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 - Math of involute curves for mechanical gears
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 gear - Wikipedia
The involute gear profile is the most commonly used system for gearing today, with cycloid gearing still used for some specialties such as clocks. In an involute gear, the profiles of the teeth are involutes of a circle.
Involute Definition & Meaning - Merriam-Webster
The meaning of INVOLUTE is curled spirally. How to use involute in a sentence.
Involute -- from Wolfram MathWorld
2024年11月18日 · 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 Function Calculator
2024年7月15日 · The involute function is a function that takes as argument an angle — the pressure angle — and returns a value that corresponds to the width of the involute curve at that point. The formula for the involute function is φ = tan(α) − α.
Involute of the curves - Definition, Equation and Applications
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.
Evolute and Involute - math24.net
The set of all centers of curvature of the curve is called the evolute of the curve. If the curve is the evolute of the curve then the initial curve is called the involute of the curve. We denote the center of curvature by the point with coordinates If the curve is given in parametric form.
4.5: Involute Curves of Space Curves - Brown University
This simple demo allows you to input a curve with its domain and will show its involute. Look at various helices and corresponding plane curves. Now, look at various other original curves. If a curve has a planar involute, is it true that it has to be a helix? We look at the involute of a helix.
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.