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7 Cards in this Set
- Front
- Back
Unique Line Assumption:
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Through any two points, there is exactly one line.
Note: This doesn't apply to nodes or dots. |
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Dimension Assumption:
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Given a line in a plane, there exists a point in the plane not on that line. Given a plane in space, there exists a line or a point in space not on that plane.
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Number Line Assumption:
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Every line is a set of points that can be put into a one-to-one correspondence with real numbers, with any point on it corresponding to zero and any other point corresponding to one.
Note: This doesn't apply to nodes or dots. This was once called the Ruler Postulate. |
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Distance Assumption:
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On a number line, there is a unique distance between two points.
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If two points lie on a plane, the line containing them also lies on the plane.
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If two points lie on a plane, the line containing them also lies on the plane.
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Through three noncolinear points, there is exactly one plane.
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Through three noncolinear points, there is exactly one plane.
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If two different planes have a point in common, then their intersection is a line.
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If two different planes have a point in common, then their intersection is a line.
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