What topic or branch of mathematics should I study if I want to study all about shapes like:
- Line segment
- Line, the slope of a line
- Curves -- arc, circle, etc.
- Ellipse
- Hyperbola
- Parabola
- Parametric curves
- Bezier curves
- Rectangle, triangles, parallelogram, trapezium, rhombus, etc.
- 3d shapes like cylinder, cone, sphere, hemisphere, etc.
Sorry, when I was in school, I was very good at all this and I used to even teach all this to younger students, but now I have forgotten it almost completely. But I think if I study a little bit, a lot of it will return very quickly.
What should I type in google if I want to study these things? Are they all a part of a single branch of maths? Is that linear algebra or something else? Sorry I am so stupid in maths just now.
You should study analytic geometry. This branch of mathematics best suits your needs.