Why would curved or rounded lines make it difficult for sailors to accurately draw straightline compass courses on maps?

Curved or rounded lines can complicate a sailor's ability to draw straight compass courses on maps because they may distort the representation of direction and distance. On a flat map, the curvature can lead to inaccuracies in interpreting the true heading, as the shortest path between two points on a sphere is a great circle route, which is not represented as a straight line. This can result in navigational errors, potentially causing sailors to veer off their intended course. Additionally, the mental adjustment required to translate curved paths into straight lines can further complicate navigation.