In geometry, the neusis (νεῦσις; from Ancient Greek νεύειν (neuein) 'incline towards'; plural: νεύσεις, neuseis) is a geometric construction method that...

angle by using tools other than straightedge and compass. For example, neusis construction, also known to ancient Greeks, involves simultaneous sliding...

regular polygon with this property. This type of construction is called a neusis construction. It is also constructible with compass, straightedge and angle...

held against a straightedge might seem to be equivalent to marking it, the neusis construction is still impermissible and this is what unmarked really means:...

that produce very close approximations. It can be also constructed using neusis, or by allowing the use of an angle trisector. The regular enneagon has...

constructible with compass and straightedge. However, it can be constructed using a neusis construction. octagon 8 nonagon (or enneagon) 9 "Nonagon" mixes Latin [novem...

straightedge. However, it is constructible using neusis, or an angle trisector. The following is an animation from a neusis construction of a regular tridecagon with...

icositrigon has the distinction of being the smallest regular polygon that is not neusis constructible. A regular icositrigon is represented by Schläfli symbol {23}...

constructed using a compass and straightedge. However, it is constructible using neusis with use of the angle trisector, or with a marked ruler, as shown in the...

translations of the 12th century Non-Euclidean geometry Philosophy of mathematics Neusis construction History of A History of Greek Mathematics by Thomas Heath algebra...