...Next, this projection is replaced by a projection on a plane, and there are various projection methods depending on where the viewpoint and projection surface are placed. Here, we will only discuss the principles of stereographic projection, which is the most commonly used for crystals, and gnomonic projection. As shown in Figure 1, in stereographic projection, the viewpoint is placed at the South Pole S, the projection surface is the equatorial plane, and the projection points P 1 and P 2 on the sphere are connected to S, and the intersections p 1 and p 2 of the straight line with the projection surface are the projection points. ... *Some of the terminology explanations that mention "gnomonic projection" are listed below. Source | Heibonsha World Encyclopedia 2nd Edition | Information |
…次に,この投影を一平面上の投影におきかえるわけであるが,それには視点と投影面をどこにおくかによって,いろいろの投影法がある。ここでは,そのうち結晶に最もよく用いられるステレオ投影stereographic projectionと,グノモン投影gnomonic projectionの原理についてのみのべる。 図1に見られるように,ステレオ投影では視点を南極Sにおき,投影面を赤道面とし,球面上投影点P1,P2とSとを結び,その直線と投影面との交点p1,p2をもって投影点とする。… ※「gnomonic projection」について言及している用語解説の一部を掲載しています。 出典|株式会社平凡社世界大百科事典 第2版について | 情報 |
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