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本文共分六节,概述圓錐曲縷綜合讲法及代数讲法的要点,并闡明三个定义的等价性。一般书中常見的証明及推导概行略去。最后述及它們的一些应用及共发展略史。 51.直圆錐面的平截綫 設有两条相交直綫。如果固定其中一条并交点,而使另一条在空間围繞这条定綫旋轉,則所产生的曲面叫做直圓錐面。該定点和定綫分別叫做它的頂和轉。当动綫固定在某一位置时叫做它的元綫。由于頂把每条元綫分成两条半綫,故錐面也被頂分成两部分,其中每一部分都叫做半錐面。每一个半錐面上任意半元綫与軸所成的角永远相等叫做半頂角。
This article is divided into six sections, which outlines the main points of the conical consonant comprehensive teaching and algebraic teaching, and clarifies the equivalence of the three definitions. The common proofs and deductions in the general book are omitted. Lastly, some of their applications and a little history of developments were mentioned. 51. The truncated line of the straight conical surface is provided with two intersecting straight lines. If you fix one of them and intersect, and the other rotates in space around this alignment, the resulting surface is called a straight conical surface. This fixed point and alignment are called its top and turn, respectively. When the line is fixed in a certain position it is called its element. Since each top element divides each element into two half lines, the cone surface is also divided into two parts, each of which is called a half-cone surface. The angle between any half-line and the axis on each half-cone is always called half-vertex.