Involute - Wikipedia In mathematics, an involute (also known as an evolvent) is a particular type of curve that is dependent on another shape or curve An involute of a curve is the locus of a point on a piece of taut string as the string is either unwrapped from or wrapped around the curve
Involute -- from Wolfram MathWorld Attach a string to a point on a curve Extend the string so that it is tangent to the curve at the point of attachment Then wind the string up, keeping it always taut The locus of points traced out by the end of the string is called the involute of the original curve, and the original curve is called the evolute of its involute
Involute - Math of involute curves for mechanical gears - Drivetrain Hub An involute, specifically a circle involute, is a geometric curve that can be described by the trace of unwrapping a taut string which is tangent to a circle, known as the base circle The circle involute has attributes that are critically important to the application of mechanical gears
Involute | Definition Geometry | Britannica involute, of a curve C, a curve that intersects all the tangents of the curve C at right angles To construct an involute of a curve C, use may be made of the so-called string property Let one end of a piece of string of fixed length be attached to a point P on the curve C and let the string be wrapped along C
Definition - BYJUS Involute or evolvent is the locus of the free end of this string The evolute of an involute of a curve is referred to that original curve In other words, the locus of the center of curvature of a curve is called evolute and the traced curve itself is known as the involute of its evolute
Involute Curve - EngineeringTechnology. org An involute curve is a specific type of curve that is defined by the rolling motion of a line that is tangent to a circle The curve is widely used in the design of gears because it provides a smooth, uniform meshing action between gears, which reduces noise and wear
Involute - definition of involute by The Free Dictionary 1 intricate; complex 2 curled or curved inward or spirally: a gear with involute teeth 3 rolled inward from the edge, as a leaf 4 (of shells) having the whorls closely wound n 5 Geom any curve of which a given curve is the evolute 6 to become involute 7 to return to a normal shape, size, or state
Notes on Involute - Unacademy An involute (also known as an evolvent) is a form of curve in mathematics that is dependent on another shape or curve The location of a point on a taut string as it is either unwrapped from or wrapped around a curve is called an involute of a curve