The straight lines which join a number of given points taken in some specified order.(adjective)
Gnu Collaboartive International Dictionary of English: licensed under The Code Project Open License (CPOL)
Use "broken line" in a sentence
"It was not till 1142 that the Orthodox continued their broken line by electing Arsenios II, who like most"
"Then it heads off more or less north through the Brecks, past Wretham and Blackrabbit Warren, until it seems to fizzle out a mile beyond a little wood called Shaker’s Furze among a cluster of tumuli on Sparrow Hill, only to pick up its thread after miles of dull arable fields in a broken line running past Swaffham to the west."