I share gladly a work of Aldo Bonet, dating back to 1989 and published on "MATHEMATICS EDUCATION".
Publication issued four-monthly, edited by the Cagliari Centre for Mathematics Education and Research, by subscription IV/70 Bologna.
Year X – Series II – Vol. 4
no. 3 . December 1989
English translation by Emily Harris
I know Aldo Bonet and follow in years the result of his extraordinary research. Aldo Bonet is an independent scholar of Ancient History of Mathematics. Personally I consider him one of the best experts in his field of study.
I point out the summary of the article.
SUMMARY: A geometric study is proposed that forms the basis of the principle of halfsums and half-differences as used by the Babylonians. Diagrams pertaining to this study are developed, and applied in the demonstration of algebraic procedures of given problems from various recovered Babylonian tablets. The geometric study of half-sums and half-differences is further developed for third degree equations, extending to the geometric construction as hypothesized by S.J. Lurje (in the well-known study of quadratic sums). In conclusion, various didactic proposals on the subject are suggested.
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