2018年1月31日 · In fact, equation (4) defines a double Archimedean spiral (changing $(x,y)$ into $(-x,-y)$ doesn't change this equation). See picture below where the red curve is the …

Placing points equidistantly along an Archimedean spiral from parametric equations. 0.

2019年1月10日 · Find the area of region inside the "first loop" of the Archimedes spiral (that is, the spiral for $0 \le ...

And I think the post above mine was trying to find the total arc length, instead of arc length parameterisation of the path (Archimedean spiral). You could use polar coordinate or …

Archimedean spiral and length. 1. Equivalent conditions to spiral curves. 0. Solving algoritm spiral (in ...

2014年12月23日 · A typical point on the curve is $(x,y)=((a+b\theta)\cos\theta,(a+b\theta)\sin\theta)$. By the product rule, we have \begin{align} …

$\begingroup$ It would be nice if you could supply a formula for an Archimedean spiral. You might like to change the question tag: arc-length is very much differential geometry, it requires …

To place objects equidistantly on an Archimedean (arithmetic) spiral, the arc length of the spiral has to increase linearly between the objects. This is what I have so far: The length of a spiral …

2017年6月25日 · I've already looked at some of answers to similar questions - there's this one, where the formula proposed in the question is already far beyond my understanding; and this …

2021年2月7日 · I have an archimedean spiral, and know these points: angle and distance from center of the beginning of the spiral, angle and distance from center of the end of the spiral. I …