Jun 22, 2019 · You can show the lines corresponding to intersection of pairs of three surfaces using the option BoundaryStyle. You can get the points where all three surfaces intersect …

May 6, 2017 · If a cylinder is $x^2+8y^2=1$ and a plane is $x+y+3z=0$, what's the form of the intersection? I thought of substituting the $y$ variable from the plane's equation in the …

Nov 23, 2018 · One case where your strategy will work is when you have two equations, y = f(x) and y = g(x), and want to know where the two graphs intersect. Then you may (and should) …

The Wolfram Language provides fully integrated support for solid geometry, including basic regions such as points, lines, planes, and spheres; functions for computing basic properties …

Apr 24, 2018 · I have to find the intersection between these two surfaces in $\mathbb {R}^ {3}$: this cylinder $$x^ {2}+y^ {2}-8x-8y+28=0$$ and this plane: $$x-y=0$$ and then find a …

This Demonstration determines if a cylinder and a plane intersect and if so, constructs the intersection. You can control the orientation of the plane and distance from the origin. You can …

InfinitePlane[{p1, p2, p3}] represents the plane passing through the points p1, p2, and p3. InfinitePlane[p, {v1, v2}] represents the plane passing through the point p in the directions v1 …

This document shows how to determine whether two bounded cylinders intersect. The algorithm uses the method of separating axes. The search for a separating axis for cylinders is more …

To plot the graph of a plane in Mathematica, the simplest approach is to plot its equation as that of a (simple flat) surface with equation z = f(x, y). That is possible unless the variable z does not …

Let’s use what we know about cylindrical coordinates to create some graphs. To graph the cylinder xy22 16 use (,) 4cos, (,) 4sin, (,)x uv u yuv u zuv v with 02,0 5 uv . The radius is 4 and …