Which preposition to use with dependance

on Occurrences 12%

They are written with great purity and correctness, without any forced expressions, affected phrases, or unnatural sentiments; and show uncommon clearness of understanding, tenderness of affection, and rectitude of intention; but discover, at the same time, a temper timorous, anxious, and impatient of misfortune; a tendency to burst into complaints, helpless dependance on the affection of others, and a weak desire of moving compassion.

of Occurrences 3%

Martius justly remarks that the great dependance of savage women makes them eager to please their husbands (121); and this eagerness would naturally be doubled by making widowhood forbidding.

without Occurrences 1%

Thus I was thrown upon dependance without resource.

Which preposition to use with  dependance