I've been occupied in digging as deeply as possible into every intsy bit of data I can dig up on John Farey and Thomas Martin in an effort to determine if they are one and the same.
There is, what at present I will call a bit of mythology, that Thomas Martin, author of The Circle Of The Mechanical Arts and The Carpenters and Joiners' Instructor was actually John Farey, a geoleogist, civil engineer, polymath and all around latter day Da Vinci.
In this endeavor, I have checked citations to their sources, referenced original journals, compared original books, read obits, and generally done all that I can think of short of hiring a medium.
I can find no hard evidence that John Farey wrote as Thomas Martin. For that matter, I can find no evidence that a Thomas Martin actually existed as a civil engineer. But, not all Civil Engineers were members of formal societies.
The Circle Of The Mechanical Arts was an EDITED work rather than an Authored work. The editor freely thanks all those experts who contriburted their expertise to the volume, which volume continued to be referenced for many years after in numerous technical works.
The second title, Instructor, of which I have a copy, is essentially a reprint of the Carpentry and Joinery section of Circle. Someone thought it was worthwhile as there is a note on the inside front cover:
"Presented by R. Snowdon to M Henry Creamer as a Mark of his Respect this 16th day of February 1842"
The book was published in 1826.
The book binding section of Circle was writting by a G. Martin, who subsequently published that chapter under his own title (thanks to Jeff Peachy for bringing this to my attention). Other than the last name, I take that to be a coincidence.
At a later date I'll pull together all the citations, obits, advertisements, etc. that document this search. Much of this will find it's way into the intro to the reprint of Circle. For now, so far as I am concerned, there is no evidence to support Farey as Martin. The references I've received that refer to Farey as Martin are simply to technical articles Farey wrote that have nothing to do with bookbinding, Circle, or publshing of any sort.
If anyone has any good solid information, I'ld appreciate a buzz. The legal sort, please.