I am trying to draw a picture of a very simple sphere - i.e. one big black circle with additionally, an equator indicated with solid line in front, dotted in back.
on this sphere I want to draw a handful of circles that come about from the intersection of the sphere with a plane. These planes should all pass through the same point on the surface and share the same tangent vector there.
But all I can find in this regard is either planes through (an axis through) the center of the sphere, or parallel planes (i.e. latitude and longitude type circles). eg Draw parallels of a sphere with tikz or How do you draw spheres and arcs on a sphere on latex? , but I want all the circles to pass through one point and be parallel at that point.
Another explanation - imagine a line tangent to the sphere. Next imagine all planes that pass through this line. They each intersect the sphere in a circle, but only one of them will be a major circle (geodesic), the others will be smaller and off to the side.
Is it clear what I mean? Can someone point me in the right direction?
thank you all.
EDIT: Ok I will try to draw it by hand. You are correct that I should try. I am bad a sketching though :(