Meanings of elephantine way in English

In his own elephantine way he loved them, when few of them could figure it out.

Dick entered in his usual deliberate, elephantine way.

Hammon soothed his charmer in his clumsy, elephantine way, showing that, despite Merkle's recent insinuations, he still trusted her.

He asked himself whether he believed seriously these preposterous things, or whether he was amusing himself in an elephantine way at their expense.