How Do You Spell TROCHOID?

Pronunciation: [tɹˈə͡ʊkɔ͡ɪd] (IPA)

Trochoid is a mathematical term that refers to a curve that is produced by a point on a moving circle. The spelling of this word can be somewhat tricky, but it is pronounced "trok-oid." The IPA phonetic transcription for this word is /ˈtrɑkɔɪd/. The first syllable is pronounced as "trok," with a vowel sound that is similar to the "a" in "talk." The second syllable is pronounced with a long "o" sound, as in "joy," and a voiced "d" at the end.

TROCHOID Meaning and Definition

1. Trochoid is a mathematical term that refers to a curve or path traced by a point on a circle as it rolls along a straight line. It is derived from the Greek word "trochos," meaning wheel, and "eidos," meaning form or shape. A trochoid can be described as a cycloid when the point is located on the rim of the circle, or as an epitrochoid or hypotrochoid when the point is inside or outside the rim, respectively.

   In a trochoidal motion, the radius of the rolling circle and the distance between the point and the straight line both play a crucial role in determining the shape of the curve. The trochoid exhibits a wide variety of shapes depending on these parameters. It can consist of loops, cusps, or even straight segments.

   Trochoids have been extensively studied in mathematics as they possess interesting geometric and physical properties. They find applications in various fields such as physics, engineering, and kinematics. In physics, the motion of electrons in a magnetic field can often be approximated by trochoidal paths. Engineers employ trochoidal gears to transmit motion smoothly and efficiently in machinery.

   Overall, the concept of trochoid describes the mathematical relationship between a point on a rolling circle and a straight line, leading to numerous practical and theoretical implications across different disciplines.

2. Revolving, rotating; noting a revolving or wheel-like articulation.

   A practical medical dictionary. By Stedman, Thomas Lathrop. Published 1920.

3. In geom., the curve described by any point in a wheel rolling on a straight line.

   Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.

Common Misspellings for TROCHOID

• trochlid
• trohcoid

Etymology of TROCHOID

The word "trochoid" derives from the combination of two Greek words: "trochos" meaning "wheel" or "rolling", and "eidos" meaning "form" or "shape". Thus, "trochoid" can be understood as a "wheel-like" or "roller-like" shape or form.

Plural form of TROCHOID is TROCHOIDS