conics (1 Viewer)

[bob fossil]

please help i think im stuck about half way.

P is the point (x1,y1) on the ellipse x^2/a^2+y^2/b^2=1. The normal at P meets the x axis at G. N is the foot of the perpendicular from p to the x axis.

Prove OG=e^ON


So far i have found the equation of the tangent
Let it = 0 for G
G=(a^2/x1,0)

Now i am stuck all i have is N=(x1,0)

 

[Trebla]

please help i think im stuck about half way.

P is the point (x1,y1) on the ellipse x^2/a^2+y^2/b^2=1. The normal at P meets the x axis at G. N is the foot of the perpendicular from p to the x axis.

Prove OG=e^ON


So far i have found the equation of the tangent
Let it = 0 for G
G=(a^2/x1,0)

Now i am stuck all i have is N=(x1,0)

Couple of things:
- Not quite clear what the thing is to prove "e^ON"??
- The normal at P meets the x-axis at G, NOT the tangent (you need the equation of the normal)

 

[bob fossil]

Couple of things:
- Not quite clear what the thing is to prove "e^ON"??
- The normal at P meets the x-axis at G, NOT the tangent (you need the equation of the normal)

e^2ON


and fuck im an idiot

 

[bob fossil]

ok i worked it out.


now im fully stuck on prove SG=e.SP


does SG=ea-x1e^2

 

[bob fossil]

ok i worked it out.


now im fully stuck on prove SG=e.SP


does SG=ea-x1e^2

dw worked it out