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平面上の円を C とし，C に囲まれた平面の部分を S とする。この C 上のすべての点と，平面上にない点Pとを結ぶすべての直線によってつくられる曲面を円錐面という。 C が円でなく任意の曲線であれば，曲面は単に錐面という。円錐とは，円錐面と S とで囲まれた立体をいう。Pを頂点，S を底面と呼ぶ。もし，円 C の中心とPとを結ぶ直線が，S に垂直ならば，この円錐を直円錐といい，垂直でなければ斜円錐という。
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