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geometry

How to randomly scatter points inside a circle with ggplot, without clustering around the center?

Solution for How to randomly scatter points inside a circle with ggplot, without clustering around the center? is Given Below: …

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Categories Codes Tags geometry, ggplot2, polar-coordinates, r, trigonometry

Getting angle between 2 vectors with the same starting point 2D

Solution for Getting angle between 2 vectors with the same starting point 2D is Given Below: I’m having some trouble …

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Categories Codes Tags angle, geometry, numpy, python, python-3.x

Can this be solved with a line sweep algorithm in O(n)?

Solution for Can this be solved with a line sweep algorithm in O(n)? is Given Below: In this problem we …

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Categories Codes Tags computational-geometry, geometry, intersection, segment

In ggplot, how to draw a circle/disk with a line that divides its area according to a given ratio and colored points inside?

Solution for In ggplot, how to draw a circle/disk with a line that divides its area according to a given …

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Categories Codes, JavaScript Tags geometry, ggplot2, polar-coordinates, r, trigonometry

Calculate Total Length of Given linear Curves ignoring Bends

Solution for Calculate Total Length of Given linear Curves ignoring Bends is Given Below: I want to calculate the total …

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Categories Codes Tags computational-geometry, geometry, math

Angles enclosed in parallel lines

Imagine that you are going for a walk, from west to east, in the direction of the arrow along the …

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Categories Codes Tags angle, Contest Math, Euclidean Geometry, geometry

An algorithm for inflating/deflating (offsetting, buffering) polygons

I thought I might briefly mention my own polygon clipping and offsetting library – Clipper. While Clipper is primarily designed …

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Categories JavaScript Tags algorithm, Buffering, computational-geometry, geometry, polygon

An angle inside a regular pentagon

Let $G$ be reflection of $A$ about $EF$. Clearly $EG=AE=ED$ and $angle GED = angle AED – angle AEF – …

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Categories Codes Tags geometry, Triangles

Shortest distance between a point and a line segment

I need a basic function to find the shortest distance between a point and a line segment. Feel free to …

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Categories C, JavaScript, MATLAB, Objective-C, Python Tags distance, geometry, language-agnostic, line-segment

An application of the Casey’s theorem.

Let $M$ be the midpoint of the arc $KL$ containing points $A$ and $C$. Denote by $R, S, X, Y, …

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Categories Codes Tags Circles, Contest Math, Euclidean Geometry, geometry
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