To show how to use (something).
Can you demonstrate the new tools for us?
To show the steps taken to create a logical argument or equation.
To participate in or organize a demonstration.
Those people outside are demonstrating against the election results.
Borrowed from Latin dēmonstrātus, the perfect passive participle of dēmonstrō (“to show, point at”), see -ate (verb-forming suffix). Cognate with French démontrer.
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