5.2 Euclid's Definitions: A Critical Analysis
Ask AISolved Examples
Step 1
A 'collection of points' implies a Set. A circle is also a collection of points. A sphere is a collection of points.
Step 2
To define a line, we need to specify the structure or order of these points (linearity, betweenness). This is why Euclid tried to describe 'straightness' rather than just composition.
Final Answer
It fails to distinguish a line from any other geometric figure composed of points.