Poincaré disk model - Wikipedia
In geometry, the Poincaré disk model, also called the conformal disk model, is a model of 2-dimensional hyperbolic geometry in which all points are inside the unit disk, and straight lines are either circular arcs contained within the disk that are …
庞加莱圆盘模型 - 维基百科，自由的百科全书
几何中，庞加莱圆盘模型（ Poincaré disk model ），也叫共形圆盘模型（ conformal disk model ），是一个 n-维双曲几何模型。 几何中的点對應到 n 维圆盘（或 球 ）上的點，几何中的「直线」（准确地说是 测地线 ）對應到任意垂直于圆盘边界的圓弧或是圆盘的 直径 。
9.2 The Poincar´e Disk Model When we adopt the Hyperbolic Axiomthen there are certain ramifications: 1. The sum of the angles in a triangle is less than two right angles. 2. All similar triangles that are congruent, i.e. AAA is a congruence criterion. 3. There are no lines everywhere equidistant from one another. 4.
5.1: The Poincaré Disk Model - Mathematics LibreTexts
2021年9月5日 · The Poincaré disk model for hyperbolic geometry is the pair (D,H) where D consists of all points z in C such that |z|<1, and H consists of all Möbius transformations T for which T(D)=D.…
Poincaré Hyperbolic Disk -- from Wolfram MathWorld
2024年12月18日 · The Poincaré disk is a model for hyperbolic geometry in which a line is represented as an arc of a circle whose ends are perpendicular to the disk's boundary (and diameters are also permitted). Two arcs which do not meet correspond to parallel rays, arcs which meet orthogonally correspond to perpendicular lines, and arcs which meet on the ...
庞加莱球模型 - 知乎 - 知乎专栏
2023年3月19日 · 以他名字命名的庞加莱圆盘模型（Poincaré disk model）也称共形圆盘模型，是一个 双曲几何 模型，欧式空间中的直线概念（在这里更准确的说法是测地线）在这里就是对应到垂直于圆盘边界的圆弧或者圆盘的直径。
庞加莱圆盘模型-数学百科
几何中，庞加莱圆盘模型（ Poincaré disk model ），也叫共形圆盘模型（ conformal disk model ），是一个 n-维双曲几何模型。 几何中的点对应到 n 维圆盘（或 球 ）上的点，几何中的“直线”（准确地说是 测地线 ）对应到任意垂直于圆盘边界的圆弧或是圆盘的 直径 。
The Poincaré Disk - Oregon State University
The lines of the Poincaré disk are all (arcs of) Euclidean circles that meet \(D\) at right angles (and lie within \(D\)). Diameters of \(D\) are included as a special case, and can be thought of as arcs of Euclidean circles of infinite radius.
庞加莱球模型 | Curiousity Hub - GitHub Pages
2020年6月25日 · 以他名字命名的庞加莱圆盘模型（Poincaré disk model）也称共形圆盘模型，是一个双曲几何模型，欧式空间中的直线概念（在这里更准确的说法是测地线）在这里就是对应到垂直于圆盘边界的圆弧或者圆盘的直径。
Poincaré disk model – GeoGebra
The Poincaré disk is a model of 2-dimensional hyperbolic geometry in which the points of the geometry are inside the disk, and the straight lines consist of all segments of circles contained within that disk that are orthogonal to the boundary of the disk, plus all diameters of the disk. In this applet you can check some theorems well known ...
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