| 11. | The circle itself is one-dimensional and can be characterized by its arc length.
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| 12. | The arc length is kept constant by using the principle of a self-adjusting arc.
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| 13. | Also, the perimeter of the base will be the arc length of the outer cut.
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| 14. | This implies that no curve can have an arc length less than the distance between its endpoints.
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| 15. | The arc length of the circle would result from setting 1 } } and 0 } }.
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| 16. | Guo worked on spherical trigonometry, using a system of approximation to find arc lengths and angles.
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| 17. | First, the arc length approaches the length of the segment connecting radius 1 and radius 2.
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| 18. | In " n "-dimensional general curvilinear coordinates, the square of arc length is:
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| 19. | The arc length of the curve is the same regardless of the parameterization used to define the curve:
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| 20. | The arc length of a curve on the surface and the surface area can be found using integration.
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