The College of the Society of Jesus of the Conception of Ispay

OF VITELLIO

THE MOST LEARNED MATHEMATICIAN

You have in this work, Kind Reader, both a great number of geometrical elements which are found nowhere in Euclid, and truly also concerning the projection, inflection, and refraction of the rays of sight, lights, colors, and forms, in transparent bodies and in mirrors—plane, spherical, columnar, pyramidal, concave, and convex—namely, why certain images of seen objects appear equal, some larger, some smaller, some upright, some inverted, some within [the mirror], and some indeed outside themselves, hanging in the air with great wonder; why some show the true motion of a thing, and some show the same in reverse; why some, when set opposite the Sun, burn most vehemently and kindle fire when material is applied; and concerning shadows, and various deceptions regarding sight, upon which a great part of natural magic depends. All things are most diligently delivered by this author (who, by the consensus of all the learned, holds the first place in this genre of writing), being no less useful than pleasant for the solid knowledge of abstruse things. Now for the first time brought to light through the labor of the most excellent mathematicians, Doctors Georg Tansteter and Petrus Apianus.

A large rectangular woodcut illustration depicting various natural and optical phenomena in a landscape. In the upper corners, two faces representing the sun shine down. On the left side, a vibrant rainbow arches over a river and trees. In the foreground on the left, a man observes the scene. On the right, another man stands near a large classical archway, manipulating a large concave burning mirror that focuses the sun's rays to a single point. In the middle ground, there are hills and buildings under a sky filled with rays of light, illustrating principles of reflection and refraction.

Previous page translation for continuity:
See ahead? equal [lines], shorter than lines. fol. 126. no. 19.
Reflection at equal angles. fol. 127. no. 20.
Pyramids. fol. 127. no. 22.
Perpendicular. p. 127. no. 21.
Reflection. [fol.] 128. no. 24.
Cathetus. fol. 129. no. 27. 28. fol. 131. no. 36. and? 37. fol. 133. no. 43. fol. 146. no. 7.
Impossible. fol. 130. from no. 29.
Possible. fol. 137. from no. 51.
To find locations. fol. 133. from no. 44.
Altitudes. fol. 136. from no. 53.
In one image another. fol. 136. no. 56.
To see what may happen in another house. f. 137. no. 57.
Cathetus. fol. 150. no. 29. fol. 154. no. 32. pag. 121 . 131. in the theorem.
The angle of incidence is equal to the angle of reflection. fol. 124. no. 12. 10. 16. 14.
Shortest lines. fol. 126. no. 18.
Reflection by the shortest lines. p. 9. no. 17.

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