▁on ▁the ▁south ▁face ▁of ▁the ▁mountain . ▁ ▁On ▁H ight ower ▁Bald ' s ▁northern ▁s lop es ▁are ▁two ▁border ▁features : ▁Mont gom ery ' s ▁Cor ner ▁and ▁the ▁ 3 0 ▁M ile ▁Post . ▁Between ▁these ▁two ▁points , ▁the ▁North ▁Carolina - Ge org ia ▁border ▁runs ▁in ▁a ▁north - s outh ▁direction ▁for ▁about ▁ ▁instead ▁of ▁its ▁usual ▁east - west ▁direction . ▁These ▁border ▁features ▁were ▁the ▁results ▁of ▁two ▁surve ying ▁exped itions ▁conducted ▁in ▁the ▁early ▁ 1 9 th ▁century . ▁When ▁Tennessee ▁became ▁a ▁state ▁in ▁ 1 7 9 6 , ▁Congress ▁designated ▁Georgia ' s ▁northern ▁boundaries ▁as ▁the ▁ 3 5 th ▁parallel ▁north . ▁In ▁ 1 8 1 8 , ▁math ematic ian ▁James ▁Cam ak ▁incorrectly ▁calculated ▁the ▁ 3 5 th ▁parallel ▁north ▁as ▁being ▁located ▁south ▁of ▁Nick aj ack ▁Lake . ▁Cam ak ▁and ▁his ▁survey ▁team ▁then ▁proceeded ▁to ▁mark ▁Georgia ' s ▁northern ▁border ▁ ▁east , ▁stopping ▁about ▁ ▁north ▁of ▁H ight ower ▁Bald ' s ▁sum mit . ▁ ▁In ▁ 1 8 1 9 , ▁Cam ak ▁conducted ▁another ▁survey ▁of ▁Georgia ' s ▁northern ▁border , ▁this ▁time ▁starting ▁from ▁El lic ott ' s ▁Rock ▁and ▁surve ying ▁west ward . ▁After ▁mark ing ▁for ▁, ▁Cam ak ' s ▁group ▁reached ▁H ight ower ▁Bald ' s ▁northern ▁s lop es . ▁When ▁they ▁got ▁there , ▁they ▁noticed