Geometry Revisited

Coxeter. (1967). Geometry Revisited. Mathematical Association of America.

Type

Book

Intellectual base

Review or monograph

Year

1967

ISBN

9780883856192

Link

https://openlibrary.org/books/OL8191899Mmatched

Cited by

4 citations across 4 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 \(a/\sin A=b/\sin B=c/\sin C=2R\).
• Pole and polar
  • … conic or quadric and nondegeneracy, associated bilinear form, point and line coordinates, polarity map, incidence reciprocity, self-conjugate tangent case and degenerate exclusions are explicit. to An applied instance preserves the invariant under changed notation, scale, dataset, jurisdiction, or implementation..
• 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.

Verification

Does it exist? Confirmed. This work's ISBN resolves to a registered record, which fixes its identity. That is all it fixes.

Does it back the claim? Not recorded. Neither this nor any other of the 4 citations of this work carries a recorded support check.

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