aecre A dhears and genera14 ed sya1h o is pr.d,, is aduomted for Hoe design of nmc notches mad or feer,otches hasinp a base i antsy pen' shape, to a &,a a. eveA that toe die- chtrge through it he proportion sat to cry singselar acanet ntieaity-incrsciag function of the depth of floss ., .c,ed abort a certai datum. The problem is redvced to finding an exact solution of a VWterre, infegral equation in Abed form, The eusrimkvtien of the depth of the datum below the west of t e sWch is investigated . Proof u .,.c that for a weir netrda made oul alone cena'nuane a nm, and for allow propartianat to the mth power of the hoed, it is impossible to bring 0. dahem louver than (8m -1)w Wow the sweet of the notch.
A new concept 4 an nrifir -vwteh, husirw dizntd, euity ist Gm torts weed +cowing a division of flow into t. distin2 portiee, is prassrW . The division o ff . is shown to huts a bonefunial ofTeed in reducing the datum below (else -1)e, from this crest of the ussir and still nnaist ortnp the proportionality of the fow. fixptrtsmiat proof oath me each arjico-noich is fouwE to fnass a vo lent coe}icient of dreebarge of 0 .625 . The importance of this analysis in the design of gas ehtsmbera ie emphmised .