*dā-, Proto-Indo-European root meaning "to divide."
It forms all or part of: betide; daimon; Damocles; deal (v.); deal (n.1) "part, portion;" demagogue; demiurge; democracy; demography; demon; demotic; dole; endemic; epidemic; eudaemonic; geodesic; geodesy; ordeal; pandemic; pandemonium; tidal; tide (n.) "rise and fall of the sea;" tidings; tidy; time; zeitgeist.
It is the hypothetical source of/evidence for its existence is provided by: Sanskrit dati "cuts, divides;" Greek dēmos "people, land," perhaps literally "division of society," daiesthai "to divide;" Old Irish dam "troop, company;" Old English tid "point or portion of time," German Zeit "time."
*pā-, Proto-Indo-European root meaning "to protect, feed."
It forms all or part of: antipasto; appanage; bannock; bezoar; companion; company; feed; fodder; food; forage; foray; foster; fur; furrier; impanate; pabulum; panatela; panic (n.2) "type of grass;" pannier; panocha; pantry; pastern; pastor; pasture; pester; repast; satrap.
It is the hypothetical source of/evidence for its existence is provided by: Greek pateisthai "to feed;" Latin pabulum "food, fodder," panis "bread," pasci "to feed," pascare "to graze, pasture, feed," pastor "shepherd," literally "feeder;" Avestan pitu- "food;" Old Church Slavonic pasti "feed cattle, pasture;" Russian pishcha "food;" Old English foda, Gothic fodeins "food, nourishment."