Hyperbola 6Given both asymptotes (asymptote1 and asymptote2) and a line tangent to the curve, construct the hyperbola and the point of tangency.  Construct points A and B where the tangent line intersects asymptote1 and asymptote2, respectively. Construct the midpoint of line segment AB.  That midpoint is the point of tangency (Conica (II, 3)). With that, the sketch now has both asymptotes and a point on curve, the given conditions of Hyperbola 5. Refer to that construction for the completion of this one. The websketch below has the completed construction. Drag the given objects to confirm it. |