Message 1 of 3.I need a helping hand getting started on 2.9 & 2.11 (re: Euclidean and Non-Euclidean Geometry - Marvin J. Greenberg) (c) Fix a circle in the Euclidean plane. Interpret "point" to meana Euclidean point inside the circle, interpret "line" to mean achord of the circle, and let "incidence" mean that the point lieson the chord. (A chord of a circle is a segment whose end-points lie on the circle.)(d) Fix a sphere in Euclidean three-space. Two points on the sphereare called antipodal if they lie on a diameter of the sphere; e.g.,the north and south poles are antipodal. Interpret a "point" tobe a set {P, P'} consisting of two points on the sphere that areantipodal. Interpret a "line" to be a great circle on the sphere. 9. In each of the following interpretations of the undefined terms,which of the axioms of incidence geometry are satisfied and whichare not? Tell whether each interpretation has the elliptic, Euclidean,or hyperbolic parallel property.(a) "Points" are lines in Euclidean three-dimensional space, "lines"are planes in Euclidean three-space, "incidence" is the usualrelation of a line lying in a plane.(b) Same as in part (a), except that we restrict ourselves to linesand planes that pass through a fixed point O.

Name: Message 1 of 3.I need a helping hand getting started on 2.9 & 2.11 (re
Uploaded: 2024-03-20T06:47:08.000Z
Channel: Bartleby
Description: Message 1 of 3.I need a helping hand getting started on 2.9 & 2.11 (re: Euclidean and Non-Euclidean Geometry - Marvin J. Greenberg) (c) Fix a circle in the Euclidean plane. Interpret "point" to meana Euclidean point inside the circle, interpret "line