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x 2 = bt 2 , x$ = et 3 , abc 4= 0, the condition that it be a helix is precisely the condition that it be algebraically rectifiable. Since her proof is an application of the common differential geometry, the coordinates are rectangular. The parametrical equations of the most general twisted cubics in rectangular coordinates x, y, z, are where F, /i, f 2 , ƒ3 are polynomials of degree 3 in the parameter t. By increasing t by a constant, and taking the axes along the tangent, the principaldoi:10.1090/s0002-9904-1919-03256-x fatcat:cq6idihoxjgsbg4tk6y7youmx4