FILUM AQUAE

from Bouvier's Law Dictionary, Revised 6th Ed (1856)
FILUM AQUAE. The thread or middle of a water course. (q.v.) 
     2. It is a general rule, that in grants of lands bounded on rivers and 
streams above tide water, unless otherwise expressed, the grant extends 
usque ad filum aquae, and that not only the banks, but the bed of the river, 
and the islands therein, together with exclusive right of fishing, pass to 
the grantee. 5 Wend. 423. 
    

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