▁B acia ▁dos ▁Fr ades ▁Environment al ▁Prote ction ▁Area ▁and ▁the ▁Tr ês ▁P icos ▁State ▁Park . ▁ ▁Notes ▁ ▁S ources ▁ ▁Category : Environment al ▁protection ▁areas ▁of ▁Brazil ▁Category : Pro te cted ▁areas ▁of ▁Rio ▁de ▁Janeiro ▁( state ) ▁Category : 1 9 8 5 ▁establish ments ▁in ▁Brazil ▁Category : 2 0 1 3 ▁dis est ab lish ments ▁in ▁Brazil ▁Category : Pro te cted ▁areas ▁established ▁in ▁ 1 9 8 5 <0x0A> </s> ▁In ▁mathematics , ▁point - free ▁geometry ▁is ▁a ▁geometry ▁whose ▁primitive ▁ont ological ▁notion ▁is ▁region ▁rather ▁than ▁point . ▁Two ▁ax iom atic ▁systems ▁are ▁set ▁out ▁below , ▁one ▁ground ed ▁in ▁mere ology , ▁the ▁other ▁in ▁mere ot op ology ▁and ▁known ▁as ▁connection ▁theory . ▁A ▁point ▁can ▁mark ▁a ▁space ▁or ▁objects . ▁ ▁Mot iv ation ▁Point - free ▁geometry ▁was ▁first ▁form ulated ▁in ▁White head ▁( 1 9 1 9 , ▁ 1 9 2 0 ), ▁not ▁as ▁a ▁theory ▁of ▁geometry ▁or ▁of ▁spac etime , ▁but ▁of ▁" events " ▁and ▁of ▁an ▁" extension ▁relation " ▁between ▁events . ▁White head ' s ▁purposes ▁were ▁as ▁much ▁philosoph ical ▁as ▁scientific ▁and ▁mathematical . ▁ ▁White head ▁did ▁not ▁set ▁out ▁his ▁theories ▁in ▁a ▁manner ▁that ▁would ▁satisfy ▁present - day ▁can ons ▁of ▁form ality . ▁The ▁two ▁formal ▁first ▁order ▁theories ▁described ▁in ▁this ▁entry ▁were ▁de vised ▁by ▁others ▁in ▁order