JF Ptak Science Books Quick Post
There aren't many other title pages in the history of mathematics that swing the doors of beauty and heaven and opportunity and logic and thought than the (appropriately-named) Bonaventura Francesco Cavalieri/Cavalerius. A Milanese (1598-1647) who taught at Pisa and who published eleven books and worked in wide fields in mathematics as well as astronomy and physics, published his Trigonometria... in Bologna in 1643, and sent a fabulous image to his new readers right there on his very illustrated and augmented title page.
Seldom have the doors of knwoledge been thrown open so wide and invitingly as this, with Trigonometria lightly awarding the reader with a new portal to fantastic opportunities--who wouldn't want to walk on in? The tools of trig are displayed on the ground at Trionometria's feet (arranged and not by happenstance), while five figures employ these same tools in the background hills, which are being bathed in a pure holy light of some sort, an inspiration from the sky. The doors are decorated with astronomical figures and light calculation, as well as polyons and geometrical drawings. And just to make sure that the author meant what he intended, we can see above the full/thick wind-blown hair of Trigonometria (which in itself seems very unusual to me, such a carefree adn tossled attitude) a fruit-garland, a horn of plenty in its way. Make no mistake--Cavalieri was making a king-sized offer to his reader to open their brains.
I did leave out a major part of the title--the section dealing with logarithms, which is basically a reprint of Cavalieri's early work (done in 1632), and which was the first work in Italian on that subject.