Pursuit Curve

Cartesian equation:
y=cx2log(x)y = cx^{2} - \log(x)


If AA moves along a known curve then PP describes a pursuit curve if PP is always directed towards AA and AA and PP move with uniform velocities. These were considered in general by the French scientist Pierre Bouguer in 1732.

The case here is where AA is on a straight line and was studied by Arthur Bernhart.

Pierre Bouguer was a French scientist who was the first to attempt to measure the density of the Earth using the deflection of a plumb line due to the attraction of a mountain. He made measurements in Peru in 1740. A more successful use of this method by the astronomer Maskelyne placed the density between 4.5 and 5.