Bench Planes: The System of Three | Popular Woodworking Magazine

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If given a line represented by either a vector or two points on the line how do I find the point at which the line intersects a plane? I've found loads of resources on this but I can't jointer plane length example the equations there they don't seem to be standard algebraic.

I would like an equation no matter how long that can be interpreted by a standard programming language I'm using Java. Here is a method in Java that finds the intersection between a line and a plane. There are vector methods that aren't included but their functions are pretty self explanatory.

Where the plane can be either a point and a normal, or a 4d vector normal formIn the examples below code for both is provided. Also note that this function calculates a value representing where the point is on the line, called fac in jointer plane length example code below.

You may want to return this too, because jointer plane length example from 0 to 1 intersect the line segment - which may be useful for the caller. Note: This example uses pure functions, without any dependencies - to make it easy to move to other languages. With a Vector data type and operator overloading, it can be more concise included in example below.

For further reference, this was taken from Blender and adapted to Python. For clarity, here are versions using the mathutils API which can be modified for other math libraries with operator overloading.

If the normal to the plane is perpendicular to the direction along the line, then you have an edge case and need to see whether it intersects at all, or lies within the plane. I know this isn't code but to get a robust solution you'll probably want to put this in the context of your application. EDIT: Here's an example for which there's exactly one point of intersection. Say you start with the parameterized equations in the first link:.

The parameter t can be anything. The infinite set of all x, y, z that satisfy these equations comprise the line. Then, if you have the equation for a plane, say:. Solve for t. This is jointer plane length example particular value of t for that line that lies in the jointer plane length example. Then you can solve for xyand z by going back up to the line equations Jointer Plane Length Code and substituting t back in.

Based on this Matlab code minus the checks for intersectionin Python. This I believe is a more robust implementation of the link jointer plane length example before.

This question is old but since there is such a much more convenient solution I figured it might help someone. Plane and line intersections are quite elegant when expressed in homogeneous coordinates but lets assume you just want the solution:.

Note: Vec3D is just a custom class which has points: x, y and z. Stack Overflow for Teams — Collaborate and share knowledge with a private group. Create a free Team What is Teams? Learn more.

Asked 9 years, 11 months ago. Active 1 year, 4 months ago. Viewed 58k times. Its not a duplicate, isn't asking about the general case.

Add a comment. Active Oldest Votes. ZGorlock ZGorlock 3 3 silver badges 10 10 bronze badges. LineDirection must be normalised — smirkingman Mar 4 '19 at I searched this answer for way to long! Great code example, easy to understand. In my code it had been normalized before being passed into the method, I have edited the post to include this. Just an update as this does not work for all case. Franck Good observation! This code only works for lines, not rays.

Heres a Python example which finds the intersection of a line and a plane. Other details noted in the code-comments. Return a Vector or None when the intersection can't be found. Finally, an intersection method that actually works! I was banging my head on the wall for so long trying to fix my code for point of contact, thank you sir.

In practice it's limited by float precision. Otherwise, you have one point of intersection, and can solve jointer plane length example Jointer Plane Length Quantization it. John John Thanks, that's very helpful, but I'm still a little baffled. I understand how to get the equation for the line, that's pretty simple. But from there Jointer Plane Length Youtube on I'm stuck. In lamen's terms, what exactly does the 'equation' of a plane mean?

And what do I jointer plane length example to work out the point of intersection once both equations are solved? What information do you know about your plane? Points in the plane, for example? Pretty much anything, I think. I know at least 4 points on the plane, and it's defined independently so I should be able to find jointer plane length example almost anything.

DNax DNax 1, 1 1 gold badge 18 18 silver badges 28 28 bronze badges. What if the line is contained within the plane? This function only seems to return a point or null, and in this case I would expect it to return the line itself because that's what intersects the plane. And can I conclude that when null is returned that the line never intersects jointer plane length example plane? Muhammad Qumail Muhammad Qumail 3 3 3 bronze badges. Sign up or log in Sign up using Google.

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Sep 21,  · The jointer plane for the great maturation casks, as used by the German coopers brought to the Brewery in Made from on oak beam. I have been informed that the wooden barrels were for the oversea shipments. Example. The 50/- pale www.- ted Reading Time: 4 mins. Mar 16,  · From the rear, a 30″ wooden jointer plane, a 22″ wooden try plane, and a 22″ iron try plane. Peter Nicholson, in his text The Mechanic’s Companion, provides us with a definition of both of these planes. In the book, Nicholson states that the purpose of the try plane is to. >What's the ideal length for a jointer plane? I want to joint boards for edge-gluing and I also need to get a flat surface on fairly large boards. Looking at the Lee Valley Web site, they've got two items in their Jointer Planes section: A Record # 7, 21 inches long, $ US; and a Veritas #6 Fore plane.

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