Pronunciation: [kənt͡ʃˈɔ͡ɪd] (IPA) 
The word "conchoid" is spelled with the phonemes /kɒŋkɔɪd/. The first sound, /k/, is a voiceless velar plosive followed by the vowel /ɒ/ which is an open back rounded vowel. The second and third sounds, /ŋ/ and /k/, are both velar sounds. The fourth sound, /ɔɪ/, is a diphthong that begins with an open-mid back rounded vowel /ɔ/ and ends with a near-close near-front rounded vowel /ɪ/. The final sound, /d/, is a voiced alveolar stop.
Conchoid is a mathematical curve that is formed by the motion of a point on a line as it is made to move along the circumference of a fixed circle while being subjected to the condition that its distance from a fixed point remains constant. The fixed point is known as the pole, and the constant distance is referred to as the distance of the conchoid.
The conchoid curve is characterized by its ability to generate various shapes, depending on the position of the pole, the distance of the conchoid, and the size of the fixed circle. In its simplest form, the conchoid resembles a slight curve or loop that branches from the original line tangent to the circle. However, in more complex configurations, the curve can take on more intricate shapes such as spirals, loops, or even self-intersecting curves.
Conchoids have been extensively studied in mathematics and geometry due to their interesting geometric properties. They have applications in multiple fields, including optics, mechanics, and architecture. Additionally, conchoids can be used to solve certain mathematical problems, such as constructing polygons and finding intersections of curves.
Overall, the conchoid is a versatile mathematical curve that allows for the generation of diverse shapes based on the motion of a point along a circle while maintaining a constant distance from a fixed point. Its properties and applications make it a significant concept in the realm of geometry and mathematics.
A mathematical curve of a shell-like form.
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
The word "conchoid" derives from the Greek word "konchoē", which means "limb" or "curve". The term was first introduced in mathematics by the Greek mathematician Nicomedes around the 3rd century BCE. He used the conchoid curve to solve geometric problems, particularly in constructions involving angles and lengths. Over time, the term "conchoid" became the standard name for this type of curve in mathematics.
