To show clearly that something is true or works, often by giving proof or an example. It can also mean to take part in a public protest to show support or opposition.
From Latin *demonstrare* meaning 'to point out, to show clearly', from *de-* ('completely') and *monstrare* ('to show'). The root is related to 'monster', originally meaning a sign or warning shown to people.
When you demonstrate a science experiment, you’re 'showing completely' how something works; when you demonstrate in the streets, you’re 'showing completely' what you believe. The same core idea—making something visible—is behind both meanings.
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