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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 (the contrapedal coordinate) even though it is not an independent quantity and it relates to as .

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  • Para un curva plana C y un punto fijo dado O, la ecuación podal de la curva es una relación entre r y p, donde r es la distancia desde O a un punto en C y p es la distancia perpendicular desde O a la tangente a C en el punto considerado. El punto O se llama punto podal y los valores r y p se llaman coordenadas podales de un punto relativo a la curva y al punto podal. También es útil medir la distancia de O a la normal (la coordenada contrapodal) aunque no es una cantidad independiente y se relaciona con como . Algunas curvas tienen ecuaciones podales particularmente simples, por lo que pueden simplificar el cálculo de algunas de sus propiedades, como la curvatura. Estas coordenadas también son adecuadas para resolver ciertos tipos de problemas de fuerza en mecánica clásica y mecánica celeste. (es)
  • 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 (the contrapedal coordinate) even though it is not an independent quantity and it relates to as . Some curves have particularly simple pedal equations and knowing the pedal equation of a curve may simplify the calculation of certain of its properties such as curvature. These coordinates are also well suited for solving certain type of force problems in classical mechanics and celestial mechanics. (en)
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  • Pedal coordinates (en)
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  • PedalCoordinates (en)
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  • Para un curva plana C y un punto fijo dado O, la ecuación podal de la curva es una relación entre r y p, donde r es la distancia desde O a un punto en C y p es la distancia perpendicular desde O a la tangente a C en el punto considerado. El punto O se llama punto podal y los valores r y p se llaman coordenadas podales de un punto relativo a la curva y al punto podal. También es útil medir la distancia de O a la normal (la coordenada contrapodal) aunque no es una cantidad independiente y se relaciona con como . (es)
  • 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 (the contrapedal coordinate) even though it is not an independent quantity and it relates to as . (en)
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  • Ecuación podal (es)
  • Pedal equation (en)
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