converge
Pronunciation: /kənˈvəːdʒ/
verb
- 1(of lines) tend to meet at a point: a pair of lines of longitude are parallel at the equator but converge toward the poles
- come together from different directions so as eventually to meet: convoys from America and the UK traversed thousands of miles to converge in the Atlantic
- (converge on/upon) come from different directions and meet at (a place): half a million sports fans will converge on the capital for the London Marathon
- (of a number of things) gradually change so as to become similar or develop something in common: the aims of the two developments can and should converge

Origin:
late 17th century: from late Latin convergere, from con- 'together' + Latin vergere 'incline'