Math 341
Modern Geometry
Formal Assignment 1
Straightness on the Sphere

Integrate answers to Henderson's questions 1.1 and 2.1 into one coherent whole that explains what it means for a line to be straight, and uses this definition to explain which lines are straight on the sphere, and why. Your paper should answer all four parts of Henderson's question 1.1. One of these parts is to write a formal definition of what it means for a line to be straight on any surface. You should then use your definition to check if the great circles are straight on the sphere, and if the latitude circles are straight.