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the points on an infinite number line that are numbered so that to every point there corresponds exactly one real number, and to every real number there corresponds exactly one point.
the points on a line can be numbered so that positive number differences measure distances.
betweenness of points (definition)
a point is between two other points on the same line iff its coordinate is between their coordinates
the rays in a half-rotation can be numbered from 0 to 180 so that positive number distances measure angles
betweenness of rays (definition)
a ray is between two others in the same half-rotation iff its cordinate is between their coordinates
"coinciding exactly when superimposed"; divided into two equal parts (which are called this term) e.g. line segments are... when they have equal lengths, or angles are.. when they have equal measures
each angle of a complimentary angle to the other, found by subracting the other angle from 90
each angle of a supplimentary angle to the other, found by subtracting the other angle from 180
theorem of the angles in a linear pair being equal
if the angles in a linear pair are equal, then their sides are perpendicular
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