...a cylinder...
Circles were drawn by ancient peoples before writing was developed. No one "invented" or "made" the circle from that perspective.
Circles and rectangles are plane (2-dimensional) figures, so it doesn't seem that they can be used to construct solids.
A point is a single spot in space. A line is the connection between two points. A plane is the space made up between three or more lines. A plane has infinite lines and therefore infinite points.
A polyhedron is a 3 dimensional figure made of polygons. A cylinder is made of two circles and a rectangle around the middle. Since circles are not considered polygons (don't have straight edges), a cylinder cannot be a polyhedron. I just had a discussion about this with my math students today.
three
three
Yes, it is.
In general, a linear equation CANNOT be made to go through three points. That will only happen if the three points are collinear and in that case, the equation of the line will only require two points.
Infinitely many if the 3 distinct points are collinear. Otherwise just 1.
A set of all points is how various shapes are made in geometry. Lines are sets of points, and so are surfaces. Circles are sets of all points that are a fixed distance from a central point. All geometric shapes are made from sets of all points.
Thay are three points, or three-pointers
Three straight lines meeting, pairwise, at three points (vertices).
It takes three points to make a plane. The points need to be non-co-linear. These three points define a distinct plane, but the plane can be made up of an infinite set of points.
By the geometric definition of a line, it is represented by two points, and all points on the line are collinear, between or extrapolating to infinity from the straight line made by the two points. In other words, a line is straight, and can be represented by a binomial function (example: y=2x+1). A parabola is a function, but cannot be described mathematically as a line.
In basketball, a field goal (a shot made from outside the three-point line) is worth three points.
A trapezium has four points. If it has five, it is not a trapezium unless three of the points are on the same line. And in that case, one of those points is redundant.