Euclid Book One - Definitions, Postulates, Common Notions

1. A _____ is that which has no part

2. A _____ is breadth-less length

3. The extremities of a line are ____

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

5. A _____ is that which has length and breadth only

6. The extremities of a surface are _____

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

8. A __ ___ is the inclination to one another of two lines in a plane which meet one another and do not lie in a straight line

9. When lines containing a plane angle are straight, the angle is called _____

10. When a straight line set up on a straight line makes the adjacent angles equal to one another, each of the angles is ____, and the straight line standing on the other is called ____ to that on which it stands.

11. An ___ angle is an angle greater than a right angle

12. An __ is an angle less than a right angle

13. A _____ is that which is an extremity of anything

14. A _____ is that which is contained by any boundary or boundaries

15/16. A _____ is a plane figure contained by one line such that all the straight lines falling upon it from one point among those lying within the figure are equal to one another / and that point is called the ___ of the circle.

17. A _____ of the circle is any straight line drawn through the centre and terminated in both directions by the circumference of the circle, and such a straight line also bisects a circle

18. A _____ is the figure contained by the diameter and the circumference cut off by it; the centre is the same as that of the circle

19. __ __ are those which are contained by straight lines, __ being those contained by three, __ those contained by four, and __ those contained by more than four straight lines

20. Of trilateral figures, the __ __ is that which has its three sides equal; an __ has two of its sides alone equal, and a __ that which has its three sides unequal

21. Of trilateral figures, a __ __ ___ is that which has a right angle; and so forth for obtuse, and acute.

22. Of quadrilateral figures, a ___ is both equilateral and right-angled, an __ is right angled, but not equilateral; a __ is equilateral but not right angled, and a __ has its opposite sides and angles equal, but is not equilateral or right-angled. Other quadrilaterals are called ___..

23. ___ __ are straight lines which, being in the same plane and produced indefinitely in both directions, do not meet one another in either direction

To draw a straight line from any point to any point

To produce a finite straight line continuously in a straight line

To describe a circle with any centre and distance

All right angles are equal to one another

If a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the straight lines, if produced indefinitely, meet on that side.

Things which are equal to the same thing are equal to one another

If equals be added to equals, the wholes are equal

If equals be subtracted from equals, the remainders are equal

Things which coincide with one another are equal to one another

The whole is greater than the part