8/5/2023 0 Comments Rhino vs formz![]() Figure (25): Parametric linear curve in 3-D space and parameter interval. If you have a straight path (line segment) between the two points $$T$$ that translates to a location (point) on the curve. $$T$$ amount of time, then the parameter t represents a time within As mentioned before, you can think of a parametric curve as a path traveled between two points in a certain amount of time, traveling at a fixed or variable speed. $$x^2 + y^2 = r^2$$ 3.1 Parametric curves Curve parameterĪ parameter on a curve represents the address of a point on that curve. We can derive the general equation of a circle for the parametric one as follows: The parametric equation of the circle on the xy-plane with a center at the origin (0,0) and an angle parameter ![]() $$z$$ location of a parametric curve in terms of some parameterĪnother example is a circle. The time interval you spend from start to end (8 to 9) is called the curve domain or interval. Congratulations, you have just defined your first parametric curve! You have used time as a parameter to define your path, and hence you can call your path curve a parametric curve. Assuming you travel the exact same speed every day, at 8:00 you would be at home (start location), at 9:00 you would be at work (end location) and at 8:40 you would at the exact same location on the path as the 40th plot point. If you plot your location every minute during your trip, you can define the path between home and work by connecting the 60 points you plotted. At each point in time between 8:00 and 9:00, you would be at some location along the way. You leave at 8:00 in the morning and arrive at 9:00. Suppose you travel every weekday from your house to your work. Rajaa updated: Wednesday, August 8, 2019)
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