Geometry

1610 Submissions

[3] viXra:1610.0367 [pdf] submitted on 2016-10-30 14:48:27

Thurals & Inpolars

Authors: Dragan Turanyanin
Comments: 6 Pages.

The aim of this review is firstly, to present again a new family of polar curves (e.g. thurals [1]) and secondly, to introduce their so called inpolars as main objects of one original geometrical transformation [2]. Addendum is completely new with a brief analysis of s-thural.
Category: Geometry

[2] viXra:1610.0076 [pdf] submitted on 2016-10-06 19:47:24

A Solution to the Problem of Apollonius Using Vector Dot Products

Authors: James A. Smith
Comments: 5 Pages.

To the collections of problems solved via Geometric Algebra (GA) in References 1-13, this document adds a solution, using only dot products, to the Problem of Apollonius. The solution is provided for completeness and for contrast with the GA solutions presented in Reference 3.
Category: Geometry

[1] viXra:1610.0054 [pdf] submitted on 2016-10-04 18:46:06

Some Solution Strategies for Equations that Arise in Geometric (Clifford) Algebra

Authors: James A. Smith
Comments: 15 Pages.

Drawing mainly upon exercises from Hestenes's New Foundations for Classical Mechanics, this document presents, explains, and discusses common solution strategies. Included are a list of formulas and a guide to nomenclature.
Category: Geometry