r_curve = [7*cos(t), 4*sin(t)] = [7*sqrt(2)/2, 2*sqrt(2)] at t=pi/4
T = [-7*sin(t)/sqrt(49*sin(t)**2 + 16*cos(t)**2), 4*cos(t)/sqrt(49*sin(t)**2 + 16*cos(t)**2)] = [-7*sqrt(65)/65, 4*sqrt(65)/65] at t=pi/4
T' = [-7*cos(t)/sqrt(49*sin(t)**2 + 16*cos(t)**2) + 231*sin(t)**2*cos(t)/(49*sin(t)**2 + 16*cos(t)**2)**(3/2), -4*sin(t)/sqrt(49*sin(t)**2 + 16*cos(t)**2) - 132*sin(t)*cos(t)**2/(49*sin(t)**2 + 16*cos(t)**2)**(3/2)] = [-224*sqrt(65)/4225, -392*sqrt(65)/4225] at t=pi/4
N = [-4*sqrt(65)/65, -7*sqrt(65)/65] at t=pi/4
R = 65*sqrt(130)/112 at t=pi/4
r_circle = [-3.28299576979468*sin(t) - 5.7452425971407*cos(t) + 1.66675169851115, -5.7452425971407*sin(t) + 3.28299576979468*cos(t) - 2.91681547239451]

r_curve = [7*cos(t), 4*sin(t), t] = [7*sqrt(2)/2, 2*sqrt(2), pi/4] at t=pi/4
T = [-7*sin(t)/sqrt(49*sin(t)**2 + 16*cos(t)**2 + 1), 4*cos(t)/sqrt(49*sin(t)**2 + 16*cos(t)**2 + 1), 1/sqrt(49*sin(t)**2 + 16*cos(t)**2 + 1)] = [-7*sqrt(67)/67, 4*sqrt(67)/67, sqrt(134)/67] at t=pi/4
T' = [-7*cos(t)/sqrt(49*sin(t)**2 + 16*cos(t)**2 + 1) + 231*sin(t)**2*cos(t)/(49*sin(t)**2 + 16*cos(t)**2 + 1)**(3/2), -4*sin(t)/sqrt(49*sin(t)**2 + 16*cos(t)**2 + 1) - 132*sin(t)*cos(t)**2/(49*sin(t)**2 + 16*cos(t)**2 + 1)**(3/2), -33*sin(t)*cos(t)/(49*sin(t)**2 + 16*cos(t)**2 + 1)**(3/2)] = [-238*sqrt(67)/4489, -400*sqrt(67)/4489, -33*sqrt(134)/4489] at t=pi/4
N = [-119*sqrt(218822)/109411, -200*sqrt(218822)/109411, -33*sqrt(109411)/109411] at t=pi/4
R = 67*sqrt(109411)/3266 at t=pi/4
r_circle = [-3.45239581530946*sin(t) - 5.80296237458781*cos(t) + 1.49735165299638, -5.80234590808312*sin(t) + 3.31597849976446*cos(t) - 2.97391878333693, -0.676974892835273*sin(t) + 1.17237544172612*cos(t) + 0.108423270562176]

