Daniel Santbech

In 1561, Santbech compiled a collected edition of the works of Regiomontanus (1436–1476), De triangulis planis et sphaericis libri quinque (first published in 1533) and Compositio tabularum sinum recto, as well as Santbech's own Problematum astronomicorum et geometricorum sectiones septem.

Santbech's work consisted of studies on astronomy, sundials, surveying, and levelling for water courses.

Santbech also studied the subject of gunnery and ballistics as a theoretic discourse as well as for the practical application of war, and utilized the foundations of geometry, with ample references to Euclid and Ptolemy, in order to do so.

These were depicted with abruptly acute angles and straight lines, allowing him to create a right-angled triangle from which ranges were computed with the help of a table of sines.

Santbech was of course fully aware that a cannonball's true trajectory would not consist of a straight line and a sudden drop, but these depictions were meant to assist with mathematical calculations.