adverbial participle vs infinitive

adverbial participle

noun
  • A participle that modifies a verb in same sentence and which is equivalent to an adverbial clause in English. Adverbial participles may denote time, condition, cause, concession, manner, means, purpose, or attendant circumstance. 

infinitive

noun
  • A non-finite verb form considered neutral with respect to inflection; depending on language variously found used with auxiliary verbs, in subordinate clauses, or acting as a gerund, and often as the dictionary form. 

  • The infinitive mood or mode (a grammatical mood). 

  • A verbal noun formed from the infinitive of a verb. 

adj
  • Unlimited; not bounded or restricted; undefined. 

  • Formed with the infinitive. 

How often have the words adverbial participle and infinitive occurred in a corpus of books? (source: Google Ngram Viewer )