Possible origin of straight line mechanism linkage_ inversive geometry_ Peaucellier_ where come from

Building this linkage out link by link might be helpful. Math concept application.
I think that the video • MAA College Geometry P... is excellent.
I used Wikipedia too.
My Google Drive folder of the pictures used in this video:
drive.google.c...
Included here if you want to flip through the pictures instead of the video option.
Note that the 2 dashed black triangles are similar triangles. I labeled 2 angles to make this easy to see.
The 2 orange triangles later are similar triangles too.
I know that the sound quality is bad. I just ordered a microphone to fix this problem for future videos.
I had to rerecord a bunch of sentences because words were slurred too much. This made things sound less smooth though because I was trying to make sure words came through. Also made the video longer.
motivation (probably a note mostly to myself):
1) My goal is not to reinvent the wheel.
I was wondering how the Peaucellier linkage worked, so I looked up the proof on Wikipedia. Ok, reasonable enough.
2) There are plenty of things that I don't care about where they came from. This linkage appears to have some spaghetti aspects to it though, so I did wonder some where it came from (the idea, not the actual history).
3) After studying inversive geometry some, I had an idea where the Peaucellier linkage might have come from. Showing this in Fusion 360 was pretty easy.
4) Making a video holds some water. I'm on the fence. Maybe has some point. Maybe the video is pointless. I think that the title will guide people who wonder the same thing to this video.
keywords:
where a straight line mechanism linkage might have come from,
how a Peaucellier linkage might independently be thought up,
inversive geometry application, rhombus linkage,
Peaucellier linkage, Peaucellier-Lipkin linkage,
MAA College Geometry Project - 10 - Inversion.