In geometry, Napoleon's theorem states that if equilateral triangles are constructed on the sides of any triangle, either all outward or all inward, the...

arrived in force on Napoleon's right flank. The coalition forces broke through Napoleon's lines, inflicting a devastating defeat. Napoleon returned to Paris...

Douglas–Neumann theorem, the Napoleon–Douglas–Neumann theorem and Petr's theorem. The PDN-theorem is a generalisation of Napoleon's theorem, which corresponds...

second Napoleon point, or the inner Napoleon point, of △ABC. The triangle △XYZ is called the inner Napoleon triangle of △ABC. Napoleon's theorem asserts...

but that is the beauty of this illustration. The graphic is from Napoleon's Theorem, which matches a graphical calculation technique that sometimes appears...

Miquel's theorem (geometry) Mohr–Mascheroni theorem (geometry) Monge's theorem (geometry) Morley's trisector theorem (geometry) Napoleon's theorem (triangle...

sides of an arbitrary triangle, either all outward or inward, by Napoleon's theorem the centers of those equilateral triangles themselves form an equilateral...

Pentagram Theorem". MathWorld. Weisstein, Eric W. "Pivot theorem". MathWorld. Miquels' Theorem as a special case of a generalization of Napoleon's Theorem at...

Mohr–Mascheroni theorem Napoleon's theorem Napoleon points Folens MATHS Programme Year 9, 3. Mascheroni constructions, Napoleon's problem, p. 72–73...

Middle School. 12 (4): 222–224. JSTOR 41182391. Gerber, Leon (1980). "Napoleon's theorem and the parallelogram inequality for affine-regular polygons". The...

centers of the circles form an equilateral triangle. This is known as Napoleon's Theorem. Given any Euclidean triangle △ABC and an arbitrary point P let d...

Aubel's theorem and a square version of the Napoleon's theorem. All three of these theorems are just a special case of Petr–Douglas–Neumann theorem. Given...

Mathematical Gazette. Petr–Douglas–Neumann theorem Thébault's theorem Napoleon's theorem Napoleon points Bottema's theorem Van Aubel, H. (1878), "Note concernant...

triangle Morley's trisector theorem Musselman's theorem Nagel point Napoleon points Napoleon's theorem Nine-point circle Nine-point hyperbola One-seventh...

independent of the location of C {\textstyle C} . Van Aubel's theorem Napoleon's theorem Koetsier, T. (2007). "Oene Bottema (1901–1992)". In Ceccarelli...

Apollonian gasket, Napoleon's theorem, logarithmic spirals, the "Futurama Theorem" from the episode "The Prisoner of Benda", the Pitot theorem, and the monkey...

complex, Napoleon Opening, Napoleon's theorem, Napoleon's problem, Napoleon snake eel, Napoleon fish, Napoleon, Napoleon points, Napoleonka George Alan...

his class in 1808, after which he took up a career as a lieutenant in Napoleon's artillery. Later, in 1818, Brianchon became a professor in the Artillery...

physicist. He was one of the first to rigorously state and prove the key theorems of calculus (thereby creating real analysis), pioneered the field complex...

direct similarity and equilateral triangles in proving Napoleon's theorem. He then built off Napoleon by proving that if an equilateral triangle was constructed...

Extract from the 1826 Ladies' Diary, giving geometric and analytic proofs for Napoleon's theorem...

development of complex numbers. As a military engineer, he served in Napoleon's campaign against the Russian Empire in 1812, in which he was captured...

Retrieved 9 May 2012. Wetzel, John E. (April 1992). "Converses of Napoleon's Theorem" (PDF). The American Mathematical Monthly. 99 (4): 339–351. doi:10...

Gauss produced the second and third complete proofs of the fundamental theorem of algebra. In number theory, he made numerous contributions, such as the...

research is underway to generalize the Mohr–Mascheroni theorem to non-Euclidean geometries. Napoleon's problem Geometrography Inversive geometry Projective...

released by orders of then-president Louis-Napoléon Bonaparte. October 23 – The conjecture of the four color theorem is first proposed, as student Francis...

triangles. History of π History of numerical approximations of π Napoleon's theorem Yasumasa Kanada Use of the symbol π - Department of Mathematics, University...

this theorem depends on the truth of Archimedes' axiom, which is not first-order in nature. Examples of compass-only constructions include Napoleon's problem...

circles of France. According to Howard Eves, the theorem and a construction problem bearing Napoleon's name were discovered by Mascheroni, who let the...

Italian priest, geodesist, astronomer and scientist, known for Oriani's theorem and for his research on Uranus. His skill in spherical trigonometry enabled...