单词 | corollary |
释义 | CorollaryA theorem that follows on from another theorem. Example: there is a Theorem that says: two angles that together form a straight line are "supplementary" (they add to 180°). A Corollary to this is the "Vertical Angle Theorem" that says: where two lines intersect, the angles opposite each other are equal (a=c and b=d in the diagram). Proof that a=c: Angles a and b are on a straight line, so: ⇒ angles a + b = 180° and so a = 180° − b Angles c and b are also on a straight line, so: ⇒ angles c + b = 180° and so c = 180° − b So angle a = angle c See: Theorem |
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