An [b][url=https://en.wikipedia.org/wiki/Ellipse]ellipse[/url][/b] is a [url=https://en.wikipedia.org/wiki/Plane_curve]plane curve[/url] surrounding two [url=https://en.wikipedia.org/wiki/Focus_(geometry)]focal points[/url], such that for all points on the curve, the sum of the two distances to the focal points is a constant.[br][url=https://en.wikipedia.org/wiki/Analytic_geometry]Analytically[/url], the equation of a standard ellipse centered at the origin with width 2[i]a[/i] and height 2[i]b[/i] is:[br][math]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/math][br]Elipsa je dána středem S =(m, n) a velikostmi poloos a, b. Vyjádřete elipsu implicitně rovnicí v osovém tvaru a parametricky.
Change the value for semi-major axis [i]a[/i] and semi-minor axis [i]b[/i] by draging the sliders [color=#0000ff][i]a, b[/i][/color].
The equation of a standard ellipse centered at the[color=#0000ff][i] S=(-2,2)[/i][/color] with width[color=#0000ff] 2[i]a = 6[/i][/color] and height [color=#0000ff]2[i]b = 4[/i][/color] is:
The equation of a standard ellipse centered at the[color=#0000ff][i] S=(-2,2)[/i][/color] with width[color=#0000ff] 2[i]a = 6[/i][/color] and height [color=#0000ff]2[i]b = 4[/i][/color] is:
An [url=https://en.wikipedia.org/wiki/Trammel_of_Archimedes]trammel of Archimedes [/url] consists of two shuttles which are confined ('trammelled') to perpendicular rails and a rod which is attached to the shuttles at fixed positions.[br] [br]