class=skin-invert-image|alt=two line bent at a point|thumb|upright=1.25|A green angle formed by two red Ray (geometry)|rays on the [[Cartesian coordinate system]]
An angle is the figure formed when two lines or rays meet at a point, and it measures how much one line is turned relative to the other. Angles are fundamental to geometry, mathematics, and practical fields like construction and navigation, where they help us describe and work with shapes, directions, and spatial relationships.
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在几何学中,角(拼音:jiǎo,注音:ㄐㄧㄠˇ,英語:angle)是由两条有公共端点的射线组成的几何对象。这两条射线叫做角的边,它们的公共端点叫做角的顶点。一般的角會假設在欧几里得平面上,但在非欧几里得几何中也可以定義角,特別是在球面幾何學中的是用大圓的圓弧代替射线。角在几何学和三角学中有着广泛的应用。 几何之父欧几里得曾定义角为在平面中两条不平行的直线的相对斜度。普罗克鲁斯認為角可能是一種特質、一種可量化的量、或是一種關係。認為角是相對一直線的偏差,認為角是二條相交直線之間的空間。欧几里得認為角是一種關係,不過他對直角、銳角或鈍角的定義都是量化的。 平面角的大小定义是以两射线交点为圆心的圆被射线所截的弧长与半径之比,单位包括弧度和度、分、秒等。
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Discovered by embedding cosine similarity (sentence-transformers MiniLM, 384-dim).