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 '' .
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 '' .