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[5] viXra:2411.0153 [pdf] submitted on 2024-11-25 20:19:07
Authors: Andrey V. Voron
Comments: 4 Pages.
Possible variants of the equality of the values of the area and perimeter of a number of two—dimensional figures (square, circle, rectangular, obtuse and equilateral triangles), volume and area - three-dimensional (Platonic bodies, cone, cylinder, pyramid and sphere) are considered.
Category: Geometry
[4] viXra:2411.0110 [pdf] replaced on 2025-05-07 19:54:40
Authors: Alan Michael Gómez Calderón
Comments: 7 Pages. Typo correction
In this paper we show that area of any quadrilateral can be estimated from the four lengths sides. With the Triangle Inequality Theorem and a novel provided diagonal's formula, the boundaries of quadrilateral diagonals are found. Finally Bretschneider's formula can be applied to find a set of possible areas.
Category: Geometry
[3] viXra:2411.0107 [pdf] submitted on 2024-11-15 18:51:41
Authors: Makafui Apedo
Comments: 49 Pages. (Correction made by viXra Admin to conform with schoarly norm - Please conform!)
In this paper, I have translated Euclid’s Element Book One into the Ewe language of Ghana, Togo and the Republic Benin. It is my hope that this translation will inspire researchers across Africa to translate Euclid into their respective languages.
Category: Geometry
[2] viXra:2411.0101 [pdf] submitted on 2024-11-14 14:15:32
Authors: Johan Aspegren
Comments: 3 Pages.
In this paper we will prove that if a compact $A$ in $R^n$ belongs to the unit ball in $R^n$, then $A$ has a slice of measure greater than a calculable constant times the measure of $A$. Our result is sharp.
Category: Geometry
[1] viXra:2411.0060 [pdf] submitted on 2024-11-06 22:45:34
Authors: Urs Frauenfelder, Joa Weber
Comments: 50 pages, 2 figures
In this article we prove that the space of Floer Hessians has infinitely many connected components.
Category: Geometry
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