What is a point? Geometry Made Easy
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What is a Point?


A point is like the tiniest dot you can imagine. It is so small that it doesn't take up any room at all. It's not an actual object, because it doesn't take up any space. It's the idea of a point - the idea of the tiniest spot. When we draw a point with our pencil, we make it big enough to see, but that's much bigger than a point really is - a point has no size at all.

Sometimes a point can be the endpoint of a line, if the line begins at a certain point and then stretches off to infinity from there. Two points show you where a line goes - one of the axioms or basic ideas of geometry is that there is a line that connects any two points, but only one line and no more. Three points, if you connect them with lines, make a triangle, and four points make a rectangle, or a trapezoid, or a rhombus (a quadrilateral).

Points are also very important in drawing a circle: we can think of a circle as the set of points that are all the same distance from one center point of the circle.

More about lines
More about Geometry

Bibliography and further reading about geometry:

More about Geometry
More Easy Math
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Professor Carr

Karen Eva Carr, PhD.
Assoc. Professor Emerita, History
Portland State University

Professor Carr holds a B.A. with high honors from Cornell University in classics and archaeology, and her M.A. and PhD. from the University of Michigan in Classical Art and Archaeology. She has excavated in Scotland, Cyprus, Greece, Israel, and Tunisia, and she has been teaching history to university students for a very long time.

Professor Carr's PSU page

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