From two bilingual inscriptions we know Etruscan netśvis, netśrac are respectively equivalent to Latin haruspex 'adivinator'1 and haruspīcina 'adivination'. This leaves us with an Etruscan word *netś-, *nethś- 'entrails', surely a loanword from Greek nēdús 'stomach, belly, womb'.
The etymology of the Greek word is itself problematic. I think this could be a Thracian loanword parallel to Lithuanian vidùs 'middle, interior' < IE *(d)ui-dhH1-u-, a compound from *(d)ui- '2' and *dheH1- 'to make, to put' whose Celtic and Germanic reflexes mean 'wood, forest, tree'2. This is also the origin of Latin dīvidō 'to divide' < *dis-widhH1-.
Etruscan visc- 'center', attested in visc ame ren-s '(this) is the center of the hand', could be explained from an derivated form *(d)ui-dhH1-sk-. This word was in turn borrowed into Latin vīscus, vīsceris 'entrails.
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1 Itself a compound from IE *g´hor- 'guts' and *(s)pek´- 'to look'.
2 This would imply forests were considered as a hinterland, an intermediate region between inhabited settlements. Interestingly, the Baltic reflexes of IE *medh-jo- 'middle' mean 'wood, forest, tree'.
2 This would imply forests were considered as a hinterland, an intermediate region between inhabited settlements. Interestingly, the Baltic reflexes of IE *medh-jo- 'middle' mean 'wood, forest, tree'.