How you can use the Section Plane tool with a cone, to create a circle, ellipse, parabola, and hyperbola. See how you can section other complex 3D solids, too!
you can also use the arrow keys to align the section plane or rotate tool align with the axes, or to stay parallel or perpendicular to lines on the model Instead of having to hold shift
@GuzmanTierno Yup, she passes up the way to get a good parabolic slice at the beginning. Since the section tool will flip to be tangent to a curve when you go up to the side of the cone it will orient itself to the same slope as the wall of the cone. It kind of "wants" to make a parabolic section. All you have to do next is push it into the cone and there you have a parabola (or a bunch of segments that approximate one to be exact)
Geoff Phillips We have a book on this:www.3dvinci.net/ccp0-prodshow/G3ds1_PDF.html. And one on derivative solids as well: www.3dvinci.net/ccp0-prodshow/G3ds2_PDF.html
Well, what she says is not entirely true. The section of a plane and a cylinder is an ellipse. A secion of a general cone and a plane is NOT an ellipsis. If the plane is paralel to the height line of the cone, then the section is a hyperbola.
I understood clearly what she meant in the video. By the way, planes are not always flat (think of the topological plane which has a concept of a linear path, but no concept of a straight line). Chill out...
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Wow, this is an amazing tool! I saw your presentation at the Boston NCTM (Oct '09). I think I'll find these RUclips videos to be very useful...Thanks!
Great tutorial. The instructions are very clear.
you can also use the arrow keys to align the section plane or rotate tool align with the axes, or to stay parallel or perpendicular to lines on the model
Instead of having to hold shift
@GuzmanTierno
Yup, she passes up the way to get a good parabolic slice at the beginning. Since the section tool will flip to be tangent to a curve when you go up to the side of the cone it will orient itself to the same slope as the wall of the cone. It kind of "wants" to make a parabolic section. All you have to do next is push it into the cone and there you have a parabola (or a bunch of segments that approximate one to be exact)
This helped in calculus with conic sections
Cone can be made with a triangle and the follow me tool on a circle.
if the section is elipse and you move it parallel it would still be ellipse. Not parabola.Ask if you dont know geometry
Great, but how do you create the various Archimedean polyhedra in Sketchup?
Geoff Phillips We have a book on this:www.3dvinci.net/ccp0-prodshow/G3ds1_PDF.html. And one on derivative solids as well: www.3dvinci.net/ccp0-prodshow/G3ds2_PDF.html
@GuzmanTierno
NEAT. I'll give it a go . (('m guessing I could use a rectangle to do the same job? I'm off to experiment. Thanks GuzzmanTiemo
Thank You so much .
The section planed cone has Length, Width , Height.
Explain why you call it 2D and not 3D. Thanks.
Well, what she says is not entirely true. The section of a plane and a cylinder is an ellipse. A secion of a general cone and a plane is NOT an ellipsis. If the plane is paralel to the height line of the cone, then the section is a hyperbola.
@GuzmanTierno
I'm still trying to figure out how to join the lines and make that parabolic area in to a shape I can push and pull into something..
Do you use the Pro version to do this?
Very True!
How do you retain the cutaway shape? Everytime I erase the section plane it reverts back to the olriginal form.
+sultony947 did you figure out how to retain the cutaway? thx!
any of you figured it out yet? :/
@GuzmanTierno a
ahhhh, got it. thanks!
I understood clearly what she meant in the video. By the way, planes are not always flat (think of the topological plane which has a concept of a linear path, but no concept of a straight line). Chill out...
If only you COULD make a circle and enter "infinity" into the sides box.
no aparece forra