DictionaryRoot: sinuare
Latin
sinuare
to wind, bend, curve
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verb
insinuate
in-SIN-yoo-ayt/ɪnˈsɪnjueɪt/
To suggest something indirectly, especially something unpleasant.
Etymology
“Winding into” became an image for subtly introducing something into the mind or heart. To insinuate is to slip a suggestion into someone's thinking rather than state it directly.