Occult Hall
Book II Celestial Magic

Book II Lesson 29

A wonder made with numbers

Follow the flying dove and the curved mirror through page 168 to see where Agrippa places mathematics among the magical arts.

6 min studyFree introduction
An artisan adjusts a mechanical wooden dove while another scholar examines a garden reflected in a curved mirror.
ILLUSTRATED FOR THIS LESSON
THE FACSIMILE
Page 168 of Book II describes mechanical marvels and the images produced by shaped mirrors.
BOOK II   /   PAGE 168

From the 1651 edition

Follow the change of examples from the wooden dove to curved mirrors. Both let Agrippa ask how a maker produces wonder.

THREE BOOKS OF OCCULT PHILOSOPHY · 1651

Book II · Page 168

Focus of study

How can a wooden bird appear to do something alive, and what does Agrippa think that teaches a magician to study?

  1. Ask what the wooden dove imitates

    Look halfway down the first long paragraph of examples. Agrippa reports an ancient story about a flying dove made of wood. Take the description at the level he gives it. An observer would see an artifact performing one recognizable action of a bird. The page supplies no plans for a machine and no record of Agrippa testing one. Its flight is a report he expects his reader to consider.

    Now look a few lines higher. The translator speaks of things that lack the “Animall faculty.” A made object might move or make a sound while lacking the self-sustaining life Agrippa attributes to an animal. What interests him is how far a maker can reproduce one outward operation through an arrangement of materials and motions.

    An artisan adjusts a mechanical wooden dove while another scholar examines a garden reflected in a curved mirror.OCCULT HALL · INTERPRETIVE ILLUSTRATION
    PICTURE THE TEACHING

    How materials become a mechanical wonder

    The crafted bird and curved mirror connect natural materials with the mathematical relations that shape their effects.

    “the wooden Dove of Arthita, which did fly”

    1651 editionPage 168
  2. Let the curved mirror explain the change of subject

    After the musical statues and hissing bronze snake, the examples shift to shaped mirrors. The book calls them “glasses.” A concave mirror has a reflecting surface that curves inward. The shape changes the directions in which it sends light. Under suitable conditions the reflected rays can form an image that appears to occupy a place away from the mirror’s surface.

    Notice what a maker has to understand to obtain a chosen effect. Moving the object, changing the curvature, or moving the viewer changes what can be seen. Geometry describes the shape and positions. Optics concerns the path of light. Agrippa treats an appearance that startles a viewer as something the maker might deliberately arrange.

    SEE THE CONNECTION · AN ILLUSTRATED TEACHING

    How materials become a mechanical wonder

    Agrippa uses artificial marvels to connect natural materials with mathematical relations and the maker's understanding.

    ✦Material + relation + craft✦

    Choose a part to look closer.

    The wooden dove

    The reported flying dove imitates a living action through an artifact, but the account does not supply construction plans or direct verification.

    Read all the connections
    The wooden dove
    The reported flying dove imitates a living action through an artifact, but the account does not supply construction plans or direct verification.
    The curved mirror
    Curvature, object distance, and viewing position change the image, giving a clearer example of effects that depend on geometrical relations.
    The maker's knowledge
    A maker coordinates material properties with mathematical arrangements, explaining why a finished object can accomplish more than its ingredients considered separately.

    A reported marvel and an intelligible optical example support different degrees of reconstruction.

    “Geometry, and Opticks”

    1651 editionPage 168
  3. Read the list of subjects as a curriculum

    At the foot of the page Agrippa lists optics alongside arithmetic, music, geometry, and astronomy. “Middle” describes their place between the study of physical things and the study of mathematical relations. To choose a mirror you have to know something about an actual reflecting material. To place it successfully you have to reason about shapes and distances.

    This is how Agrippa opens the book on celestial magic. He has already made room for forms of wonder that depend on mathematical skill. When later chapters appeal to proportion in the heavens, his reader has an earthly example of what proportion can do. The example makes that next step intelligible. The mirror itself demonstrates a relationship between shape and an image.

    ON THE ORIGINAL PAGE

    Look at the passage itself.

    Agrippa · printed page 168Open the book
    01

    Agrippa · printed page 168

    Follow the change of examples from the wooden dove to curved mirrors. Both let Agrippa ask how a maker produces wonder.

    “the middle sciences”

    1651 editionPage 168
At your desk

Reading exercise

Draw a viewer, an object, and a mirror. Label one material question and one geometrical question a maker would ask. Then write beside the wooden dove the single action the old report claims for it.

Test your reading

If the wooden dove could truly fly, would Agrippa have to count it as a living bird to make his argument?

Check your answer

No. A maker’s ability to imitate flight is exactly the distinction he needs. An outward action can arise from a constructed arrangement. The mirror gives him a second instance in which a skilled maker can account for an apparently marvelous effect.

Explore your achievementsReflect on the exercise, then mark the lesson complete.
NEXT LESSON

What do we count as one?