The neusis construction ( from Greek νεῦσις from νεύειν neuein `` incline towards '' ; plural : νεύσεις neuseis ) consists of fitting a line element of given length ( a ) in between two given lines ( l and m ) , in such a way that the line element , or its extension , passes through a given point P . That is , one end of the line element has to lie on l , the other end on m , while the line element is `` inclined '' towards P . A neusis construction might be performed by means of a ` Neusis Ruler ' : a marked ruler that is rotatable around the point P ( this may be done by putting a pin into the point P and then pressing the ruler against the pin ) .
The neusis construction ( from Greek νεῦσις from νεύειν neuein `` incline towards '' ; plural : νεύσεις neuseis ) fits a line element of given length ( a ) in between two given lines ( l and m ) , in such a way that the line element , or its extension , passes through a given point P . That is , one end of the line element has to lie on l , the other end on m , while the line element is `` inclined '' towards P . A neusis construction might be performed by means of a ` Neusis Ruler ' : a marked ruler that is rotatable around the point P ( this may be done by putting a pin into the point P and then pressing the ruler against the pin ) .