In a conic section, a sphere can be created that is tangent to a point F on the plane containing the curve and along a circle on the conic surface. The line of intersection between the plane containing the curve and the plane containing the circle is called the directrix. Point F is the focus. An ellipse and a hyperbola each have two directrixes, and the equations of the standard form of the directrix in Cartesian coordinates are x = a / e and x = -a / e ( e is the eccentricity). A parabola has one directrix, and the coordinates of the focus are ( p , 0). Source: Encyclopaedia Britannica Concise Encyclopedia About Encyclopaedia Britannica Concise Encyclopedia Information |
円錐曲線において,曲線を含む平面上の1点F に接し,かつ円錐曲面上の1つの円に沿って接する球面をつくることができるが,この曲線を含む平面と,円を含む平面との交線を準線という。点F は焦点である。楕円および双曲線においては,準線はそれぞれ2つあり,直交座標での標準形の準線の方程式は x=a/e,x=-a/e ( e は離心率) で表わされる。放物線では1つであり,x=-p (焦点の座標を (p,0) とする) である。
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