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I want to learn perspective formally for art. I understand that this comes under Projective Geometry, but every book I found was about studying abstract projective spaces, assuming prerequisite knowledge of algebraic geometry. I am not sure if this will help me. I would like to have something that focuses on straight rule and compass constructions on figuring out how to put cubes, spheres and other simple forms and their cast shadows in 3d space.

In essence, I want to learn the formal theory of what's covered by this YouTube channel (with the proofs for why they are true).

P.S. I am familiar with most of undergraduate level math and grad level analysis.

Shaikh Ammar
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  • Did you try books at the Internet Archive and at Google Books, many of which are freely available? I've date-restricted the Google-Books search to 1850-1928, the lower year being low enough to include most everything I suspect would be useful to you and the upper year being chosen to avoid most copyright issues (at least where I live). Include appropriate math search words to help limit the searches to what you want. – Dave L. Renfro Jan 28 '25 at 11:18
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    @Dave L. Renfro There are many perspective drawing books for artists that I am aware of, but I don't like these. They are just compilation of rules to follow with no proofs informal or otherwise for why they are true. They are no axioms or anything. – Shaikh Ammar Jan 28 '25 at 11:24
  • Maybe adding the words "projective" and "geometry" will help. – Dave L. Renfro Jan 28 '25 at 11:34
  • An answer to a related question. – Kurt G. Jan 28 '25 at 12:29

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