How to find the pedal of the curve r = a(1+cos theta) with respect to the pole?
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0
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Step-by-step explanation:For a plane curve C and a given fixed point O, the pedal equation of the curve is a relation between r and p where r is the distance from O to a point on C and p is the perpendicular distance from O to the tangent line to C at the point. The point O is called the pedal point and the values r and p are sometimes called the pedal coordinates of a point relative to the curve and the pedal point. It is also useful to measure the distance of O to the normal
p
c
p_{c} (the contrapedal coordinate) even though it is not an independent quantity and it relates to
(
r
,
p
)
(r,p) as
p
c
:=
r
2
−
p
2
{\displaystyle p_{c}:={\sqrt {r^{2}-p^{2}}}}.
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