And last of all we have the secondary forms of crystals bursting in upon us, and sparkling in the rigidity of mathematical necessity and telling us, neither of harmony of design, usefulness or moral significance, nothing but spherical trigonometry and Napier's analogies. It is because we have blindly excluded the lessons of these angular bodies from the domain of human knowledge that we are still in doubt about the great doctrine that the only laws of matter are those which our minds must fabricate, and the only laws of mind are fabricated for it by matter.
Jaisingh collected and studied all the available astronomical works...Several European works were translated into Sanskrit under his orders, particularly Euclid ’s elements, with a treatise on plane and spherical trigonometry ; and on the construction and use of logarithms ...and also a treatise on conical sections...maps and globes of the Ferenghis were obtained from Surat .
The development of Indian trigonometry , based on sine as against chord of the Greeks , a necessity for astronomical calculations with his own concise notation which expresses the full sine table in just one couplet for easy remembrance. One of the two methods suggested by him for the sine table is based on the property that the second order sine differences were proportional to sines themselves.