Solving rotation of conics on the Prime? Is there perhaps a better way?

09092015, 04:11 PM
(This post was last modified: 09092015 05:23 PM by pwarmuth.)
Post: #1




Solving rotation of conics on the Prime? Is there perhaps a better way?
I would like to know if there is a better way to do this on the HP prime. Is there a built in function or something I can use to simplify this process, besides writing a custom program? It's so tedious.
Transform the equation in x and y into an equation in X and Y (without an XYterm) by rotating the x and yaxes by the indicated angle. I am using the Prime to verify my answers. Problem: y^2 sqrt(3)*x*y + 3 = 0 where theta is 30 degrees. For reference: x=x, y=y, a=X', b=Y' and c=theta [CAS] [set degree mode] x:=a*cos(c)b*sin(c) y:=a*sin(c)+b*cos(c) c:=30 then use the stored variables to evaluate the equation that I'm working with. y^2sqrt(3)*x*y+3=0 That input simplifies to [(a)^2+3b^2+6]/2=0 Takes a little more manual transformation to get it into the standard form of a hyperbola, and I arrive then at the correct answer: [(a^2)/6] [(b^2)/2] = 1 where a = x and b=y. 

01172018, 03:40 AM
Post: #2




RE: Solving rotation of conics on the Prime? Is there perhaps a better way?
definitely the HP Prime needs a conic application, if I could program to the required level I would but I do not have that knowledge...


01192018, 10:13 AM
Post: #3




RE: Solving rotation of conics on the Prime? Is there perhaps a better way?
Giac has a command to find the center, axis of a conic and return the reduced equations: it's reduced_conic. Maybe it's in the public beta.


01192018, 10:16 AM
Post: #4




RE: Solving rotation of conics on the Prime? Is there perhaps a better way?
(01192018 10:13 AM)parisse Wrote: Giac has a command to find the center, axis of a conic and return the reduced equations: it's reduced_conic. Maybe it's in the public beta. yes, it is already in the beta v3: Code: reduced_conic(Expr,[Vector]) Salvo ∫aL√0mic (IT9CLU) :: HP Prime 50g 41CX 71b 42s 39s 35s 12C 15C  DM42, DM41X  WP34s Prime Soft. Lib 

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