dovetail

dovetail \DUHV-teyl\, verb:

1. To join or fit together compactly or harmoniously.
2. In carpentry, a joint formed of one or more such tenons fitting tightlywithin corresponding mortises.
3. To join or fit together by means of a carpentry dovetail or dovetails.

noun:
1. In carpentry, a tenon broader at its end than at its base; pin.

But in "Arcadia" the two periods don't dovetail until the last part of the play.
-- Tom Stoppard, Mel Gussow, Conversations With Stoppard

They seemed, after a fashion, to dovetail horribly with something which I had dreamed or read, but which I could no longer remember.
-- H.P. Lovecraft, The Shadow Out of Time

Dovetail originates in woodworking, with a joint that resembles the tail of a dove. The figurative sense derives from the tight fit made by such a joint.