Geodesical, pronounced dʒiːəʊˈdɛsɪkəl, is an adjective that refers to anything related to geodesy, which is the science of measuring the size and shape of the Earth. The spelling of "geodesical" is derived from the base word "geodesy" (dʒiːˈɒdəsi), which itself comes from the Greek words "geo" meaning Earth, and "daisys" meaning division or measurement. Therefore, when spelling out "geodesical," it is essential to remember that the "dai" sound is pronounced as "dee" in English, resulting in a long e sound.
Geodesical, also known as geodesic, is an adjective commonly used in mathematics and geometry to describe a specific type of curve or surface that follows the shortest distance between two given points. The term is derived from the word "geodesic" which refers to the study of these curves and surfaces. Geodesical objects are characterized by being the most efficient path between points within a given space.
In three-dimensional space, a geodesic refers to the shortest path connecting two points on a curved surface or along a curved line. Geodesical curves possess the property that the tangent to the curve always lies in the same plane as the curve at any given point. Similarly, geodesical surfaces are those that can be immersed in a three-dimensional space without any distortion or bending.
Geodesics play a significant role in various fields including mathematics, physics, and engineering. For instance, in the field of architecture, geodesic domes, which are made up of numerous interconnected geometric shapes, are used due to their structural stability and efficient use of materials. Additionally, geodesics have applications in navigation, where they are essential for determining the shortest routes between two points on the Earth's surface.
In summary, geodesical or geodesic refers to the shortest path or curve between two points on a curved surface or along a curved line. It is a term widely used in mathematics and various scientific disciplines to describe the most efficient routes or shapes.
Pert. to the art of measuring large portions of the earth's surface, ascertaining its figure, &c.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
The word "geodesical" is derived from the noun "geodesy" combined with the suffix "-ical". "Geodesy" comes from the Greek words "geo" meaning "earth" and "daiein" meaning "divide, distribute", forming "geodaisia" which originally referred to the methodology and science of surveying and measuring the Earth's surface. The suffix "-ical" is a typical suffix used to transform a noun into an adjective, indicating that the word is related to or derived from the noun. Therefore, "geodesical" means "relating to or derived from geodesy".