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by some chance; perhaps.
“we dare not go ashore lest perchance we should fall into some snare”
synonyms: by chance, by any chance, by some chance, as it may be, as it may happen, as things may turn out
“if perchance he arrives on time”
maybe, perhaps, possibly, for all one knows, it could be (that), it is possible (that), conceivably;
literaryperadventure, mayhap, haply;
“perchance the outlook is not as bleak as she imagines”
Middle English: from Old French par cheance ‘by chance’.