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A 1-dimensional interval (a, b) is continuous if for any k in (0, 1) the point a + k*(b-a) = a*(1-k) + k*b is also in the interval. This is equivalent to the statement that every point on the line joining a and b is in the interval. The above can be extended to more dimensions analogously.
You have given just a starting point or an ending point. You have to give two values in order to calculate the interval. You must also be clear if you are using a 24 hour clock or a 12 hour clock.
Ratio
A spherical surface, with its center at the given point, and its radius equal to the given distance.