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Construct the midpoint M of a line
segment specified by two points A and B with a movable compass
alone. Step by step solution is illustrated
above.
Mascheroni or MohrMascheroni
Construction
A geometric construction done with a
movable compass alone, named after the Italian geometer Lorenzo
Mascheroni (17501800), who, in his Geometria del compasso
(1797), astonished the mathematical world by showing how every
compassandstraightedge construction can be done just using a
compass without a ruler.
Straight line: it's assumed that two points, obtained by
arc intersections, define a straight line.
Georg Mohr (16401697) proved the same
results earlier in his Euclides danicus (1672).
Mascheroni, or MohrMascheroni,
constructions are today primarily of interest to puzzle
enthusiasts who try to improve on the older solutions by finding
ones with fewer steps.
