Mohr–Mascheroni theorem
Encyclopedia
In mathematics
, the Mohr–Mascheroni theorem
states that any geometric construction that can be performed by a compass and straightedge
can be performed by a compass alone. The result was originally published by Georg Mohr
in 1672, but his proof
languished in obscurity until 1928. The theorem was independently discovered by Lorenzo Mascheroni
in 1797.
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
, the Mohr–Mascheroni theorem
Theorem
In mathematics, a theorem is a statement that has been proven on the basis of previously established statements, such as other theorems, and previously accepted statements, such as axioms...
states that any geometric construction that can be performed by a compass and straightedge
Compass and straightedge
Compass-and-straightedge or ruler-and-compass construction is the construction of lengths, angles, and other geometric figures using only an idealized ruler and compass....
can be performed by a compass alone. The result was originally published by Georg Mohr
Georg Mohr
Jørgen Mohr was a Danish mathematician. He travelled in the Netherlands, France, and England.Mohr was born in Copenhagen...
in 1672, but his proof
Mathematical proof
In mathematics, a proof is a convincing demonstration that some mathematical statement is necessarily true. Proofs are obtained from deductive reasoning, rather than from inductive or empirical arguments. That is, a proof must demonstrate that a statement is true in all cases, without a single...
languished in obscurity until 1928. The theorem was independently discovered by Lorenzo Mascheroni
Lorenzo Mascheroni
Lorenzo Mascheroni was an Italian mathematician.He was born near Bergamo, Lombardy. At first mainly interested in the humanities , he eventually became professor of mathematics at Pavia....
in 1797.