MHB Parameterisation of quadric surfaces of order 2

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The discussion focuses on seeking online resources for parameterizing quadric surfaces of order 2, specifically referencing a cone as an example. Participants inquire about standard techniques for deriving parametric equations for various quadratic surfaces. There is a mention of existing resources, such as Wolfram MathWorld, but the initial poster expresses difficulty finding useful information through a general search. The conversation highlights a need for clarity on what is meant by parameterization in this context. Overall, the thread emphasizes the search for effective methods and resources in understanding quadric surface parameterization.
bugatti79
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Hi Folks,

1) Can anyone provide some online sources on how to parameterize quadric surfaces of order 2 as shown in this link

Algebraic Surface -- from Wolfram MathWorld

Is there a standard technique?

I did a google search with no useful info.

Thanks
 
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bugatti79 said:
1) Can anyone provide some online sources on how to parameterize quadric surfaces of order 2 as shown in this link
What do you mean by parametrization?
 
Evgeny.Makarov said:
What do you mean by parametrization?

As an example, in the above link, specifically a cone, there are parametric equations given
Cone -- from Wolfram MathWorld

Is there a technique to derive all other types of quadratic surfaces?
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...

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