CD Tesis
Berkas Elips
This thesis discusses the pencil of ellipse. It can be used to solve some problems
of ellipse. If there are Q1 and Q2, then Q1 + kQ2 = 0 with k as parameter
of real numbers to form pencil of ellipse. An equation of ellipse contain the
parameter that not only produce an ellipse, but it forms lines, circle, parabola
and hyperbola as well. There are some special conditions from pencils of ellipse.
They are pencils of ellipse through a point, pencilsof ellipse touching x-axis and
y-axis, pencil of ellipse touching line of ax + by + c = 0, and pencils of ellipse
having major axis or minor axis of 2a. This thesis also discusses the pencil of
ellipse on quadric surfaces.
Kata kunci: Pencil of ellipse, equation of ellipse, existence of ellipse
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