Book for learning properties of triangle and circle

[Titan97]

Can you suggest a book that discusses properties of triangles and circles? (Like properties and theorems on circumcircle, excircle, nine point circle, etc).

Most of the geometry books are either to basic or too advanced. I have read a book on complex numbers by Liang Shin Hahn. But the geometry part in it is less and not much theorems are specified.

 

[jedishrfu]

There's a few Dover books on the subject but not sure if they cover the topics you are interested in:

https://www.amazon.com/dp/0486458059/?tag=pfamazon01-20

There also other Dover books listed on the same page of a similar nature.

 

[micromass]

Why not read the first few books of Euclid's Elements? The book was a standard to many brilliant mathematicians and physicists in history. It is still very readable and beautiful. Complement it with a book like Hartshorne's Geometry: Euclid and beyond. https://www.amazon.com/dp/0387986502/?tag=pfamazon01-20

No matter what book on triangles and circles you'll choose, they're all included in Euclid and Hartshorne anyway.

See my self-study guide on geometry for more information: https://www.physicsforums.com/insights/self-study-geometry-part-pure-geometry/

 

[jedishrfu]

Following up on Micromass's post, here's a reference to Euclid on Amazon:

https://www.amazon.com/dp/1888009195/?tag=pfamazon01-20

 

[micromass]

Following up on Micromass's post, here's a reference to Euclid on Amazon:

https://www.amazon.com/Euclids-Elements-Euclid/dp/1888009195/ref=sr_1_1?s=books&ie=UTF8&qid=1461672108&sr=1-1&keywords=euclid's+elements

Link doesn't work for some reason, but this one does: https://www.amazon.com/dp/1888009195/?tag=pfamazon01-20
Heath is a very good translation to Euclid with a lot of nice commentary.

Allow me to post some alternatives to Heath, from my insight article:

Euclid’s books have many translations. I personally very much like the website by Joyce http://aleph0.clarku.edu/~djoyce/java/elements/ Aside from giving Euclid’s original theorems and proofs, it gives very valuable commentary. If you wish to buy Euclid in book form then I recommend the following book https://www.amazon.com/dp/1312110783/?tag=pfamazon01-20 It comes with some neat exercises to test your understanding. The book can be downloaded for free legally: http://starrhorse.com/euclid/

 

[jedishrfu]

Thanks I fixed the link in the original post and have provided it here as well.. Apparently, the stuff after the ? in the link confused amazons web server which is funny considering amazon put it there but that's programming in action.

https://www.amazon.com/dp/1888009195/?tag=pfamazon01-20