Euclid's Geometry

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Across
  1. 3. A surface which lies evenly with the straight lines on itself
  2. 4. If the first thing is greater than the second and second is greater than the third then the first is ...... than the third
  3. 6. A breadthless length
  4. 8. Assumptions which are specififc to geometry
  5. 9. Assumptions used all throughout mathematics and not specifically linked to geometry
Down
  1. 1. Things which are double of the same thing are ..... to one another
  2. 2. The ...... is greater than the part
  3. 3. For every line l and for every point P not lying on l, there exists a unique line m passing through p and ...... to l
  4. 5. Statements that areproved by applying deductive reasoning.
  5. 7. Two distinct lines may or may not have a common ...... and if they do have a common ..... it is exactly one