[8] **viXra:1908.0550 [pdf]**
*submitted on 2019-08-28 05:10:36*

**Authors:** Volker Thürey

**Comments:** 3 Pages.

We present subsets of Euclidian spaces in the ordinary plane. Naturally some informations are lost. We provide examples.

**Category:** Geometry

[7] **viXra:1908.0545 [pdf]**
*submitted on 2019-08-26 10:53:25*

**Authors:** R. Welch, G. Ray

**Comments:** 11 Pages. This is a conference paper which appeared in SIGBOVIK 2018. It is published postumously as Gene Ray died in 2015.

Let r be a single 4-phase cubic day acting completely on a meridian time class. In [8], the authors address the cubically divisible nature of earth’s rotation under the additional assumption that
y′′(0, . . . ,Γ)→1∅=∫∫∫Θ∏r′(−|qF|, . . . ,‖Y‖)dM∩−0≤2∑ε=iF( ̄v).
We show that every pairwise pseudo-divine cube is partially isometric and anti-multiply intrinsic toward a fictitious same sex time transformation. This could shed important light on the conjectures of all religions and academia. In this context, the results of [8] are highly evil.

**Category:** Geometry

[6] **viXra:1908.0460 [pdf]**
*submitted on 2019-08-23 05:44:28*

**Authors:** Todor Zaharinov

**Comments:** 11 Pages.

Given three noncollinear points P, B and C, we investigate the construction of the triangle DBC with symmedian point P.

**Category:** Geometry

[5] **viXra:1908.0366 [pdf]**
*submitted on 2019-08-17 17:05:58*

**Authors:** SzÉkely Endre

**Comments:** 5 Pages. see in "Other instructions"

In this short note an important consequence of my previous paper5 is investigated.
We reinvestigate EUCLID’S 5th postulate

**Category:** Geometry

[4] **viXra:1908.0095 [pdf]**
*submitted on 2019-08-05 10:29:36*

**Authors:** Mark Adams

**Comments:** 14 Pages.

We consider the volume of the unit edge length Snub Dodecahedron.

**Category:** Geometry

[3] **viXra:1908.0074 [pdf]**
*replaced on 2019-08-12 04:48:42*

**Authors:** Atsushi Koike

**Comments:** 14 Pages.

According to Pierre Wantzel’s proof of 1837 that the trisection of 60 degree is impossible, because the cubic equation of x^3 - 3x - 1 = 0 had a absence of a rational solution. And his proof reached already a consensus as a general opinion. I learned from Nobukazu Shimeno’s introductory book on complex numbers that Rafael Bombelli got a rational solution x= 4 from the cubic equation x^3 = 15x + 4 based on the Cardinal formula. x^3 = 15x + 4 is x^3 - 15x - 4 = 0, which can be further replaced by x^3 - dx - a = 0. Kentaro Yano, who introduces the trisection of angles, says that the basic equation of x^3 - 3x - 1 = 0 is x^3 - dx - a = 0. In other words, the equation that Rafael Bombelli obtained a rational number solution is the same as the equation of the trisection of the angle. On the other hand, Yano raises x^3 - 3x = 0 as an example when the angle can be divided into three equal parts. Needless to say, x^3 - 3x - 0 = 0 and x^3 - dx - a = 0. Therefore, comparing Rafael Bombelli’s solution and the equation where Yano’s angle trisection is impossible and possible, the equation for angle trisection is x = a. And I found that if x = a = 2 then the solution is obtained at all angles. This paper proves that.

**Category:** Geometry

[2] **viXra:1908.0020 [pdf]**
*submitted on 2019-08-01 10:58:49*

**Authors:** Hiroshi Okumura

**Comments:** 2 Pages.

We generalize a problem in Wasan geometry involving
the incircle of a triangle.

**Category:** Geometry

[1] **viXra:1908.0004 [pdf]**
*submitted on 2019-08-01 03:51:30*

**Authors:** Antoine Balan

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

Here is defined a generalization of connections with help of exterior forms.

**Category:** Geometry