Question about Full vs Crop Sensor Cameras

As someone who currently shoots Olympus m43, Nikon Dx, and Nikon FX, I see the following:

m43 + 45mm = 90mm EQ angle of view (2X crop factor)

DX + 58mm = 87mm EQ angle of view (1.5X crop factor)

FX + 85mm = 85mm EQ angle of view (no crop factor)

Depth of field at a given aperture decreases with increased sensor size.

The 3 setups above will give roughly the same image in the viewfinder when cameras are swapped out on a fixed tripod focused on the same subject at a fixed distance. Depth of field will be different (as stated above) if all are shot using the same aperture.
 
Before cameras existed you had to be a painter.
 
On crop sensor, I always used a 50mm . You can always shoot a little loose and crop but, if you run out of room, then you have a real problem.
 
Wrong.

Take a full frame camera mount a 100mm prime lense on it, mount it to a tripod. Find a car, and back up untill the car just fills the frame, rear bumper to front bumper.
Don't move the tripod, don't move the car.
Don't reframe.
Using the same lense, swap in a crop sensor camera. Take a picture, and said picture will NOT include the entire car. It will be missing quite a bit of the front and rear of the car.
That is not the same picture.
Full frame camera took a picture of an entire car.
Crop sensor camera took a picture of only part of a car.

The only way the pictures could be the same is if you reframed, that is physically move farther away with the crop sensor camera.

I believe that is true
www.flickr.com/photos/mmirrorless
 

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