Relationship between neutral geometry and incidence geometry. (a) Explain how th
ID: 2984441 • Letter: R
Question
Relationship between neutral geometry and incidence geometry.
(a) Explain how the axioms stated in this chapter imply that there exists at least one
line.
(b) Explain how the existence of three noncollinear points (Incidence Axiom I-3) can
be deduced from the axioms stated in this chapter.
(c) Explain why every model for neutral geometry must have inï ¬nitely many points.
(d) Explain why every model for neutral geometry must have inï ¬nitely many lines.
(e) Explain why every model for neutral geometry must also be a model for incidence
geometry.
(f) Explain why all the theorems of incidence geometry must also be theorems in
neutral geometry
Please explain thoroughly
Explanation / Answer
The above answer did not display properly. Check this link (Q 5.11) for all the answers http://faculty.frostburg.edu/math/rcforsythe/Math 440/Solutions/HW 9.htm