Presenting another paper. This time I will talk about plane geometry division. I feel it will bring an explanation to a 9th grade question I entertained many, many years ago. My first geometry course was 9th grade. I hated it. However Euclid did get one construction into my head which I never forgot. How to construct a perpendicular divisor at midpoint of a line.
I could see using a Cartesian system to erect a rectangle or square for a multiplication table. I could see addition of one line to another. I could see subtraction of one line from another. I could not see division of a line by integer where result will be equal distribution so parts sum the whole without remainder. But the worst HS problem my young mind wrestled with was I could not see what and how to use plane geometry to construct a ‘inverse square’ property.
Once I got past problematic improvements on Euclid’s divisor, I embraced the beauty of ‘inverse square’ plane geometry constructions. I post my My schedule mathfest 2013 Hartford schedule. Again, I hope to meet someone there who may or may not have the same interest I pursue.
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