- An Introduction to PCV (Proportional Co-Variation)Re-Directing Descartes' 1637 Multiplication Part 1Descartes' 1637 Multiplication Part 2Multiplication IIDivision on the Reals with a CirclePodo RingsProportional Co-Variation: Multiplication on the RealsExtracting a Square Root with a Semi CircleThe Butterfly Effect (Euclid Elements III, P.35)Power of a Point Theory of Jacob SteinerWhy Positive Reals have 2 square roots
An Introduction to PCV (Proportional Co-Variation)
- Author:
- Jonathan J. Crabtree
The traditional meta-model of multiplication is flawed because it was derived from an incorrect translation of Euclid's definition of multiplication. The better meta model (as Euclid originally wrote about in Elements) is what the author has dubbed, Proportional Co-Variation.