INTRODUCTION TO EUCLID’S GEOMETRY

Gap-fill exercise

  
Fill in all the gaps, then press "Check" to check your answers. Use the "Hint" button to get a free letter if an answer is giving you trouble. You can also click on the "[?]" button to get a clue. Note that you will lose points if you ask for hints or clues!
A solid has shape, size, position, and can be moved from one place to another. Its boundaries are called .

The boundaries of the surfaces are or straight lines.

Consider the three steps from solids to points (solids-surfaces-lines-points). In each step we lose one extension, also called a .

A is that which has no part.

A line is breadthless .

The ends of a are points.

A is a line which lies evenly with the points on itself.

A is that which has length and breadth only.

The edges of a surface are .

A surface is a surface which lies evenly with the straight lines on itself.

A system of axioms is called .

The statements that were proved are called .

A may be drawn from any one point to any other point.

A terminated line can be produced .

All right are equal to one another.

A can be drawn with any centre and any radius.

Two cannot have more than one point in common.

Two distinct cannot be parallel to the same line.