# Tagged Questions

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### Looking for a proof that the diameter of the smallest bounding circle is less than or equal to $\frac{2}{\sqrt{3}}$ times the diameter of the set

This came up while I was attempting to solve an old journal problem. It's not the easiest result to search for so I figured I would ask. Let $E$ be a subset of $\mathbb{R}^2$, then the diameter of ...
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### Prerequisites for Hilbert Cohn-Vossen's Geometry and the Imagination?

I've not read this book(not really),but I would like to know how much is assumed by the reader. can I recommend this to the layperson? Also ,any more recent similar books? I already know of Courant ...
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### Text defining length, area and volume

I am looking for a geometry textbook that axiomatises concepts such as length, area and volume of objects in Euclidean space; for example, the surface area of a 2-sphere in 3-space. Such a text would ...
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### A book on analytic geometry

It's easy to find good recommendation for books here for any subject other than analytic geometry ,therefore I'd like to ask for any suggestion of analytic geometry books ,the only charactrestic I'm ...
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### Where can I find a good set of notes discussing main theorems/ideas surrounding non-orientable surfaces?

I'm currently looking at non-orientable surfaces, but know very little about them. Is there are good set of notes that will teach me the classical results surrounding non-orientable surfaces?
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### Why is Volume^2 at most product of the 3 projections?

Is there a simple proof for $$\text{Vol}^2(P)\le \prod_{i=x,y,z} \text{Area}(\text{Proj}_i(P)),$$ where $P\subset \mathbb R^3$ and $\text{Proj}_z(P)$ denotes the projection of $P$ to the $z=0$ ...
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### Question about Qing Liu's Algebraic Geometry book

I was just wondering what the real prerequisites are for reading Qing Liu's 'Algebraic Geometry and Arithmetic Curves', and if it is a good first book on the subject. In his preface he states that the ...
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What is a good follow-up to Stillwell's Four Pillars of Geometry? Also Algebraic Geometry/ Topology sounds fun -- are there any good undergrad books on that?
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### Good book on non-Euclidean geometry

What's a good book on non-Euclidean geometry for undergrads? Especially ones that consider hyperbolic and spherical trigonometry?
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### Reference Request: Split-Complex Numbers

Does anyone have a recommendation for a good book on split-complex numbers? If it also covers dual numbers or the relation between split-complex numbers and special relativity or Minkowski 4-space or ...
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### good text books for axiomatic solid geometry?

I read the book about plane geometry : Marvin Jay Greenberg Euclidean and non-euclidean but it's only for the plane geometry so I want know about axiomatic solid geometry. Can someone recommend a ...
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### Reference request: algebraic methods in geometry

I am a (soon to be) third year undergraduate who has just finished courses in linear and abstract algebra. While I enjoyed the study of algebraic structures in their own right, my favorite part of the ...
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### Where to learn Euclidean geometry in-depth?

I am interested in Euclidean geometry and using compass and rulers to do constructions. I took geometry in high school but I feel like it didn't go in-depth enough. Where can I learn this online? I am ...
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### Beginning of Romance

I am a 17 guy from India. The fascination of maths has struck me recently, while I am in standard 12th. But all the resources I have, is some school textbooks. M.L Agrawal's of 11th and 12th. I don't ...
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I would like to get some references which explains Gauss-Bonnet-Chern theorem and its original proof by Chern. I tried to read his paper published in 1944 "A Simple Intrinsic Proof of the Gauss-Bonnet ...
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### Most accurate translation of Euclid's Elements

Which is the most accurate translation of the Elements by Euclid? I have found manybtranslations but there seem to be some differences in each version. I would like to know which is the closest to the ...
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### Geometry basic problem

Hy! If i have a triangle with given: b-c=3 cm, a=6 cm and alpha is 30°, how do I draw this? Please help me by telling me where I can find this type of exercises online with explanations. Thank you!
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### Geometry reference-request

I would like some reference regarding geometry. I'm a student of civil engineering, and I wanted some insight in general geometry, e.g, know what originated it, what is valid today, etc. In specific, ...