“properties of” -> etymology of “property” -> “proper” -> “prōprius” and this where things get weird.
“From prō- + Proto-Italic *prijos, from Proto-Indo-European *priHós. Cognate with English free.
Others suggestions are:
for *prōprīvus, from prīvus or ultimately from this root.
for *prōpatrius, from prō- + pater, meaning “from one’s forefathers”, taking Ancient Greek προπάτωρ (propátōr, “forefather”) as comparison.”
So apparently there’s controversy. Is it from privus, where “private” came from? or “from one’s forefathers”?
Still, it’s the correct word.
adjective definition is:
1) own, individual
2) special, particular, characteristic
and 2) is the usage I’m looking for in “properties of”. Characteristics of things. What makes it special.