Sorry, no online dictionaries contain the exact phrase non-closed curve.
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Reverse dictionary results:
1. arc
 2. arced
3. arch
4. bell
5. bend
6. bended
7. bends
8. bens
9. bow
10. catenary
 11. chart
12. curvature
13. curved
14. curves
15. curving
16. diagram
17. figure
18. graph
19. loop
20. shift
 21. sigmoid
22. sinuate
23. threshold
24. turn
25. turning
26. vanguard
27. abreast
28. amplitude
29. bight
30. cubic
 31. flowchart
32. gradient
33. inflect
34. laffer
35. learning
36. logarithmic
37. pitch
38. regression
39. abscissa
40. aec

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You can look up the words in the phrase individually using these links:   non-closed ?   curve ?
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