Book for learning properties of triangle and circle

In summary, the conversation suggests that the requester is looking for a book on the properties of triangles and circles, particularly on circumcircle, excircle, and nine point circle. They have found that most geometry books are either too basic or too advanced, and are interested in a recommendation that includes these topics. Some suggestions include a book on complex numbers by Liang Shin Hahn, Dover books on geometry, and Euclid's Elements. The conversation also mentions Hartshorne's Geometry and a self-study guide on geometry. A link to Euclid's Elements on Amazon is provided, along with a recommendation for Heath's translation and a free online resource with commentary and exercises.
  • #1
Titan97
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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.
 
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  • #3
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/
 
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  • #5
jedishrfu said:

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/
 
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  • #6
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
 

Related to Book for learning properties of triangle and circle

1. What is the purpose of a book for learning properties of triangle and circle?

A book for learning properties of triangle and circle is designed to provide a comprehensive understanding of the fundamental concepts and properties related to these two geometric shapes. It aims to help readers gain a deeper understanding of the relationships between different elements of triangles and circles, and how they are used in various mathematical and scientific applications.

2. How is the information presented in a book for learning properties of triangle and circle organized?

The information in a book for learning properties of triangle and circle is typically organized into chapters, with each chapter focusing on a specific aspect or property of these geometric shapes. The content is usually presented in a logical and sequential manner, starting with the basic definitions and building up to more complex concepts.

3. Is prior knowledge of geometry required to understand a book for learning properties of triangle and circle?

While some basic knowledge of geometry may be helpful, most books for learning properties of triangle and circle are written in a way that is accessible to readers with little to no prior knowledge of the subject. They often provide clear explanations and examples to help readers grasp the concepts and build a strong foundation in the topic.

4. Are there any practical applications of the properties of triangle and circle?

Yes, the properties of triangle and circle have numerous real-world applications in fields such as engineering, architecture, physics, and even art. For example, understanding the properties of triangles is crucial in designing stable structures, while the properties of circles are used in the design of many machines and vehicles.

5. Are there any interactive elements in a book for learning properties of triangle and circle?

Many books for learning properties of triangle and circle include interactive elements such as diagrams, illustrations, and exercises to engage readers and enhance their understanding of the subject. Some books may also come with online resources, such as practice quizzes and interactive simulations, to further aid in the learning process.

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