Okay, I do know there are linear and circular polarizers. Here is my problem. While rummaging through some of my camera bags I found a polarizer I forgot I owned. What it says on the filter is "Tiffen circular polarizer.
Now logic would have me believe it is a circular polarizer and not just the shape of the filter which is round. My problem is that over the years, first SLR in 1974, I have bought a few polarizers. I know you are not suppose to use a linear polarizer on a digital camera so I am reluctant to just slap this filter on a lens and test it out, one source suggested it could damage my camera's internals.
Well, the damage myth has been covered.
It wasn't just DSLRs. A lot of FSLRs wanted circular polarizers. I had an early one, a Nikon FA I got around 1985. It needed circular polarizers or you'd have metering errors.
But I might have bought this filter when I purchased my first digital camera in 2004 (the Original Digital Rebel camera with a whooping 6.2 megapixels). In this case the word circular would mean circular in the technical sense and not the shape sense.
Circular polarizer always means in the technical sense, not the shape sense.
I am often amazed when I go into Facebook marketplace and see a picture of a bike with the caption "bike" under it. Maybe it is because I am incredibly intelligent that I am able to look at the picture of the bike and realize it is a bike. But I guess the author of this ad felt there were many stupid people out there who needed to know it is a bike.
Maybe Tiffen felt that the round shaped polarizer need to be labelled "circular" to let the stupid folks know the shape of the filter.
So is my Tiffen filter a circular or linear?
Probably linear. Again, not about the shape, but about the physics.
Like you said, old polarizer that you found in a camera bag, at least 20 years old and possibly much older.
Tiffen circular polarizers were notorious for failures. Circular polarizers have a conventional linear polarizer and a "1/4 wave delay plate" that transforms linear polarization into circular polarization. I don't know where Tiffen sourced those 1/4 wave plates, but I had two of them fail. First it would delay less than 1/4 wave, causing the polarizer to color your sky randomly yellow or cyan as you rotated the polarizer. Then it would fail outright and the polarizer became a pure linear polarizer.
(Oh, and if you're looking for more info on this, it's not actually called a "1/4 wave delay plate", I had to use "delay" to replace a scientific term for that dpReview thinks is a "bad word").
I had two old Tiffens fail. I also had an expensive Heloppan IR blocking filter fail. That's about it for filter failures. That's how those two companies because people I'll never deal with again.