Does Compton Effect Formula Follow Original Derivation?

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Is the derivation of the Compton Effect formula shown on wikipedia the way Compton originally did it?
 
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Here is Compton's Nobel Prize lecture -

http://nobelprize.org/nobel_prizes/physics/laureates/1927/compton-lecture.pdf

He probably did the way shown on Wikipedia. I think his notes have been published, but I am not sure where.

See also - http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/compeq.html#c1

And one can search Goolge with "Compton effect" and find similar treatments.
 
There's a link to his paper off of wikipedia:

Phys. Rev. 21, 483 - 502 (1923)

In Fig. (1a) he sketches out the usual simple kinematics for a "incident quantum" of light scattering off an electron.