Passage: The mathematical basis for Bézier curves—the Bernstein polynomial—had been known since 1912, but the polynomials were not applied to graphics until some 50 years later, when they were widely publicised by the French engineer Pierre Bézier, who used them to design automobile bodies at Renault.  The study of these curves was however first developed in 1959 by mathematician Paul de Casteljau using de Casteljau's algorithm, a numerically stable method to evaluate Bézier curves at Citroën, another French automaker.

Question: which year was the mathematical basis for Bezier curves first known?
1912