Cone of Apollonius: Slicing a cone with a plane will produce the famous curves known as the conic sections.


Cone of Apollonius: Slicing a cone with a plane will produce the famous curves known as the conic areas.


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30 Comments

  1. Maybe I’m not a smart man, and so maybe I’m not getting this, but what is this educating me with?

    You tear a chunk out of a cone, slap it on its side and what?

    Is this video showing me the relationship between a cone and shapes? Or specially what shapes mean what (and the cone is incidental)?

    I’m sure these have obvious answers when you’re already mathematically minded, but pretty shapes aside, i have no idea what I’m looking at

  2. Well, there are actually *two* cones. Without the second one, it’s not immediately obvious what the difference between the parabola and the hyperbola is.

  3. If you slice it straight down the middle, do you get a triangle? And if so, why do we not consider a triangle as a conic section?

  4. What a trash post, I did not see a plane crash into that cone to “slice” it. Probably would have been better using a helicopter.

  5. This was by far my worst math class in college. Honors level freshman course with a prof that sucked, don’t remember anything at all from it except the integrals get nasty.

  6. Don’t show this to Ben or he’ll have to redo the Cones of Dunshire and find a way to implement this new conical technology.

  7. All I remember about an ENTIRE year of high school math was the math teacher’s running joke….”What’s a parabola?……2 bola.”

  8. One of my students made a 3D printed model of this using the equations for the curves, I probably have the stl file somewhere.

  9. I’m still traumatized from having to hand draw those shapes generated by a sliced cone. Descriptive geometry was taught in architecture school in the pre digital era.

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