SERIES AND ORDER

2. On the wondrous composition of natural things to be investigated through the Microscope. original: "Smicroscopium"; an early term for the microscope. ibid. original: "ibid."; short for ibidem, meaning "in the same place."
3. On Telescopes and their effects. 731
Display 1. original: "Parastasis" To represent mountains, rivers, seas, immense level plains, vast abysses, lakes, forests, and in them animals of every kind by a telescope original: "tubo optico" with a new art, so that nothing else appears outside of the things seen. 732
2. In what way can the things said to be in the air, as well as rainbows, clouds, the Sun, Moon, and Stars be represented? 733

PART III.

Catoptric Magic, or concerning the prodigious exhibition of things through mirrors. Catoptric: The branch of optics dealing with the reflection of light by mirrors.

CHAPTER I. On the making of mirrors. 735

II. On the various properties of mirrors, treated through six propositions. 737
III. On spherical convex mirrors. 742
IV. On spherical concave mirrors and their prodigious operations, treated through four propositions. 743
V. On cylindrical mirrors and their properties. 745
VI. On conical mirrors and their properties. 747
VII. On parabolic, hyperbolic, and elliptical mirrors and their properties. ibid.
On the description of the parabolic, hyperbolic, and elliptical forms, through eight Problems. ibid.

CHAPTER I. On caustic or burning mirrors, their effects, and use. 757 Caustic: From the Greek 'kaustikos' (burning); mirrors designed to concentrate sunlight to ignite objects.

§. 1. Whether Archimedes and Proculus set fire to ships at such a great distance as authors describe? Referring to the legend of Archimedes using mirrors to burn the Roman fleet at Syracuse. ibid. And whether a caustic mirror can be made into an infinite burner? ibid.
On caustic mirrors, flat and spherical. 765
Problem 1. To construct a distilling vessel original: "Alembicum" with such art that, by the help of burning mirrors alone, it obtains a greater efficiency in distilling than a strong fire. 767
2. To construct a machine that, at any given hour, raises a fire on an altar, lights candles,

and after the sacrifice is performed, produces a fountain that extinguishes the kindled fire. ibid.
3. To construct an ingenious lamp that exhibits written words to be read at a remote distance. 768
4. On the construction of the Magic or Wonder-working Lantern. 768 The "Magic Lantern" was the ancestor of the modern slide projector.
5. On the Display Microscope. original: "Smicroscopio Parastatico" 771
6. To construct a machine from flat mirrors that burns at a hundred feet and beyond. ibid.
7. To construct a statue that, at sunrise and at each subsequent hour when struck by the Sun, raises a prodigious sound. 773 This refers to the legendary "Statue of Memnon" in Egypt, which was said to sing at dawn.

CHAPTER II. On the multi-showing flat mirror and the multiplication of images. original: "polydixi" ibid.

Display 1. Flat mirrors are multiplicative of the images of a single thing. 774
2. To exhibit a dragon of as many heads as desired with two mirrors. ibid.
A multi-lamp candlestick; a multi-headed statue. 775
3. On the wondrous spectacles of mirrors arranged in an equilateral prism. original: "prisma isopleurum" ibid.
4. To construct a Multi-showing Catoptric Theater, in which whatever you wish may be exhibited according to the pattern of nature. 775

CHAPTER III. On the exit of the Image original: "Idoli" outside the mirror, or on the representation of things in the air outside the mirror. 779

Technical Invention 1. original: "Techmaſma" Catoptric. To represent the object of an image in the middle of the air. 781
2. To exhibit images of things in the air in a cylindrical mirror. ibid.
3. To represent any figures in the air. 782
4. By the help of a magnet together with a mirror, the forms of things are exhibited in the air. ibid.

CHAPTER IV. On Catoptric Metamorphosis or transformation. ibid.

Metamorphosis 1. By the help of a mirror, to transform a man into any figure. ibid.
2. To exhibit various spectacles of things in the middle of darkness. 784
3. Transformation through convex cylindrical and conical mirrors. 785
4. To change the face into various colors. 786
5. To transform a man's face in a thousand ways. ibid.
6. Fa-