This group is special for having all even number of edges per vertex and form bisecting planes through the polyhedra and infinite lines in the plane, and continuing into the hyperbolic plane for any n \ ge 7.
22.
This equation was integrated into a closed form solution using the error function ( erf ), and variations in geometry can be performed to include the full infinite line, line segment, elevated line, or arc made from segments.
23.
If the wire is an infinite line, under conditions that the vacuum does not have winding number fluctuations which are coherent throughout the system, the conservation law is a superselection rule---the probability that the winding will unwind is zero.
24.
This group is special for having all even number of edges per vertex and form bisecting planes through the polyhedra and infinite lines in the plane, and continuing into the hyperbolic plane for any " n " e " 7.
25.
A " contact " rougeable may also be created by an attacker if he plays the ball over the infinite line from close range while in contact ( other than via the arm below the elbow ) with a defender.
26.
Assume that we want to find intersection of two infinite lines in 2-dimensional space, defined as a _ 1x + b _ 1y + c _ 1 = 0 and a _ 2x + b _ 2y + c _ 2 = 0.
27.
For example, a line segment \ overline { AB } is perpendicular to a line segment \ overline { CD } if, when each is extended in both directions to form an infinite line, these two resulting lines are perpendicular in the sense above.
28.
Some azimuthal projections are true perspective projections; that is, they can be constructed mechanically, projecting the surface of the Earth by extending lines from a point of perspective ( along an infinite line through the tangent point and the tangent point's antipode ) onto the plane:
29.
This group is special for having all even number of edges per vertex and form bisecting planes through the polyhedra and infinite lines in the plane, and are the reflection domains for the ( 2, 3, " n " ) triangle groups for the heptagonal tiling, the important ( 2, 3, 7 ) triangle group.
30.
This is proved by the fact that we conceive them as formed as it were by motion, yet this motion is not perceived unless the quantity be perceived also; we can even prolong the motion so as to form an infinite line, which we certainly could not do unless we had an idea of infinite quantity.
