# 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