If a figure has 2 odd nodes and the rest even nodes then the figure is traceable.
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A rule or a statement that is accepted without proof is a postulate.
The sine rule is a comparison of ratios: (sin A)/a = (sin B)/b = (sin C)/c. The cosine rule looks similar to the theorem of Pythagoras: c2 = a2 + b2 - 2ab cos C.
the first rule of a polygon is that it must have straight lines to devolope its sides. the second rule of a polygon is that it must be enclosed with no openings. the last rule of a polygon is that it has to have at least three sides.
The rule applies to POLYHEDRA (3D shapes) not Polygons, which are 2D Faces + Vertices - Edges = 2