Inverse of a Theorem

the theorem obtained when the hypothesis and conclusion of a given initial theorem are replaced by their negations. For example, the theorem “If the sum of the opposite angles of a quadrangle is equal to 180°, a circle can be circumscribed about the quadrangle” has the inverse “If the sum of the opposite angles of a quadrangle is not equal to 180°, a circle cannot be circumscribed about the quadrangle.” The inverse of a theorem is equivalent to the theorem’s converse.

单词	inverse of a theorem
释义	Inverse of a Theorem Inverse of a Theorem the theorem obtained when the hypothesis and conclusion of a given initial theorem are replaced by their negations. For example, the theorem “If the sum of the opposite angles of a quadrangle is equal to 180°, a circle can be circumscribed about the quadrangle” has the inverse “If the sum of the opposite angles of a quadrangle is not equal to 180°, a circle cannot be circumscribed about the quadrangle.” The inverse of a theorem is equivalent to the theorem’s converse.
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