Which preposition to use with flimsiness

of Occurrences 5%

As we rounded the Battery and sped swiftly up the East River, the noblest avenue of New York, lined with the true palaces of her merchant-princes,an avenue which by its solid and truthful architecture half atones for the flimsiness of its land structures,as we passed the ocean steamships lying at the "Hook," the sea-captains about me began to talk of the American triumphs of speed.

Which preposition to use with  flimsiness