# bezier_find_length: Solve for arclength In RobinHankin/knotR: Knot Diagrams using Bezier Curves

## Description

Finds the value of the Bezier parameter t that corresponds to a given arclength from the start of a Bezier curve

## Usage

 `1` ```bezier_find_length(P, len, from = 0, increasing = TRUE, give = FALSE, ...) ```

## Arguments

 `P` Control points in the form of a 4 by 2 matrix with rows corresponding to P_0 to P_3 `from` Point from which to start measuring arc length `len` Arc length `increasing` Boolean, with default `TRUE` meaning to measure length towards the end, and`FALSE` meaning to measure in the opposite direction `give` Boolean, with `TRUE` meaning to return details from `uniroot()` and default `FALSE` meaning to give just the position on the curve `...` Further arguments passed to `uniroot()`

## Details

The function just uses `uniroot()` to find the appropriate value of `tee`.

## Author(s)

Robin K. S. Hankin

`bezier_integral`
 ```1 2``` ```P <- matrix(c(1, 3, 6, 4, 7, 3, 2, 2),ncol=2) bezier_find_length(P,5) ```