In the same way every circle is corresponding to an equal sided triangle the 3-sphere is corresponding to an inserted tetraeder. The latitude of the corners of the tetraeder on the 3-sphere is calculated here giving the result arcsin(1/3), while arcsin(1/2) is derived for the 2-dimensional sphere
This work presents a concise summary of the methodology used to fit a circle to any three 2D Cartesi...
9 pages, 1 article*3-D Geometry: A Triangle-Oriented Proof of the Cosine of the Angle Between Two V...
AbstractA tetrahedron having two right angles at each of two vertices was investigated by Lobachevsk...
The seed-idea of this article came from an activity from an upper primary math textbook and the mo...
Let us consider a tetrahedron ABCD and assign to this the triangle H having sides AB· CD, BC· AD, ...
A natural extension of Heron's 2000 year old formula for the area of a triangle to the volume of a t...
In three-dimensional equidistant curve coordinate system, a constant of length on a sphere depends u...
TITLE Spatial generalizations of the properties of the triangle AUTHOR Jirˇı' Sřubarˇ SUPERVISOR Pro...
This diploma thesis Tetrahedra and their properties summarizes the basic properties of tetrahedron. ...
AbstractThe volume of a tetrahedron is represented in terms of the six dihedral angles between the f...
Spherical geometry was studied in ancient times as a subset of Euclidian three-dimensional space. I...
A natural extension of Heron's 2000 year old formula for the area of a triangle to the volume of a t...
The fourth side and the area of a inscribed tetragon is calculated. Two cases are treated. An exampl...
Abstract. A tetrahedron is circumscriptible if there is a sphere tangent to each of its six edges. W...
If one has three sticks (lengths), when can you make a triangle with the sticks? As long as any two...
This work presents a concise summary of the methodology used to fit a circle to any three 2D Cartesi...
9 pages, 1 article*3-D Geometry: A Triangle-Oriented Proof of the Cosine of the Angle Between Two V...
AbstractA tetrahedron having two right angles at each of two vertices was investigated by Lobachevsk...
The seed-idea of this article came from an activity from an upper primary math textbook and the mo...
Let us consider a tetrahedron ABCD and assign to this the triangle H having sides AB· CD, BC· AD, ...
A natural extension of Heron's 2000 year old formula for the area of a triangle to the volume of a t...
In three-dimensional equidistant curve coordinate system, a constant of length on a sphere depends u...
TITLE Spatial generalizations of the properties of the triangle AUTHOR Jirˇı' Sřubarˇ SUPERVISOR Pro...
This diploma thesis Tetrahedra and their properties summarizes the basic properties of tetrahedron. ...
AbstractThe volume of a tetrahedron is represented in terms of the six dihedral angles between the f...
Spherical geometry was studied in ancient times as a subset of Euclidian three-dimensional space. I...
A natural extension of Heron's 2000 year old formula for the area of a triangle to the volume of a t...
The fourth side and the area of a inscribed tetragon is calculated. Two cases are treated. An exampl...
Abstract. A tetrahedron is circumscriptible if there is a sphere tangent to each of its six edges. W...
If one has three sticks (lengths), when can you make a triangle with the sticks? As long as any two...
This work presents a concise summary of the methodology used to fit a circle to any three 2D Cartesi...
9 pages, 1 article*3-D Geometry: A Triangle-Oriented Proof of the Cosine of the Angle Between Two V...
AbstractA tetrahedron having two right angles at each of two vertices was investigated by Lobachevsk...