- #1
Telemachus
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Doubts about the meaning of "canonical"
Hi there. I have a doubt about what we are talking about when we ask, in linear algebra, for the canonical form of a conic.
The doubt is basically, if for example, the canonical form of a circle includes a circle translated at any point, for example:
[tex](x-2)^2+(y-3)^2=3^2[/tex]
Or if it only reefers to the circle when it is centered at the origin, and then if I have that equation I must make a translation to get:
[tex]x'^2+y'^2=3^2[/tex]
Essentially its the same, but I'm not sure when it is in the canonical form, and what the canonical forms of a conic are, and what isn't.
Thats all.
Thanks for posting and over :P
Homework Statement
Hi there. I have a doubt about what we are talking about when we ask, in linear algebra, for the canonical form of a conic.
The doubt is basically, if for example, the canonical form of a circle includes a circle translated at any point, for example:
[tex](x-2)^2+(y-3)^2=3^2[/tex]
Or if it only reefers to the circle when it is centered at the origin, and then if I have that equation I must make a translation to get:
[tex]x'^2+y'^2=3^2[/tex]
Essentially its the same, but I'm not sure when it is in the canonical form, and what the canonical forms of a conic are, and what isn't.
Thats all.
Thanks for posting and over :P