3
$\begingroup$

Possible approach/content:

  • Modern
  • Practical (Navigation/Geodesy)
  • unifies with Euclidean/Hyperbolic Trigonometry
$\endgroup$
4
  • $\begingroup$ The best Wikipedia seems to have is this: gutenberg.org/files/19770/… although it is extremely old. I remember spherical trigonometry being an "extra" section in a textbook I had from high school way back when, but I don't even remember what that book was called, much less the author. I will try to post it if I remember, but I probably won't. $\endgroup$ Jun 27, 2016 at 0:41
  • $\begingroup$ This one is also ancient -- wilbourhall.org/pdfs/spherical_trigonometry2.pdf. I agree that it is surprising that there are not more good references. $\endgroup$ Jun 27, 2016 at 0:43
  • $\begingroup$ en.wikipedia.org/wiki/Spherical_geometry $\endgroup$ Aug 1, 2016 at 19:47
  • $\begingroup$ I finally found the book I was thinking about. Chapter 10 of "Trigonometry with Applications" by Graham, Sorgenfrey is all about Spherical Trigonometry. amazon.com/Trigonometry-Applications-John-Graham/dp/0395304504 The treatment might be too basic, I'm not sure what you're looking for. Before I learned about elliptic geometry I always told myself I would get around to reading that chapter and doing its exercises one day -- now maybe I'll just read something on elliptic geometry instead. Anyway the used copies on Amazon are cheap, the new ones not so much. $\endgroup$ Aug 11, 2016 at 20:51

2 Answers 2

3
+50
$\begingroup$

I don't know exactly if this is what you are looking for or if it's at the right level, but you might want to have a look at the first three chapters of John Ratcliffe's Foundations of Hyperbolic Manifolds. They concern Euclidean, spherical and hyperbolic geometry (with sections about trigonometry), and the book is modern and (in my opinion) well-writen.

$\endgroup$
1
$\begingroup$

Try Lyman Kells. Cheap used editions available. I have the War Department paperback.

https://www.amazon.com/spherical-trigonometry-tables-Department-education/dp/B0007I8VA6

$\endgroup$

You must log in to answer this question.

Not the answer you're looking for? Browse other questions tagged .