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this is a geometry in which every point is a dot and very line is made up of separate points, with a space between them. We use the word discrete becuase it means, detached from separate or distince Two lines can cross without touching |
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this is a geometry in which every point is an exact location having no real size and every line is a set of continuouts points with no space between them. We use the word synthetic becuase it meanst ot put together and we are putting points together to make continuous geometric figures. must be straight from Greek suntheos, to put together ex. number line |
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this is a geometry in which every point is an exact location represented algebraically by an ordered pair of coordinates denoting its position, and a line is a set of continuous points, with no space between them. We use the word coordinate bcuase we treat all plane geopmetric figures as sets fo points, which can be represented in a Cartesian oordinate system. line defined as y=mx+b
{xyl Ax + By = C; A, B, C, are integers; A, B are not both zero} y = mx +b |
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this si a geometry made up of a graph of paths or arcs in which every point called a node is the endpint of a line caled a edgte. In htis geometry, we study geometric figres from the prespective fo walking along paths fo the graph in a n effort to determine if they are traversabel. In other words to see if they can be covered by walking along lall of the edges only one cand still cover teh whole graph we use the word network becuase all of the ses points and lines resemble an opern framework of net "graph theory" |
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Definition
set of points extending in both directions containing the shortest path between any two points on it |
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