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euclidean    
a. 欧几里得的

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  • Euclidean geometry - Wikipedia
    Euclidean geometry is a mathematical system attributed to ancient Greek mathematician Euclid, which he described in his textbook on geometry, Elements Euclid's approach consists in assuming a small set of intuitively appealing axioms (postulates) and deducing many other propositions from these
  • 欧氏距离（Euclidean Distance） - 知乎专栏
    欧氏距离定义： 欧氏距离（ Euclidean distance）是一个通常采用的距离定义，它是在 m维空间 中两个点之间的真实距离。 在二维和三维空间中的欧式距离的就是两点之间的距离，二维的公式是：
  • Euclidean中文(简体)翻译：剑桥词典 - Cambridge Dictionary
    Euclidean翻译：欧几里得几何的。了解更多。
  • 欧几里得空间 - 维基百科，自由的百科全书
    三维欧几里得空间中的每个点由三个坐标确定。 欧几里得空间是在约公元前300年，由古希腊 数学家 欧几里得建立的角和空间中距离之间联系的法则。 欧几里得首先开发了处理平面上二维物体的“平面几何”，他接着分析三维物体的“立体几何”，所有欧几里得的公理在幾何原本中都有所體現。
  • Euclidean geometry | Definition, Axioms, Postulates | Britannica
    Euclidean geometry is the study of plane and solid figures on the basis of axioms and theorems employed by the ancient Greek mathematician Euclid The term refers to the plane and solid geometry commonly taught in secondary school
  • 如何通俗地解释欧氏空间？ - 知乎
    而中学学的几何空间一般是2维，3维（所以，我们讨论余弦值、点间的距离、内积都是在低纬空间总结的），如果将这些低维空间所总结的规律推广到有限的n维空间，那这些符合定义的空间则被统称为欧几里得空间（欧式空间，Euclidean Space）。
  • Euclidean geometry - Encyclopedia of Mathematics
    The space of Euclidean geometry is usually described as a set of objects of three kinds, called "points" , "lines" and "planes" ; the relations between them are incidence, order ( "lying between" ), congruence (or the concept of a motion), and continuity
  • Euclidean -- from Wolfram MathWorld
    The Euclidean geometry of the plane (Books I-IV) and of the three-dimensional space (Books XI-XIII) is based on five postulates, the first four of which are about the basic objects of plane geometry (point, straight line, circle, and right angle), which can be drawn by straightedge and compass (the
  • Euclidian Geometry - History of Math and Technology
    In physics, Euclidean geometry underpins classical mechanics The principles of motion and force described by Newton rely on a Euclidean understanding of space and geometry Concepts like vectors, trajectories, and fields are rooted in the spatial reasoning established by Euclid
  • 4. 1: Euclidean geometry - Mathematics LibreTexts
    Euclidean geometry, sometimes called parabolic geometry, is a geometry that follows a set of propositions that are based on Euclid's five postulates There are two types of Euclidean geometry: plane geometry, which is two-dimensional Euclidean geometry, and solid geometry, which is three-dimensional Euclidean geometry





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