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This author sounds like he's full of crap to me. I'm not going to spend $80 on his book to find out, but I find some things on his book jacket (http://wildegg.com/papers/DivineProp_LR.pdf) very suspect.

Rational trigonometry makes it all much simpler, by replacing transcendental functions like cos, sin and tan with arithmetic and high school algebra.

I learned trig in the 8th and 9th grade using basic arithmetic and high school algebra. Tangent = opposite length/adjacent length, Cosine = opposite length / hypotenuse length. I don't know how you can get simpler than that.

For sines, cosines, and tangents of angles, a $10 calculator eliminates look-up tables, gives you trig values for any odd angle you can punch in there (so that you don't have to use linear interpolation for angles like 28.7893 degrees), and they generally give you results better than 6 decimal places. How is this guy's results more accurate than that?

I also noticed that when you Google this guy, you get nothing but the link to his book at wildegg.com. If this guy is a brilliant mathematician who is rewriting Euclidian mathematics and devising systems better than Newtonian coordinate systems, why doesn't he have write-ups in publications like Scientific American and mathematical periodicals? This whole thing is looking more and more like a money-making gimmick to me. I would think engineering firms would be beating this guy's door down if he were for real.