“{{W|Prosthaphaeresis}}... had been devised by {{w|Johannes Werner}}... and was likely brought to {{w|Tycho Brahe}} by... {{w|Paul Wittich}}... in 1580... This method was based on...{{center/s}}\sin A \sin B = \frac{1}{2}[ \cos (A-B)- \cos (A+B)],\cos A \cos B = \frac{1}{2}[ \cos (A-B)+ \cos (A+B)].{{center/e}}With... a table of sines, these... could... replace multiplications by additions and subtractions, something...Wittich found out, but apparently Werner didn’t realize.”