▁them ▁near ▁the ▁lake ▁and ▁en velop ed ▁them ▁in ▁a ▁drawn ▁out ▁inf antry ▁b raw l . ▁Both ▁sides ▁fought ▁each ▁other ▁to ▁the ▁death , ▁and ▁the ▁res erv ists ▁of ▁both ▁sides ▁were ▁called ▁up . ▁More ▁heavy ▁fighting ▁continued ▁throughout ▁the ▁day . ▁By ▁the ▁afternoon ▁both ▁sides ▁ran ▁out ▁of ▁res erves , ▁so ▁they ▁could ▁not ▁change ▁their ▁exha usted ▁troops . ▁The ▁Roman ▁caval ry ▁was ▁ordered ▁to ▁dis mount ▁and ▁charged ▁the ▁E tr usc ans , ▁routing ▁their ▁tired ▁and ▁batter ed ▁inf antry . ▁By ▁the ▁end ▁of ▁the ▁day ▁the ▁E tr usc ans ▁were ▁w ip ed ▁out , ▁and ▁Roman ▁military ▁power ▁in ▁the ▁area ▁was ▁assured . ▁▁ ▁See ▁also ▁the ▁second ▁Battle ▁of ▁Lake ▁V ad imo ▁( 2 8 3 ▁BC ). ▁ ▁External ▁links ▁ ▁Add itional ▁information ▁ ▁References ▁ ▁Lake ▁V ad imo ▁( 3 1 0 ▁BC ) ▁Category : 4 th ▁century ▁BC ▁in ▁the ▁Roman ▁Republic ▁Lake ▁V ad imo ▁- 3 1 0 ▁Category : 3 1 0 ▁BC ▁Lake ▁V ad imo ▁Lake ▁V ad imo ▁ 3 1 0 <0x0A> </s> ▁For ▁other ▁persons ▁named ▁Charles ▁B ren ner , ▁see ▁Charles ▁B ren ner ▁( disambiguation ). ▁ ▁Charles ▁Hall am ▁B ren ner ▁is ▁an ▁American ▁math ematic ian ▁who ▁is ▁the ▁origin ator ▁of ▁for ens ic ▁mathematics . ▁His ▁father ▁Jo el ▁Lee ▁B ren ner ▁was ▁a ▁professor ▁of ▁mathematics ▁and ▁his