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Hello, Can someone please show me the correct steps in solving this practice problem from Geometry, so that I can learn how to do it?

Hello,

Can someone please show me the correct steps in solving this practice problem from Geometry, so that I can learn how to do it? Thank you! Please be legible.

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This problem is based on a construction involving the Nine Point Circle. Problem 2.1. Show that the line passing through the orthocenter H and the cir- cumcenter P contains also the centroid G and the center of the none-point circle O. Show also that PG/GH = 1/3 and that PO/OH = 1/2. C R E M A D B P.S. "PG/GH = 1/3 should be "PG/PH = 1/3" and "PO/OH = 1/2" should be "PO/PH = 1/2."

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