[5] **viXra:1906.0404 [pdf]**
*submitted on 2019-06-20 19:17:33*

**Authors:** James A. Smith

**Comments:** 17 Pages.

As a high-school-level example of solving a problem via Geometric (Clifford) Algebra, we show how to calculate the distance and direction between two points on Earth, given the locations' latitudes and longitudes. We validate the results by comparing them to those obtained from online calculators. This example invites a discussion of the benefits of teaching spherical trigonometry (the usual way of solving such problems) at the high-school level versus teaching how to use Geometric Algebra for the same purpose.

**Category:** Geometry

[4] **viXra:1906.0302 [pdf]**
*submitted on 2019-06-16 19:22:18*

**Authors:** Israel Meireles Chrisostomo

**Comments:** 7 Pages.

This problem first appeared in the American Mathematical Monthly in 1965, proposed by Sir Alexander Oppenheim. As a matter of curiosity, the American Mathematical
Monthly is the most widely read mathematics journal in the world. On the other hand, Oppenheim was a brilliant mathematician, and for the excellence of his work in mathematics,
obtained the title of “ Sir ”, given by the English to English citizens who stand out in the
national and international scenario.Oppenheim is better known in the academic world for his
contribution to the field of Number Theory, known as the Oppenheim Conjecture.

**Category:** Geometry

[3] **viXra:1906.0278 [pdf]**
*submitted on 2019-06-15 22:14:28*

**Authors:** Israel Meireles Chrisostomo

**Comments:** 5 Pages.

This problem first appeared in the American Mathematical Monthly in 1965, proposed by Sir Alexander Oppenheim. As a matter of curiosity, the American Mathematical
Monthly is the most widely read mathematics journal in the world. On the other hand, Oppenheim was a brilliant mathematician, and for the excellence of his work in mathematics,
obtained the title of “ Sir ”, given by the English to English citizens who stand out in the
national and international scenario.Oppenheim is better known in the academic world for his
contribution to the field of Number Theory, known as the Oppenheim Conjecture.

**Category:** Geometry

[2] **viXra:1906.0074 [pdf]**
*submitted on 2019-06-05 12:20:10*

**Authors:** Antoine Balan

**Comments:** 1 page, written in english

We define the notion of SUSY non-commutativ geometry as a supersymmetric theory of quantum spaces.

**Category:** Geometry

[1] **viXra:1906.0051 [pdf]**
*submitted on 2019-06-04 11:48:09*

**Authors:** Radhakrishnamurty Padyala

**Comments:** 4 Pages. 4

Galileo derived a result for the relation between the two mean proportionals of the parts and the whole of a given line segment. He derived it for the internal division of the line segment. We derive in this note, a corresponding result for the external division of a given line segment.

**Category:** Geometry