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Longman Dictionary of Contemporary English
indirect speech
noun
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▪ Paraphrase and summary of the arguments of other texts correspond to indirect speech.
Wiktionary
indirect speech

n. reported speech

Wikipedia
Indirect speech

Indirect speech, also known as reported speech or indirect discourse, is a means of expressing the content of statements, questions or other utterances, without quoting them explicitly as is done in direct speech. For example, He said "I'm coming" is direct speech, whereas He said (that) he was coming is indirect speech. Indirect speech should not be confused with indirect speech acts.

In grammar, indirect speech often makes use of certain syntactic structures such as content clauses ("that" clauses, such as (that) he was coming), and sometimes infinitive phrases. References to questions in indirect speech frequently take the form of interrogative content clauses, also called indirect questions (such as whether he was coming).

In indirect speech certain grammatical categories are changed relative to the words of the original sentence. For example, person may change as a result of a change of speaker or listener (as I changes to he in the example above). In some languages, including English, the tense of verbs is often changed – this is often called sequence of tenses. Some languages have a change of mood: Latin switches from indicative to the infinitive (for statements) or the subjunctive (for questions).Allen, Joseph Henry; Greenough, James Bradstreet; D'Ooge, Benjamin Leonard. New Latin Grammar for schools and colleges. Ginn, 1916.

page 584, paragraph 580: declaratory sentences in indirect discourse; p. 380, par. 586: questions in indirect discourse.

When written, indirect speech is not normally enclosed in quotation marks or any similar typographical devices for indicating that a direct quotation is being made. However such devices are sometimes used to indicate that the indirect speech is a faithful quotation of someone's words (with additional devices such as square brackets and ellipses to indicate deviations or omissions from those words), as in He informed us that "after dinner [he] would like to make an announcement".

Usage examples of "indirect speech".

It was an indirect speech, but Bob suspected that the alien disagreed with their ideas.