"[I]t is by the help of geometry that all the arts necessary for improving life,.. as geography,.. rules of navigation…"

"[W]ithin the memory of ourselves and... our fathers, philosophers began to extend the limits of geometry in order to …"

"It is... most gratifying to my soul that, after spending a large part of my life in other universities, I can be link…"

"[T]he easier, simpler and less composite these theories are, the more they will be consonant not only with what has a…"

"In the past many very base Remus’s leapt over the walls of the astronomical city, but now the geometers have so forti…"

"[W]hat sharpness of mind was employed by John Kepler... when, from there being just five regular solids... he inferre…"

"[G]lory has been reserved to our era and to the English people, who since the instauration of the sciences have made …"

"After great and fruitful efforts both in the purer geometry and the more intricate and complex physics, the most skil…"

"After Kepler’s bold and fruitful efforts to advance natural philosophy by the help of geometry, there should have app…"

"Although in every age there have been those who cultivated astronomy, either by... observations... or by theories and…"