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Aida wanted to become a pupil of Fujita but he was not accepted. A private feud started which eventually turned into a public feud between the Seki school of mathematics and the Sijyo school.
Aida compiled Sampo tensi shinan (1788), a book of geometry problems, developing formulas for ellipses, spheres, circles etc. He explained the use of algebraic expressions and the construction of equations. He also worked on number theory and simplified continued fraction methods due to Seki.
Reference (One book/article)