Casey's theorem, also known as the generalized Ptolemy's theorem, is a theorem in Euclidean geometry named after the Irish mathematician John Casey....

theorem based on Casey's theorem on the bitangents of four circles tangent to a fifth circle was published by John Casey in 1866; Feuerbach's theorem...

CD}}\end{aligned}}} Casey's theorem Intersecting chords theorem Greek mathematics C. Ptolemy, Almagest, Book 1, Chapter 10. Wilson, Jim. "Ptolemy's Theorem." link...

flag theorem (Euclidean geometry) Butterfly theorem (Euclidean geometry) CPCTC (triangle geometry) Carnot's theorem (geometry) Casey's theorem (Euclidean...

the circumcircle, is found in Shay Gueron (2002). A proof based on Casey's theorem is in the paper. http://www.cut-the-knot.org/Curriculum/Geometry/Thebault1...

John Casey (12 May 1820, Kilbehenny, County Limerick, Ireland – 3 January 1891, Dublin) was a respected Irish geometer. He is most famous for Casey's theorem...

In mathematics, the Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle...

connecting two pulleys, in Casey's theorem characterizing sets of four circles with a common tangent circle, and in Monge's theorem on the collinearity of...

chords are drawn Carnot's theorem – Theorem in Euclidean geometry Casey's theorem – On four non-intersecting circles that lie inside a bigger circle...

Such a configuration is also the basis for Casey's theorem, itself a generalization of Ptolemy's theorem. The extension of Apollonius' problem to three...

pioneering vascular suturing techniques John Casey (mathematician) (1820–1891) – Irish geometer known for Casey's theorem Giovanni Domenico Cassini (1625–1712)...

\beta .\end{aligned}}} The law of cosines generalizes the Pythagorean theorem, which holds only for right triangles: if ⁠ γ {\displaystyle \gamma } ⁠...

and tangential components, which are orthogonal to each other. Siacci's theorem, formulated by the Italian mathematician Francesco Siacci (1839–1907),...

example, Grimaldi's Pizzeria is a national chain with 47 locations, while Casey's is a Fortune 500 company with 2,500 locations despite almost exclusively...

These include Pythagorean theorem, Thales' theorem, the Euclidean algorithm for greatest common divisors, Euclid's theorem that there are infinitely many...

of algebraic geometry are fundamental in Wiles's proof of Fermat's Last Theorem, a problem that was stated in terms of elementary arithmetic, and remained...

In spherical geometry, Lexell's theorem holds that every spherical triangle with the same surface area on a fixed base has its apex on a small circle...

– via scottaaronson.com. Ringbauer, Martin; Broome, Matthew A.; Myers, Casey R.; White, Andrew G.; Ralph, Timothy C. (19 June 2014). "Experimental simulation...

shortening on a sphere can be used as part of a proof of the tennis ball theorem. This theorem states that every smooth simple closed curve on the sphere that...

Ford Award) give a proof of the Nine-Point Circle Theorem. Casey, John (1886). Nine-Point Circle Theorem, in A Sequel to the First Six Books of Euclid (4th ed...

context, Clairaut worked out a mathematical result now known as "Clairaut's theorem". He also tackled the gravitational three-body problem, being the first...

Based on 'The Room'". Variety. June 9, 2014. Retrieved June 20, 2014. Coit, Casey (October 11, 2016). "Abbi Jacobson, Dave Franco and Jane Kaczmarek to Star...

the National Oceanography Centre in the United Kingdom, was quoted in Casey's book in 2010 as saying: "We don't have that random messy theory for nonlinear...

romance Labor Day (2013), and Terry Gilliam's science fiction film The Zero Theorem (2013). In 2014, Hedges had a minor role in Anderson's The Grand Budapest...

the mix. Main Title (2:44) Genie Mopper (0:37) First Calculation (1:08) Theorem (0:42) Kick Ass Choir (0:59) Mystery Math (2:28) Them Apples (0:57) Jail...

Episode: "Gone With the Wand" Transformers: Robots in Disguise Axiom and Theorem Episode: "Brainpower" Wabbit Hubie and Bertie Episode: "Appropriate Technology"...

golden ratio with the Pythagorean theorem. Kepler said of these: Geometry has two great treasures: one is the theorem of Pythagoras, the other the division...

can be localized by the presence of disorder in a system) and Anderson's theorem (concerning impurity scattering in superconductors); invented the Anderson...

and James Ingalls. Siacci also studied theoretical mechanics (Siacci's theorem, rigid body dynamics, canonical transformations, and inverse problems)...

into a pictorial language". Then, as in noisy-channel model, we use Bayes theorem to get p ( x | y ) ∝ p ( y | x ) p ( x ) {\displaystyle p(x|y)\propto p(y|x)p(x)}...