Tangent lines to curves


#1

As we know that circles and arches are made of strait lines, I find difficult to connect a line tangent to a circle or arch.
Is there a way to overcome this challenge? Well, without increasing the number of segments forming the circle or arch.
Thank you in advance.


#2

This is indeed problematic since SketchUp’s polygonal representation of a circle or arc does not necessarily have any point where a tangent would touch the theoretical circle. The best answer may be TIG’s plugin:

http://sketchucation.com/plugin/771-truetangents


#3

My old http://sketchucation.com/pluginstore?pln=TrueTangents
Makes guides/points at true tangents, arc intersections etc…
You then redraw between those…


#4

SU shows tangencies (with cyan inferencing for single-tangent or magenta inferencing for double-tangent). The tangent inferencing appears when you draw a curve tangent to an edge but not an edge tangent to a curve.

-Gully


#5

Hi folks.

Decide where you want the tangency point. Then, draw a radius from the center of the curve to the periphery of the curve. If this point is between two endpoints, draw two edges from these points to the desired tangency point and then erase the previous edge between these two endpoints.

Then draw a perpendicular to this radius. It shall be tangent to the curve.

If you can post a sip file of your curve, it would be possible to see if this is feasible with it.

Just ideas.

Jean


#6

Thank you guys!!!
The problem is clear now using SketchUp.

jean,
1.- Would you please explain to me this part of your answer: …"If this point is between two endpoints, draw two edges from these points to the desired tangency point and then erase the previous edge between these two endpoints."
2.- Another challenge that I would like to solve geometrically (not with SketchUp) is how to draw a tangent line when you have a circle and a point some distant outside the circle from where the tangent line starts.
Thank you.


#7

Here’s a graphical solution: http://www.mathopenref.com/consttangents.html

-Gully


#8

Point 2. - see my TrueTangents…


#9

Hi cb94030, hi folks.

Click in sequence on the scenes tabs of this SU file for ideas.

Tangent to a curve.skp (93.3 KB)

Jean


#10

Very informative post and dew-ly bookmarked…Thanks All!! and…Peace…


#11

Gully, Jean,
THANKS A LOT!!! You guys made my day.
That was exactly what I needed. Actually as I like geometry, the page that you sent me Gully is like a candy for a kid.
Chris