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A new model of multiplication via Euclid (Multiplication on the reals
with a circle)
For the past 446 years, many people in the West have been misled by
the 'MIRA' multiplication myth, 'Multiplication Is Repeated Addition'.
It is thought the Greek mathematician, Euclid of Alexandria, defined
multiplication as repeated addition around 300 BCE, yet he didn't.
REASONS FOR SUBMISSION
1) This writing reveals logical and historical errors in elementary
mathematics education. We have had the wrong idea about multiplication
since February 1570.
2) The London Mathematical Society featured the geometry mentioned in
NOTE: The applet that accompanies the diagrams in the article is at:
3) Eminent professors of geometry appear unaware of the elementary
model this article introduces.*
ABOUT THE JOURNAL VINCULUM
Name of Publisher:
Mathematical Association of Victoria
Publication Year: 1964-
Publication Frequency: Quarterly
Subject Covered: Mathematics ; Secondary education