crossword

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Across
  1. 5. The statement is accepted as true without the need for proof
  2. 6. mathematical statement, the truth of which is established by proof
  3. 7. the branch of mathematics that studies spaces
  4. 9. numerical characterization of a two-dimensional geometric shape that shows the size of this shape
  5. 10. adding or subtracting this number will not change the result.
Down
  1. 1. the science of numbers, quantitative relations, and spatial forms
  2. 2. scientific assumption put forward to explain any phenomena and requiring verification, confirmation by experience
  3. 3. the branch of mathematics that studies numbers
  4. 4. you can perform various operations with them
  5. 8. numbers from 1 to infinity