Un tercer tipo de superficie en el espacio son las llamadas superficies cilíndricas, o[br]simplemente cilindros. Se puede imaginar que este cilindro es generado por una[br]recta vertical que se mueve alrededor del círculo [math]x^2+y^2=a^2[/math] que se encuentra en el[br]plano xy. A este círculo se le llama curva directriz (o curva generadora).[br][img]data:image/png;base64,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[/img][br]