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Happy 175th birthday Moritz Pasch! The German mathematician was born on November 8, 1843.  Pasch specialized in the foundations of geometry. He is best remembered for Pasch's axiom, which he discovered in 1882.  Although axioms do not require proofs, in this week's problem we celebrate Pasch's birthday by- you guessed it- proving  Pasch's axiom. Why? Because proofs are FUN .        Solution: Video:

Here is a neat little theorem referred to as the "Happy ending problem" by Paul Erdős, due to it resulting in the marriage of two mathematicians. Happy Valentines Day!