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Most of his papers are solutions to problems posed by Euler on spherical geometry, trigonometry , series, differential geometry and differential equations.
Slowly Caroline turned more and more towards helping William with his astronomical activities while he continued to teach her algebra, geometry and trigonometry .
Geometry, and its branch trigonometry , was the mathematics Indian astronomers used most frequently.
With an interest in trigonometry , mathematical instruments, astronomy, and geography, Regiomontanus was in a good position to give a lead.
In fact without the aid of the sine function and trigonometry it is hard to see how Hypsicles could have done better.
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