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# Given two points p < sub > 1 </ sub > and p < sub > 2 </ sub >, there is a unique fold that passes through both of them.

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# Given two points p < sub > 1 </ sub > and p < sub > 2 </ sub >, there is a unique fold that places p < sub > 1 </ sub > onto p < sub > 2 </ sub >.

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# Given two points p < sub > 1 </ sub > and p < sub > 2 </ sub > and a line l < sub > 1 </ sub >, there is a fold that places p < sub > 1 </ sub > onto l < sub > 1 </ sub > and passes through p < sub > 2 </ sub >.

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# Given two points p < sub > 1 </ sub > and p < sub > 2 </ sub > and two lines l < sub > 1 </ sub > and l < sub > 2 </ sub >, there is a fold that places p < sub > 1 </ sub > onto l < sub > 1 </ sub > and p < sub > 2 </ sub > onto l < sub > 2 </ sub >.

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