Proposition I.3
Construct equal segments by section
Given two unequal straight lines, to cut off from the greater a straight line equal to the less.
Given two unequal straight lines, to cut off from the greater a straight line equal to the less.
To place at a given point (as an extremity) a straight line equal to a given straight line.
That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
To produce a finite straight line continuously in a straight line.
To draw a straight line from any point to any point.
Parallel straight lines are straight lines which, being in the same plane and being produced indefinitely in both directions, do not meet one another in either direction.
And when the lines containing the angle are straight, the angle is called
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