Introduction: Euclidiean Geometry Masters level_please help.
Hi, my name is Jeremy Ruark. I am a middle school math teacher in school to get my masters. I have ran into some trouble with a math class and need some help.
This class i a master's level Euclidean Geometry course. My professior told me that the problems would need some equations used from lines and planes in 3D from calc. 3
Problem 1: Let pie be the plane y = 2 and pie' be the plane z = -1, in R^3. Consider the circle C in pie given by x^2 + z^2=4. Find the image of C under the perspectivity from pie to pie' centered at O (the origin of R^3). (pie is the sign for pie)
Problem 2: Let pie be the plane y=-2 and pie' be the plane of z=3 in R^3. consider the parallel lines L_1: X=3, Y=-2, AND L_2: X=2, Y=-2,
Find the images of L_1 and L_2 under the perspectivity from pie to pie' centered at O (the origin of R^3)