All lenses that have a helicoid that moves the entire set of lens elements back and forth relative to the film plane will have focus breathing. At infinity focus, that type of lens is closer to the film plane (and farther from the foreground, midground, and background elements) so it has widest FoV (the one typically specified in the lens design). At close focus, that type of lens is farther from the film plane (and closer from the foreground, midground, and background elements) so it has a slightly narrower angle of view.
To the best of my knowledge, the vast majority of vintage photographic primes focus the lens by moving the whole assembly back and forth meaning they will definitely have focus breathing. I've never seen the
SMC Pentax 67 / SMC Pentax-6x7 45mm F4 Reviews - 67 Wide-Angle Primes - Pentax Lens Reviews & Lens Database but would guess it, too, moves the whole lens assembly and would have focus breathing.
Designing a lens that avoids focus breathing is not easy and only the makers of lenses dedicated to cinematography would take the trouble to make such a lens. Such a lens typically requires a fixed front group that defines the front nodal point relative to the film plane and then a moving back group (or groups) that adjust the focus.
If you need maintain a specific angle of view regardless of the focus setting, you actually need a lens that slightly changes focal length as it focuses. You could use a zoom lens and add your own markings to it for adjusting the zoom slightly to compensate for the focus setting.
The other way to create images that all have the identical angle of view regardless of the focus setting is to crop the infinity-focus images in post to match for angle of view the closer-focused images.
Originally posted by tuco 
Post #2 by photoptimist
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