Handling Rejection! Using Geometric Algebra to Find the Incircle of a Triangle
1 year ago
12
Handling "Rejections" is only one of many uses of GA's outer product. Here, to find the center and radius of a triangle's incircle, we use several ways of conceiving the outer product.
00:00 Introduction
00:29 Some of the ideas that we will use
01:15 The "rejection" of one vector with respect to another
05:38 Exploration/analysis of the problem
06:35 Our strategy
06:54 Formulation in terms of vectors
07:41 The first of our two simultaneous equations
08:39 The second of our two simultaneous equations
10:26 The result, and a small finesse
11:30 The group "Pre-University Geometric Algebra"
Article: Location and Radius of a Triangle's Incircle Via Geometric Algebra
https://vixra.org/abs/2306.0024
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