Geometry

1811 Submissions

[2] viXra:1811.0132 [pdf] submitted on 2018-11-08 20:40:58

The Arbelos in Wasan Geometry, Problems of Izumiya and Nait\=o

Authors: Hiroshi Okumura
Comments: 5 Pages.

We generalize two sangaku problems involving an arbelos proposed by Izumiya and Nait\=o, and show the existence of six non-Archimedean congruent circles.
Category: Geometry

[1] viXra:1811.0103 [pdf] submitted on 2018-11-06 09:20:05

Possbile Cubic to Spherical Transfomaions

Authors: Adham Ahmed Mohamed Ahmed
Comments: 1 Page.

this paper talks about a hypothesis between the cube and the sphere which is inside the cube and the excess volume of the cube than the sphere and the excess volume of the sphere where the cube is inside of the sphere What If you spin a cube around an axis passing through its midpoint of the cube would the cylinder formed have an excess in volume than the sphere equal to the excess in volume of the cylinder than he cube?
Category: Geometry