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Reword Theorem 1-3 as two statements, one describing the existence and the other describing uniqueness.

Short Answer

Expert verified

There will be at least one plane that will consist of the two lines which are intersecting.

The plane that will consist of the two intersecting lines will be unique.

Step by step solution

01

Step 1. Write the theorem 1-3.

There is exactly one plane that contains the two intersecting lines.

02

Step 2. Rewrite the Theorem 1-3 as the statement describing the existence.

There will be at least one plane that will consist of the two lines which are intersecting.

03

Step 3. Rewrite the Theorem 1-3 as the statement describing the uniqueness.

The plane that will consist of the two intersecting lines will be unique.

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