LOXODROMIC CURVE Meaning and
Definition
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A loxodromic curve is a mathematical term used to describe a specific type of curve on a surface, usually a sphere or a plane. The term "loxodromic" is derived from the Greek words "loxos" meaning "oblique" and "dromos" meaning "course" or "path."
In its simplest form, a loxodromic curve is a curve that crosses all meridians at a fixed angle, known as the "loxodromic angle." This means that as the curve progresses along the surface, it follows a constantly changing direction, forming a spiral-like pattern.
The most common example of a loxodromic curve is the rhumb line, also known as a loxodrome. The rhumb line is a path on the surface of a sphere that maintains a constant angle with all meridians, which makes it spiral around the surface in a non-concentric manner. This property of a loxodromic curve makes it particularly useful for navigational purposes, as it allows sailors or navigators to maintain a constant course by following the curve.
In addition to its navigational significance, loxodromic curves are also studied in differential geometry and complex analysis. They can be described mathematically using parametric equations or through the concept of complex logarithms. By their unique properties, loxodromic curves provide fascinating applications in various fields, such as cartography, navigation, and mathematics.
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A curve on the earth's surface which makes a constant angle or slant to the meridian; the path of a ship when her course is constantly directed towards the same point of the compass, in an oblique direction.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
Common Misspellings for LOXODROMIC CURVE
- loxodromic curvm
- loxodromic curva
- loxodromic curvg
- lowxodromiccurve
- l oxodromic curve
- lo xodromic curve
- lox odromic curve
- loxo dromic curve
- loxod romic curve
- loxodr omic curve
- loxodro mic curve
- loxodrom ic curve
- loxodromi c curve
- loxodromic c urve
- loxodromic cu rve
- loxodromic cur ve
- loxodromic curv e
Etymology of LOXODROMIC CURVE
The term "loxodromic curve" is derived from a combination of Greek words. "Loxos" means "oblique" or "slanting", while "dromos" means "course" or "track". "Loxodromic" can be related to the idea of a "slanting" or "oblique" course or path.
The concept of a loxodromic curve originates from navigation and cartography. It describes a curve on the surface of a sphere that intersects all meridians (lines of longitude) at the same angle. In navigation, a loxodromic curve represents a constant bearing or heading, making it a useful tool for maintaining a constant compass course.
