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A ruler has markings, a straight edge does not. In "straight edge and compass" constructions, you are not allowed to mark the straight edge. Things that are impossible using only a straight edge and compass are possible if markings are allowed (for example, it's possible to trisect an angle using a marked straight edge).

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Q: What is the difference between a math straight edge and a math ruler?
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Related questions

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A ruler is a straight edge


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