As an example of his method, he determined the arc length of a semicubical parabola, which required finding the area under a parabola.
42.
The discrepancy of 1 second meridian arc length between equator and pole is about 0.3 metres because the earth is an oblate spheroid.
43.
For a given arc length, the curve can change arbitarily so there will be not a good definition of angle via the arc length.
44.
For a given arc length, the curve can change arbitarily so there will be not a good definition of angle via the arc length.
45.
A related result is the analyst's traveling salesman theorem, describing the point sets that form subsets of curves of finite arc length.
46.
It is the area between two rays and a hyperbola, rather than the arc length between two rays measure along an arc a circle .)
47.
The water usually has to wash across not only the arc length of the lamp, but across the electrode portion of the glass as well.
48.
If the arc length decreases, arc voltage will increase, arc current and therefore burn-off rate will increase thereby causing the arc to lengthen.
49.
It uses only the arc length formula, expression for the area of a plane region from Green's theorem, and the Cauchy Schwarz inequality.
50.
Geometrically they can be lengths along straight lines, or arc lengths along curves, or angles; not necessarily Cartesian coordinates or other standard orthogonal coordinates.
