Which preposition to use with superficie

of Occurrences 21%

Born in a hut built of mud and maize-stalks somewhere on the superficies of these limitless plains, he differs little, in the first two years of his existence, from peasant babies all the world over; but so soon as he can walk, he becomes an equestrian.

like Occurrences 1%

The edge was cut into 12 concave superficies like so many half-cylinders; on each of which was a dial showing the hour by the shade of a fleur-de-lis fixed at the top of each half-cylinder.

without Occurrences 1%

Mechanical separations are limited: "But the mind surmounts all power of concretion; and can place in the simplest manner every attribute by itself; convex without concave; colour without superficies; superficies without body; and body without its accidents: as distinctly each one, as though they had never been united.

Which preposition to use with  superficie