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Statements

Subject Item

dbr:Point_plotting

rdfs:label

Point plotting

rdfs:comment

Point plotting is an elementary mathematical skill required in analytic geometry. Invented by René Descartes and originally used to locate positions on military maps, this skill is now assumed of everyone who wants to locate grid 7A on any map. Using point plotting, one associates an ordered pair of real numbers (x, y) with a point in the plane in a one-to-one manner. As a result, one obtains the 2-dimensional Cartesian coordinate system.

dct:subject

dbc:Elementary_mathematics

dbo:wikiPageID

2497698

dbo:wikiPageRevisionID

842480361

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dbr:Military dbr:Map dbc:Elementary_mathematics dbr:Real_number dbr:Ordered_pair dbr:Perpendicular dbr:Mathematics dbr:Cartesian_coordinate_system dbr:Graph_of_a_function dbr:Bijection dbr:René_Descartes dbr:Plane_(mathematics) dbr:Analytic_geometry

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dbo:abstract

Point plotting is an elementary mathematical skill required in analytic geometry. Invented by René Descartes and originally used to locate positions on military maps, this skill is now assumed of everyone who wants to locate grid 7A on any map. Using point plotting, one associates an ordered pair of real numbers (x, y) with a point in the plane in a one-to-one manner. As a result, one obtains the 2-dimensional Cartesian coordinate system. To be able to plot points, one needs to first decide on a point in plane which will be called the origin, and a couple of perpendicular lines, called the x and y axes, as well as a preferred direction on each of the lines. Usually one chooses the x axis pointing right and the y axis pointing up, and these will be named the positive directions. Also, one picks a segment in the plane which is declared to be of unit length. Using rotated versions of this segment, one can measure distances along the x and y axes. Having the origin and the axes in place, given a pair (x, y) of real numbers, one considers the point on the x axis at distance |x| from the origin and along the positive direction if x≥0, and the other direction otherwise. In the same way one picks the point on the y axis corresponding to the number y. The line parallel to the y axis going through the first point and the line parallel to the x axis going through the second point will intersect at precisely one point, which will be called the point with coordinates (x, y).

gold:hypernym

dbr:Skill

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wikipedia-en:Point_plotting?oldid=842480361&ns=0

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1844

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wikipedia-en:Point_plotting