The term "loxodromic curves" is pronounced /lɒksəʊˈdrɒmɪk kɜːvz/ and refers to a type of navigational curves that cut obliquely across meridians on a projected map. The spelling of this word is based on the Greek term 'loxos' meaning slanting or oblique, and 'dromos' meaning a course or way. The combination forms the word "loxodromic" which describes a line or a course that proceeds obliquely to the meridians. The spelling of the word is complex, but its meaning is important in the field of navigation and cartography.
Loxodromic curves are defined as a type of curve on a surface, particularly on a sphere or on a pseudosphere. These curves are characterized by maintaining a constant angle with respect to a fixed line as they traverse the surface.
In simpler terms, loxodromic curves are paths on a curved surface that are reminiscent of the concept of a straight line on a flat plane. However, unlike straight lines, they do not follow the shortest distance between two points. Instead, they maintain a steady angle with respect to a reference line, commonly known as a rhumb line or loxodrome, as they progress along the surface.
The concept of loxodromic curves is often employed in navigation or map projections. This is because loxodromic curves allow for maintaining a fixed compass course, making them useful for sailing or directional purposes. In a geographical context, loxodromes are typically represented as curved lines on a map, as they cross meridians at a constant angle.
The term "loxodromic" is derived from the Greek words "loxos," meaning oblique or slanting, and "dromos," meaning path or course. This accurately reflects the nature of these curves as they follow a course that is not straight but instead maintains a fixed slant or angle.
The term "loxodromic curves" originates from the combination of two Greek words: "loxos" (λοξός), meaning "oblique" or "slanting", and "dromos" (δρόμος), meaning "course" or "path". The word "loxodromic" was first used in the field of mathematics to describe a type of curve that maintains a constant angle with respect to a given reference frame. This concept is particularly relevant in navigation and cartography, as loxodromic curves follow a path of constant bearing, often resulting in a spiral-like shape on a map or globe.