Geometry Revisited

Coxeter, H. S. M., & Greitzer, S. L. (1967). Geometry Revisited.

Type

Book

Intellectual base

Review or monograph

Year

1967

ISBN

9780883856192

Link

https://openlibrary.org/books/OL8191899Mmatched

Cited by

3 citations across 3 artifacts.

Domain-specific

• Euler Line
  • The nine-point center \(N\) is the midpoint of \(OH\), hence also lies on the line.
• Law of sines
  • For a Euclidean triangle with side lengths \(a,b,c\) opposite angles \(A,B,C\) and circumradius \(R\), the law of sines states \(a/\sin A=b/\sin B=c/\sin C=2R\).
• Right triangle
  • The canonical identity is Euclidean and nondegenerate; spherical, hyperbolic, projective, numerical-mesh, and generalized inner-product variants must state their metric and replacement theorems.

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Registry ID ref:1d1b9ea7ef4e · see in the full table