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What topic or branch of mathematics should I study if I want to study all about shapes like:

  1. Line segment
  2. Line, the slope of a line
  3. Curves -- arc, circle, etc.
  4. Ellipse
  5. Hyperbola
  6. Parabola
  7. Parametric curves
  8. Bezier curves
  9. Rectangle, triangles, parallelogram, trapezium, rhombus, etc.
  10. 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.

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You should study analytic geometry. This branch of mathematics best suits your needs.

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  • $\begingroup$ Thanks so much. $\endgroup$ – Water Cooler v2 Jun 1 '18 at 1:40

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