Projection of a point on a line and other basic operations

Grasshopper
1

hello everyone.
I want to do some simple projection and intersection operations, and I would like to find a simpler system.
for example, i want to find the perpendicular from a point to a line, and then the foot of the perpendicular.
And I would like this to work for any line in space from any point in space, not belonging to the line.

I found a solution that works in the case where the line lies on the XY plane and the point is any, but I am not sure if it works in the other more general cases.

tutorial
tutorial1785×560 56.7 KB

project a point on a line.gh (13.9 KB)

Does anyone know how to do this in a simpler way? and also for this kind of operation are there other faster procedures?

thanks

2

I would use Curve Closest Point if you are sure the perpendicular will fall on the Line:

image
image1361×718 147 KB

project a point on a line_Re.gh (18.6 KB)

otherwise I’d go for something like this:

image
image1295×551 130 KB

project a point on a line_Re_Re.gh (16.9 KB)

1 Like
3

thank you @inno.
The first solution it’s ok but it’s a particular case.
The second it’s ok, but why did you use the reverse command? in my opinion i think it isn’t necessary, because i saw that line intersect themselves in both directions.

image
image925×564 44.3 KB

Anyway that’s cool. :facepunch:

4

you’re right :+1:

1 Like
5

:grinning:
Anyway It’s quite tricky working with planes.
I made several attempts, but I hadn’t really thought about this solution!

6

your final solution.

project a point on a line.2
project a point on a line.21399×713 72.7 KB

project a point on a line.2.gh (10.3 KB)

Maybe there are other ways?