Webster's English Dictionary

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cudgel

1. cud.gel \'k*j-*l\ n [ME kuggel, fr. OE cycgel; akin to MHG kugele ball, 
   OE cot] den - more at COT : a short heavy club 
2. cudgel \-(*-)lin\ vt or cud.geled or cud.gelled;  or cud.gel.ing;  or 
   cud.gel.ling : to beat with or as if with a cudgel  : to think hard (as for 
   a solution to a problem)  - cudgel one's brains