11/11/2012 -- Junior Circle: The triangle inequality and the shortest paths between points. (Oleg Gleizer)

For the first hour, we will solve a variety of problems, including taking roots of numbers, drawing a graph of a function, constructing a right angle by means of a rope, and figuring out the winners of a fencing competition. In the second part of the class, we will prove the triangle inequality for the Euclidean plane. We will further use it as a tool for finding the shortest paths between points in the Euclidean plane and on a cylinder.

Handouts:

handout

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	11/11/2012 -- Junior Circle: The triangle inequality and the shortest paths between points. (Oleg Gleizer) For the first hour, we will solve a variety of problems, including taking roots of numbers, drawing a graph of a function, constructing a right angle by means of a rope, and figuring out the winners of a fencing competition. In the second part of the class, we will prove the triangle inequality for the Euclidean plane. We will further use it as a tool for finding the shortest paths between points in the Euclidean plane and on a cylinder. Handouts: handout [Edit]