## The loxodrome and two projections of the sphere

### Examples

The loxodrome intersects all meridians at the same angle.

Loxodrome making an angle of amplitude -45º with the meridians.

Loxodrome making an angle of amplitude 0º with the meridians.

Loxodrome making an angle of amplitude 45º with the meridians.

Loxodrome making an angle of amplitude 90º with the meridians.

Notice that a loxodrome is not defined at the poles since the angle with the meridians is not defined at these points. In particular, a loxodrome with angle of amplitude 0 with the meridians is half a great circle and not a great circle.

Curves and a point

Curves and an angle

Meridians and parallels