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Your search keyword '"Pascal's theorem"' showing total 13 results
Start Over Descriptor "Pascal's theorem" Journal the american mathematical monthly
13 results on '"Pascal's theorem"'

1. The Theorem of Pappus: A Bridge Between Algebra and Geometry

Author

Elena Anne Marchisotto

Subjects
Pure mathematics, Pappus's centroid theorem, General Mathematics, Geometry, Algebraic geometry, Bridge (interpersonal), Non-Desarguesian plane, Pascal's theorem, Mathematics, Projective geometry
Abstract

(2002). The Theorem of Pappus: A Bridge Between Algebra and Geometry. The American Mathematical Monthly: Vol. 109, No. 6, pp. 497-516.

Published
2002

2. A Generalization of Routh’s Triangle Theorem

Author

Branko Ćurgus and Árpád Bényi

Subjects
Fundamental theorem, Menelaus' theorem, Mathematics::General Mathematics, General Mathematics, Computer Science::Computational Geometry, Ceva's theorem, Euler's theorem in geometry, Combinatorics, symbols.namesake, Routh's theorem, symbols, Derivation of the Routh array, Stewart's theorem, Pascal's theorem, Mathematics
Abstract

We prove a generalization of the well known Routh's triangle theorem. As a consequence, we get a unification of the theorems of Ceva and Menelaus. A connection to Feynman's triangle is also given.

Published
2013

3. From Pascal’s Theorem to d-Constructible Curves

Author

Will Traves

Subjects
Discrete mathematics, General Mathematics, Converse, Pascal (programming language), computer, Pascal's theorem, Mathematics, computer.programming_language
Abstract

We prove a generalization of both Pascal's Theorem and its converse, the Braikenridge–Maclaurin Theorem: If two sets of k lines meet in k2 distinct points, and if dk of those points lie on an irred...

Published
2013

4. Lexell's Theorem Via an Inscribed Angle Theorem

Author

Hiroshi Maehara

Subjects
Pure mathematics, symbols.namesake, General Mathematics, Mathematical analysis, symbols, Green's theorem, Brouwer fixed-point theorem, Inscribed angle, Squeeze theorem, Pascal's theorem, Mean value theorem, Mathematics
Abstract

(1999). Lexell's Theorem Via an Inscribed Angle Theorem. The American Mathematical Monthly: Vol. 106, No. 4, pp. 352-353.

Published
1999

5. A Theorem about Zig-Zags Between Two Circles

Author

Howard C. Howland, W. L. Black, and Bradford Howland

Subjects
Combinatorics, Problem of Apollonius, symbols.namesake, Hadamard three-circle theorem, General Mathematics, Five circles theorem, Seven circles theorem, symbols, Six circles theorem, Monge's theorem, Descartes' theorem, Pascal's theorem, Mathematics
Abstract

(1974). A Theorem about Zig-Zags Between Two Circles. The American Mathematical Monthly: Vol. 81, No. 7, pp. 754-757.

Published
1974

6. Quadrangles, Butterflies, Pascal's Hexagon, and Projective Fixed Points

Author

Dixon Jones

Subjects
Combinatorics, General Mathematics, Calculus, Pascal (programming language), Projective test, Fixed point, computer, Pascal's theorem, Mathematics, computer.programming_language
Abstract

(1980). Quadrangles, Butterflies, Pascal's Hexagon, and Projective Fixed Points. The American Mathematical Monthly: Vol. 87, No. 3, pp. 197-200.

Published
1980

8. Matrix Proof of Pascal's Theorem

Author

James J. McMahon

Subjects
Discrete mathematics, Matrix (mathematics), Proofs of Fermat's little theorem, General Mathematics, Pascal (programming language), computer, Pascal's theorem, computer.programming_language, Mathematics
Abstract

(1958). Matrix Proof of Pascal's Theorem. The American Mathematical Monthly: Vol. 65, No. 1, pp. 24-27.

Published
1958

9. On Pascal's Theorem

Author

J. H. M. Wedderburn

Subjects
Discrete mathematics, General Mathematics, Pascal's theorem, Mathematics
Published
1945

10. A Development of the Jordan Curve Theorem and the Schoenflies Theorem for Polygons

Author

S. B. Jackson

Subjects
Discrete mathematics, General Mathematics, Wallace–Bolyai–Gerwien theorem, Bruck–Ryser–Chowla theorem, Jordan curve theorem, Combinatorics, symbols.namesake, symbols, Green's theorem, Brouwer fixed-point theorem, Pascal's theorem, Mean value theorem, Mathematics, Carlson's theorem
Published
1968

11. On (what should be) a Well-Known Theorem in Geometry

Author

Daniel Pedoe

Subjects
symbols.namesake, Kelvin–Stokes theorem, General Mathematics, symbols, Danskin's theorem, Absolute geometry, Geometry, Foundations of geometry, Brouwer fixed-point theorem, Pascal's theorem, Synthetic geometry, Mathematics, Euler's theorem in geometry
Published
1967

12. Pascal's Theorem on an Oval

Author

R. Artzy

Subjects
Algebra, General Mathematics, Calculus, Pascal's theorem, Mathematics
Published
1968

13. Note on a Theorem in n-Dimensional Geometry

Author

L. A. Wigglesworth and O. Taussky

Subjects
Intersection theorem, Pure mathematics, Fundamental theorem, General Mathematics, Absolute geometry, Euler's theorem in geometry, Combinatorics, symbols.namesake, symbols, Danskin's theorem, Brouwer fixed-point theorem, Synthetic geometry, Pascal's theorem, Mathematics
Published
1948

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