Is a Circle Always Formed When Cutting a Cone at Any Angle?

AI Thread Summary
Cutting a cone at any angle does not always result in a circle; instead, it can produce various conic sections, including ellipses, parabolas, and hyperbolas. The term "conic section" refers to these different shapes formed by intersecting a cone with a plane. The specific shape depends on the angle and position of the cut relative to the cone's axis. Clarifying the terminology helps in understanding these geometric concepts. Therefore, the assertion that a circle is always formed is incorrect.
Robin07
Messages
137
Reaction score
0
I was taught that if you cut through a cone at any angle you will end up with a circle shape at the cones edge. Is this true?
 
Engineering news on Phys.org
Robin07 said:
I was taught that if you cut through a cone at any angle you will end up with a circle shape at the cones edge. Is this true?
Your question isn't clear. But taking a guess at your meaning, it is false,. You can end up with any conic section. That's where the name "conic section" comes from.
 
Thanks for the terminology. I looked it up on wikipedia which cleared things up .

Thanks again.
 

Thread 'Bubble formation in 4 mm gap vessel'

How did you find PF?: Via Google search Hi, I have a vessel I 3D printed to investigate single bubble rise. The vessel has a 4 mm gap separated by acrylic panels. This is essentially my viewing chamber where I can record the bubble motion. The vessel is open to atmosphere. The bubble generation mechanism is composed of a syringe pump and glass capillary tube (Internal Diameter of 0.45 mm). I connect a 1/4” air line hose from the syringe to the capillary The bubble is formed at the tip...
View full post »
Thread 'Physics of Stretch: What pressure does a band apply on a cylinder?'

Thread 'Physics of Stretch: What pressure does a band apply on a cylinder?'

Scenario 1 (figure 1) A continuous loop of elastic material is stretched around two metal bars. The top bar is attached to a load cell that reads force. The lower bar can be moved downwards to stretch the elastic material. The lower bar is moved downwards until the two bars are 1190mm apart, stretching the elastic material. The bars are 5mm thick, so the total internal loop length is 1200mm (1190mm + 5mm + 5mm). At this level of stretch, the load cell reads 45N tensile force. Key numbers...
View full post »

Thread 'Find 3D Printer & Software Resources for Prototype Creation'

I'd like to create a thread with links to 3-D Printer resources, including printers and software package suggestions. My motivations are selfish, as I have a 3-D printed project that I'm working on, and I'd like to buy a simple printer and use low cost software to make the first prototype. There are some previous threads about 3-D printing like this: https://www.physicsforums.com/threads/are-3d-printers-easy-to-use-yet.917489/ but none that address the overall topic (unless I've missed...
View full post »

Similar threads

CNC: Deviations from the nominal thread profile due to tilting angle of the cutting insert?
Replies
3
Views
2K
MCNP cone source definition
Replies
1
Views
2K
I Antenna made from a pair of metal cones, radiation gain verses frequency.
Replies
1
Views
825
CNC Thread Mill Macro Programming
Replies
16
Views
2K
B Problem about a cone and plane cutting it
Replies
14
Views
3K
B Extending the Lagrangian of a double pendulum to more complex systems
Replies
3
Views
1K
Is It Possible to Over Grease Automotive Bearings?
Replies
14
Views
2K
Air Friction energy loss on a trampoline
Replies
13
Views
2K
What is the minimum time at a given angle on a cone with constant size?
Replies
18
Views
2K
Intersection of a few surfaces
Replies
13
Views
2K

Hot Threads

Recent Insights

Back
Top