Measure tool - Measuring Distance Along Arc

Given the concept of making wood bendable via “living hinge” technique . . .

I would like to put tabs on an “arc” and have them line up accurately with the holes in the flexed piece of wood which I want to attach to to the piece with a curved (arc) edge.

I can measure the distance between the holes in a flat shape before it is flexed . . .

. . . but how do I measure along an arc so that the tabs will align with the holes?

I’m aware of the Lightburn measurement tool – and suspect that might be the answer – but, if this is the case, I don’t know how to apply the functionality of the measurement tool to this task . . . or if there is another way to approach this project.

image

Ideas?

I don’t have a particularly elegant way of doing it but here’s a thought:

  1. Break up the arc (or a duplicate of it) into sections between tabs
  2. Use the measurement tool to get the segment length for each section
  3. Use the measured segment length and match it to the linear distance of the straight living hinge

Looks like a good idea for Feature Suggestions

:smile_cat:

???

Arc Measure

How did you do that?

It seems to me like there ought to be some geometric wizardry, some function or algorithm having to do with secants, circumferences, degrees of the arc, percentage of the circle, which one could find by plugging in some numbers . . . but I never got that far in high school math. :face_with_raised_eyebrow:

LOL

https://www.expii.com/t/arc-length-between-two-points-of-a-curve-295

You only need to focus on segment length.

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@Rick referencing August '22 post on copy along path . . .

Does the “distance between” in the tool window refer to a straight-line distance, or the distance along the arc?

If I only wanted two tabs spaced 100 mm apart on the path (arc), could I use the technique described in that post to put the tabs anywhere on the path which I choose?

Can the copies along the path be “rotated” or moved in the same way as “Apply path to text”?

(I was assuming that you referenced that post for me as a solution to my question regarding measuring distance along arc.)

Haven’t ever applied to your application but here is link to an arc length calculator. Looks like knowing a couple of variables should get you there.

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@berainlb - So, to clarify for my dense gray matter . . .

I could

(1) Create an arc [circle],
(2) Convert to path
(3) Add nodes [“centered” where I want the tabs to be]
(4) and Use the Measurement Tool, taking note of the Segment Length?

I think that would do what I wanted it to do WITHOUT any calculus on my part, with kudos to the Lightburn engineers!

@Cumberland - COOL!

Using the calculator, I’m guessing that I could create a circle using the circle tool – knowing the LENGTH of the radius [which I would line up with the center of each tab on the arc] – measure the angle [theta] between the two radi – and plug in the numbers.

Does that sound right to you?

Yes. The only complexity comes in when you need to deal with more than a single segment length for the portion that you’re measuring.

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Sounds good to me.
I don’t know how to actually measure the angle between points.
I would construct a radius line straight up, duplicate it , anchor the bottom, then rotate it to the center of the tab noting the angle. If the tab locations are symmetrical you can double the angle.

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@berainlb

At the risk of belaboring the subject – for the sake of others trying to follow this – here is the step-by-step of what I had to do (which wasn’t entirely intuitive because it didn’t just “appear”) . . .

AFTER I created a circle and used a Boolean cut to get the shape I wanted . . .

(1) I inserted two nodes along the arc – partly because it didn’t seem like the program would let me select the nodes where the arc met the straight line

(2) I clicked on one of my created nodes and then, holding down CTRL I selected the other node.

(3) then I selected the Measure tool

(4) and then I had to select the Select [pointer] tool and when I dragged it over the segment(s) I wanted to measure, the segment changed color and I could read the measurement.

This method would work well also for the arcs of ellipses, whereas the arc calculator method might be limited to circles?

I also tried the method of drawing a line across an ellipse so that the ends of the line met the circle, added nodes at those intersections, and then used the measure tool and hovered the pointer over the segment which I wanted to measure.

Something seems superfluous here. Simply hovering the pointer over the line segment should show the measurement for that segment.

But yes, getting the nodes in the appropriate position for where you want to measure makes getting the right measurement easier.

@berainlb - Yes, superfluity is likely and I can probably refine the method which I stumbled into with some practice and experience.

No doubt I made mistakes and could do things more efficiently. I hope my process didn’t make it more confusing for anybody.

But with your help, I think I began to arrive at a solution and grew in my understanding of Lightburn – even if you had to suffer the “labor pains.”

Much appreciated. Happy New Year!

I am currently on my phone, but I will for sure be checking your method for future use. I also am glad to have gleaned from the conversation.
Happy New Year.

@Cumberland - Thanks.

I wonder if I could delete all of the steps in this thread and just post an efficient, simplified version of what I learned so that future sojourners wouldn’t have to wade through all of the "discoveries.

Measuring an ellipse was a little “wonky” because the nodes were not evenly distributed between the two points of interest . . . but that could also be due to my clumsy construction. [berainlb was correct that I did not need to “select” nodes in order to make measurements.]

Note two of the PINK “segments” comparing these to screen shots:

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