A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is `application/pdf`

.

##
###
On the rectifiability of a twisted cubic

1919
*
Bulletin of the American Mathematical Society
*

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 principal

doi:10.1090/s0002-9904-1919-03256-x
fatcat:cq6idihoxjgsbg4tk6y7youmx4