is an ellipsoid of revolution. We also give a family of curves in the plane with exactly one point which behaves, in some sense, like a focus on an ellipse. Finally, we study another property of the ellipse which we name the harmonic property and prove that a conve...
متن کاملon 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 formul...
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Computing accurate approximations to the perimeter of an ellipse is a favourite problem of mathematicians, attracting luminaries such as Ramanujan [1, 2, 3]. As is well known, the perimeter, , of an ellipse with semimajor axis a and semiminor axis b can be expressed exactly as a complete elliptic integral of the second kind, which can also be written as a Gaussian hypergeometric function, (1) ...
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the central purpose of this study was to conduct a case study about the role of self monitoring in teacher’s use of motivational strategies. furthermore it focused on how these strategies affected students’ motivational behavior. although many studies have been done to investigate teachers’ motivational strategies use (cheng & d?rnyei, 2007; d?rnyei & csizer, 1998; green, 2001, guilloteaux & d?...
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky a fysiky
سال: 1909
ISSN: 1802-114X
DOI: 10.21136/cpmf.1909.120854