La ELIPSE es el lugar geométrico de los puntos del plano cuya suma de distancias a dos puntos dados llamados focos es constante.
d (P, F) + d (P, F') = k
¿Cómo dibujar elipses? Haz clic en el icono si deseas ver un método.
Los elementos que caracterizan una elipse son:
A, A', B y B' : vértices;
AA'
¯
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y
BB'
¯
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: ejes (mayor y menor)
F y F' : focos; O : centro de la elipse
c=
OF
¯
=
OF'
¯
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semidistancia focal
a=
OA
¯
=
OA'
¯
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semieje mayor
b=
OB
¯
=
OB'
¯
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semieje menor
Propiedades
k = 2a (constante de la elipse)
BF
¯
=
BF'
¯
=a
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a2 = b2 + c2 |
Se llama excentricidad al cociente entre la distancia focal y el eje mayor:
Excentricidad
e=
c
a
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