Okay, I've been sort of working on this concept in my head and I'm coming up with some different conclusions than others on this issue.
The comparisons I will make will take into account the following specifications:
Camera 5D MkII
max pixel size 5616 x 3744
image sensor size 36 x 24 mm
Camera 50D
max pixel size 4752 x 3168
image sensor size 22.3 x 14.9 mm
Here is my thinking. If I put a 100 mm focal length lens on the 5D, I get an image that is 5616 x 3744 pixels. That image is comprised of most of the image circle created by the lens (this is the point of the full frame camera with an EF lens attached). If I were to crop out of this image the pixels that would be the equivalent of a 50D image with the same lens, then that image would be 3479 x 2324 pixels. Here is the math I used to arrive at that statement:
22.3 mm / 36 mm = 0.6194 (this is the ratio of the full frame sensor size to the APS-C sensor size in the horizontal dimension)
14.9 mm / 24 mm = 0.6208 (ratio of full frame sensor size to APS-C sensor size in the veritical dimension)
Now, multiple the pixel count of the full frame sensor by the appropriate ratio and you get
5616 * 0.6194 = 3479 pixels for the horizontal and
3744 * 0.6208 = 2324 pixels for the vertical dimension
This tells me that if I crop out of a 5D MkII image the same size frame that an APS-C sensor would see using the same 100 mm lens, this is the image that I would have left, 3479 x 2324 pixels.
Hypothetically, if I take the same lens and shoot an image of exactly the same scene (think of the lens as being mounted on a tripod and the 5D detached and the 50D put in it's place), I would have an image that was the equivalent of approximately 40% of the 5D's image, or the same field of view as the 3479 x 2324 pixel crop I made of the 5D MkII image. However, the image that I make with the 50D has 4752 x 3168 pixels. So, when I view both images at the same resolution, say 240 pixels per inch, the cropped image from the 5D MkII is 14.50 inches x 9.68 inches. The image from the 50D is 19.80 inches x 13.2 inches. And both of these images should show exactly the same scene!
Coming at this from another direction, If I take a shot with both a 5D MkII and a 50D with the same lens mounted on a tripod (like in the above example), the 5D MkII image will have a certain field of view and the 50D image will have a correspondingly smaller field of view. But since the approximately 40% field of view of the 50D has more pixels concentrated on that part of the image, when viewed at the same resolution, the 50D image will appear to be "closer" to the viewer. That part of the 5D MkII image that corresponds to the 50D image will have less detail just by virtue of the fact that more pixels were trained on that part of the image.
I'm sure that I have made some sort of error in my methodology here, so will someone please point that out? I "know" that a 100 mm lens is a 100 mm lens no matter what body you put on it, but something has to account for the apparent increase in lens focal length when taking the same image from the same location using a full frame sensor camera and an APS-C sized sensor camera.
Sorry for being so long winded.