Table of Contents
Chapter Three
Incidence Axioms
Betweenness Axioms (1)
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Betweenness Axioms (2)
P-3.2: Every line bounds exactly two half-planes and these half-planes have no point in common.
Pasch’s Theorem
Def: Interior of an angle. Given an angle ?CAB, define a point D to be in the interior of ?CAB if D is on the same side of as B and if D is also on the same side of as C. P-3.5: Given A*B*C. Then AC = AB?BC and B is the only point common to segments AB and BC. P-3.6: Given A*B*C. Then B is the only point common to rays and , and P-3.7: Given an angle ?CAB and point D lying on line . Then D is in the interior of ?CAB iff B*D*C.
P3.8: If D is in the interior of ?CAB; then: a) so is every other point on ray except A; b) no point on the opposite ray to AD is in the interior of ?CAB; and c) if C*A*E, then B is in the interior of ?DAE.
A ray is between rays and if
PPT Slide
PPT Slide
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Author: Joel Baumeyer, FSC
Email: baumeyer@cbu.edu
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