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Napoleon's problem

Napoleon's problem is a compass construction problem. In it, a circle and its center are given. The challenge is to divide the circle into four equal arcs using only a compass. Napoleon was known to be an amateur mathematician, but it is not known if he either created or solved the problem. Napoleon's friend the Italian mathematician Lorenzo Mascheroni…

Dividing a given circle into four equal arcs given its centre, Finding the centre of a given circle & Overview

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Dividing a given circle into four equal arcs given its centre

IntersectSquareCircumference
3 related topics

Finding the centre of a given circle

RadiusLengthStraightedge
3 related topics

Overview

Compass constructionCircleCenterArcsCompass
12 related topics

Finding the middle of a given distance or of a line segment

DistanceLine segment
2 related topics

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Overview

Dividing a given circle into four equal arcs given its centre

Finding the centre of a given circle

Finding the middle of a given distance or of a line segment

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Napoleon's problem

Nodes25
Edges24
Triples1
Avg. degree1.92
Density0.08
Components1

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Napoleon's problem

Top relations

is a · 1
Napoleon's problem → compass construction problem

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Important terminology

circle radius compass centre centered equal center point b' napoleon's arcs c1 problem given centred two circles ad using proof

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Napoleon's problemis acompass construction problem0.90text

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