Quadric Surfaces: Definition & Examples

  • Thread starter Thread starter qqchico
  • Start date Start date
  • Tags Tags
    Surfaces
AI Thread Summary
Quadric surfaces are defined as the graphs of second-degree equations in three variables: x, y, and z. The term "quadric" derives from "quadratic," which refers to the second power in these equations. The confusion arises from the prefix "quad," which suggests four, but it relates to the four sides of a square. Thus, quadric surfaces involve equations that include terms raised to the second power. This terminology connects the geometric properties of these surfaces to their mathematical definitions.
qqchico
Messages
28
Reaction score
0
why are they called quadric surfaces?
 
Physics news on Phys.org
well the definition in my book gives:

Q quadric surface is the graph of a second-degree equation in three variables x, y, and z. So i guess cause its the graph of a quadratic equation in 3-D.
 
I have that too but i don't think the teacher would give such an easy question. thanks a bunch.
 
Why are "quadratic equation" called "quadratic" when "quad" means 4?

Apparently because a square has 4 sides!

Extends, then to "quadric" surfaces, surfaces whose equations involve 2 nd power.
 
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »
Thread 'Trying to understand the logic behind adding vectors with an angle between them'

Thread 'Trying to understand the logic behind adding vectors with an angle between them'

My initial calculation was to subtract V1 from V2 to show that from the perspective of the second aircraft the first one is -300km/h. So i checked with ChatGPT and it said I cant just subtract them because I have an angle between them. So I dont understand the reasoning of it. Like why should a velocity be dependent on an angle? I was thinking about how it would look like if the planes where parallel to each other, and then how it look like if one is turning away and I dont see it. Since...
View full post »

Similar threads

Confusion regarding surface tension direction and force balance
Replies
39
Views
2K
If closed integral of E.dS is zero over a surface, then...?
Replies
14
Views
931
B-field from a current in a wire above a conducting surface
Replies
1
Views
582
MHB How is z=2xy a Hyperbolic Paraboloid in the rotated 45° in the xy-plane?
Replies
7
Views
2K
Friction problem of a block sandwiched between 2 surfaces
Replies
6
Views
1K
Effect of temperature on surface tension
Replies
2
Views
1K
Direction of electric field vector on the surface of charged conductor
Replies
9
Views
2K
Flux through a cylindrical surface enclosing part of a sphere
Replies
9
Views
615
Why is the derivative of the potential at a surface assumed to be continuous even though there is surface charge?
Replies
1
Views
170
Force acting on one side of a fluid
Replies
22
Views
1K

Hot Threads

Recent Insights

Back
Top