# How to use Tetrahedron in a sentence

tetrahedron
• Related to the tetrahedron are two spheres which have received much attention.

• If the faces be all equal equilateral triangles the solid is termed the "regular" tetrahedron.

• The faces of the cube are striated parallel to one diagonal, and alternate corners are sometimes replaced by faces of a tetrahedron.

• The fundamental form is the tetrahedron.

• The base of the tetrahedron is a stiffened steel grillage that will incorporate the connection to the bearing below.

• Finite generalized tetrahedron groups with a cubic relator 2003/21 Vincent Schmitt.

• The puzzle is to arrange these six pieces on a triangular wooden base to make a tetrahedron.

• When the strands are heated in a salt solution to just below boiling point then rapidly cooled they bond together to form a tetrahedron.

• And there you've got another tetrahedron, and it's upside down.

• Volume of a tetrahedron What is the volume of a regular tetrahedron with edges one unit long?

• This is one of the Platonic solids, and is treated in the article Polyhedron, as is also the derived Archimedean solid named the "truncated tetrahedron"; in addition, the regular tetrahedron has important crystallographic relations, being the hemihedral form of the regular octahedron and consequently a form of the cubic system.

• If the perpendiculars from the vertices to the opposite faces of a tetrahedron be concurrent, then a sphere passes through the four feet of the perpendiculars, and consequently through the centre of gravity of each of the four faces, and through the mid-points of the segments of the perpendiculars between the vertices and their common point of intersection.

• This theorem has been generalized for any tetrahedron; a sphere can be drawn through the four feet of the perpendiculars, and consequently through the mid-points of the lines from the vertices to the centre of the hyperboloid having these perpendiculars as generators, and through the orthogonal projections of these points on the opposite faces.

• The " tetrahedral theory " brought forward by Lowthian Green,' that the form of the earth is a spheroid based on a regular tetrahedron, is more serviceable, because it accounts for three very interesting facts of the terrestrial plan - (1) the antipodal position of continents and ocean basins; (2) the tri angular outline of the continents; and (3) the excess of sea in the southern hemisphere.

• The right-hand expression is six times the volume of the tetrahedron of which the lines AA, BB representihg the forces are opposite edges; and we infer that, in whatever way the wrench be resolved into two forces, the volume of this tetrahedron is invariable.

• For instance, considering four equal particles at the vertices of a regular tetrahedron, we can infer that the radius R of the circumscribing sphere is given by R2=j a2, if a be the length of an edge.

• Volume of a Tetrahedron What is the volume of a regular tetrahedron with edges one unit long?

• A variety of three-dimensional shapes, such as the tetrahedron, cube, and diamond featured in Dollar Bill Origami and hearts and stars at the Origami Resource Center.

• This usually has the form of a tetrahedron, with its points base occupying the surface of the body of the axis and its apex pointing towards the interior.

• Assuming the four valencies of the carbon atom to be directed from the centre of a regular tetrahedron towards its four corners, the angle at which they meet.

• We may therefore regard the nitrogen atoms as occupying the centres of a cubic space lattice composed of iodine atoms, between which the hydrogen atoms are distributed on the tetrahedron face normals.

• A scalene triangle abc might also be employed, or a tetrahedron.

• The tetrahedron is a particular case.

• For a tetrahedron, two of whose opposite edges are AB and CD, we require the area of the section by a plane parallel to AB and CD.

• If this be so the form of the diamond is really the tetrahedron (and the various figures derived symmetrically from it) and not the octadehron.

• If the grooves be left out of account, the large faces which have replaced each tetrahedron corner then make up a figure which has the aspect of a simple octahedron.

• If six films of the same liquid meet in a point the corresponding tetrahedron is a regular tetrahedron, and each film, where it meets the others, has an angle whose cosine is - i.

• The equilateral triangle is the basis of the tetrahedron, octahedron and icosahedron.'

• The truncated tetrahedron is formed by truncating the vertices of a regular tetrahedron so as to leave the original faces hexagons.

• It is readily seen that the tetrahedron is its own reciprocal, i.e.