Практическая грамматика

It being now pretty late, we took our candles and went up-
stairs. (Dickens)
Так как было довольно поздно, мы взяли свечи и пошли наверх.
с) of attendant circumstances.
In this function the Nominative Absolute Participial Construction is mostly placed at the end of the sentence. In rendering it in Russian a coordinate clause оr деепричастный оборот is used.
Andrew lay with closed eyes, his head resting near her. (Cronin)
Эндрю лежал с закрытыми глазами, голова его покоилась рядом с нею.
d) of condition (rare).
In this function the Nominative Absolute Participial Construction is almost exclusively used with the participles permitting and failing,
Weather (time, circumstances) permitting, we shall start tomorrow. Если погода (время, обстоятельства) позволит, мы поедем завтра.
Conciliation failing, force remains; but force failing, no further hope of conciliation is left.
Если не удается достигнуть примирения, приходится применить силу; но если сила не помогает, не остается никакой надежды на примирение.
The Nominative Absolute Participial Construction very often occurs in fiction and scientific literature; the use of this construction in colloquial English is rare.
§ 13. The Prepositional Absolute Participial Construction. The Absolute Participial Construction may be introduced by the preposition with and is then called the Prepositional Absolute Participial Construction. It is in most cases used in the function of an adverbial modifier of attendant circumstances.
This construction is rendered in Russian by a coordinate clause or деепричастный оборот.
They were walking on again, with Hugh calmly drawing at his pipe. (Lindsay)
Они снова шли вперед; Хью спокойно покуривал свою трубку.
The daughter sat quite silent and still, with her eyes fixed on the ground. (Dickens)
Дочь сидела молча и неподвижно, опустив глаза в землю.