In mathematics, the Mohr–Mascheroni theorem states that any geometric construction that can be performed by a compass and straightedge can be performed...
22 KB (2,920 words) - 06:29, 14 April 2025
the priority for this result (now known as the Mohr–Mascheroni theorem) belongs to the Dane Georg Mohr, who had previously published a proof in 1672 in...
2 KB (171 words) - 07:42, 21 April 2025
proving the Mohr–Mascheroni theorem 125 years earlier than Lorenzo Mascheroni, would languish in obscurity until its rediscovery in 1928. Mohr served in...
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performed with a compass alone without needing a straightedge, by the Mohr–Mascheroni theorem. Alternatively, it can be constructed by rounding the sides of...
55 KB (6,518 words) - 01:13, 30 April 2025
Mohr–Coulomb theory, mathematical model describing the response of brittle materials Mohr–Mascheroni theorem, used in mathematics and geometry Mohr pipette...
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Jean Victor Poncelet in 1822, having been motivated by Mohr's work on the Mohr-Mascheroni theorem. He also conjectured and suggested a possible proof that...
94 KB (13,108 words) - 16:40, 26 May 2025
circle of a given radius at a different location) in proofs of the Mohr–Mascheroni theorem, which states that any construction possible with straightedge...
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Miquel's theorem (geometry) Mohr–Mascheroni theorem (geometry) Monge's theorem (geometry) Morley's trisector theorem (geometry) Napoleon's theorem (triangle...
78 KB (6,293 words) - 12:16, 2 May 2025
compass and straightedge can. It is possible (according to the Mohr–Mascheroni theorem) to construct anything with just a compass if it can be constructed...
36 KB (4,826 words) - 20:02, 2 May 2025
with a compass alone, not even needing a straightedge. By the Mohr–Mascheroni theorem the same is true more generally of any compass-and-straightedge...
57 KB (6,497 words) - 06:20, 24 March 2025
mathematics. For example, using analytic geometry he proved the Mohr–Mascheroni theorem. In applying mathematical logic in computer science to artificial...
7 KB (541 words) - 16:26, 3 November 2024
to a specific group of plants, the Umbelliferae. Georg Mohr publishes the Mohr–Mascheroni theorem, that any geometric construction that can be performed...
5 KB (518 words) - 16:44, 16 June 2024
Until then, the Mohr–Mascheroni theorem had been credited to Lorenzo Mascheroni, who published a proof in 1797, independently of Mohr's work. Soon after...
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(geometry) Möbius transformation Projective geometry Soddy's hexlet Mohr–Mascheroni theorem Inversion of curves and surfaces (German) Curves and Their Properties...
30 KB (4,386 words) - 23:54, 25 May 2025
targets Mohr–Mascheroni theorem – Constructions performed by a compass and straightedge can be performed by a compass alone Poncelet–Steiner theorem – Universality...
12 KB (2,408 words) - 20:44, 10 March 2025
using only a compass, but it is still possible according to the Mohr-Mascheroni theorem. The midpoint of any diameter of a circle is the center of the...
11 KB (1,415 words) - 07:36, 15 March 2025
"cyclography", constructions involving circles and spheres The Mohr–Mascheroni theorem, that in straightedge and compass constructions, it is possible...
6 KB (625 words) - 20:57, 2 April 2024
when the use of the compass or straightedge is restricted: by the Mohr–Mascheroni theorem there is no loss in constructibility if one uses only a compass...
4 KB (538 words) - 08:22, 23 December 2020
B, D ≙ O and A' ≙ A'. Mohr–Mascheroni theorem Napoleon's theorem Napoleon points Folens MATHS Programme Year 9, 3. Mascheroni constructions, Napoleon's...
7 KB (955 words) - 10:04, 4 May 2025
converges (i.e. gets arbitrarily close) to a number known as the Euler–Mascheroni constant γ = 0.5772.... This relation aids in analyzing the performance...
98 KB (11,674 words) - 16:13, 4 May 2025