VERBS, MOODS OF:-- Infinitive used at the beginning of a sentence"To" frequently stands at the beginning of a sentence in the above indefinite signification. Thus Macb. iv. 2. 70, quoted above, and--
“To do this deed,
“To say to go with you, I cannot.” B. J. E. out &c. iv. 6.
“To know my deed, 'twere best not know myself.
“To belie him I will not.
“For of one grief grafted alone,
“Other of them may have crooked noscs, but to owe (as regards
owning) such straight arms, none.
To graft another thereupon,
A surer crab we can have none.” HEYWOOD. “To lack or lose that we would win
So that our fault is not therein,
What woe or want end or begin?” Ib.
where "to sue to live" means "as regards suing to live," and corresponds to "seeking death." This indefinite use of the infinitive in a gerundive sense seems to be a continuation of the old idiom which combined to with the gerund. Less frequently the clause depends on "that:"
“To sue to live, I find I seek to die,
And seeking death find life,
“But that I'll give my voice on Richard's side,
God knows I will not do it.