Present participle of garrote; the act of strangling someone using a garrote.
From garrote + -ing (present participle suffix). This gerund form emerged in English as garroting crimes became commonly discussed in legal and journalistic contexts.
The -ing form made garroting a noun describing the crime itself—19th-century crime reports would speak of 'a garroting' the way we might say 'a robbery,' transforming a method into a category of felony.
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