(A Surface with K ≡-1 ; the Pseudosphere. sa Determine an equation for the plane curve C, which is such that the segment of the tangent line between the point of tangency and some line r in the plane, which does not meet the curve, is constantly equal to 1 (this curve is called the tractrix; see Fig. 1 -9). b. Rotate the tractrix C about the line r ; determine if the "surface" of revolution thus obtained (the pseudosphere; see Fig. 3-22 ) is regular and find out a parametrization in a neighborho