under Zanabazar's projects. He designed the Soyombo alphabet for the Mongolian, Tibetan and Sanskrit languages in 1686. Mathematician and astronomer Minggatu of Sharaid discovered 9 trigonometric equations and wrote 42 volumes of "The Roots of Regularites" (Зvй тогтлын бvрэн эх сурвалж), 5 volumes in linguistics (дуун ухаан), and 53 volumes of