Self-Transversality Theorem
Let 
, 
, and 
be distinct Integers (mod 
), and let 
be the point of intersection of the side ordiagonal 
of the -gon 
with the transversal 
. Then a Necessary and Sufficient condition for
where
and
is the ratio of the lengths
and 
with a plus or minus sign depending on whether these segments have the same or opposite direction, is that - 1.
is Even with 
and 
, - 2. is arbitrary and either
and 
, or - 3.
and 
.
References
Grünbaum, B. and Shepard, G. C. ``Ceva, Menelaus, and the Area Principle.'' Math. Mag. 68, 254-268, 1995.
- Isogonal Conjugate
- Isogonal Line
- Isogonic Centers
- Isograph
- Isohedral Tiling
- Isohedron
- Isolated Point
- Isolated Singularity
- Isolating Integral
- Isometric Latitude
- Isometry
- Isomorphic Graphs
- Isomorphic Groups
- Isomorphic Posets
- Isomorphism
- Isoperimetric Inequality
- Isoperimetric Point
- Isoperimetric Problem
- Isoperimetric Quotient
- Isoperimetric Theorem
- Isopleth
- Isoptic Curve
- Isosceles Tetrahedron
- Isosceles Triangle
- Isoscelizer