http://debianws.lexgopc.com/wiki143/index.php?action=history&feed=atom&title=Point_plotting 2026-10-25T12:49:30Z Revision history for this page on the wiki MediaWiki 1.43.1 http://debianws.lexgopc.com/wiki143/index.php?title=Point_plotting&diff=1771027&oldid=prev 2025-06-20T13:06:03Z

<p>Reword lead</p> <p><b>New page</b></p><div>{{Unreferenced|date=December 2009}}<br /> <br /> &#039;&#039;&#039;Point plotting&#039;&#039;&#039; is an elementary [[mathematics|mathematical]] skill required in [[analytic geometry]]. Invented by [[René Descartes]] and originally used to locate positions on [[military]] [[map]]s, this skill is now assumed of everyone who wants to locate grid on any map, for example, 7A.<br /> <br /> Using point plotting, one associates an [[ordered pair]] of [[real number]]s (&#039;&#039;x&#039;&#039;, &#039;&#039;y&#039;&#039;) with a point in the [[plane (mathematics)|plane]] in a [[bijection|one-to-one]] manner. As a result, one obtains the 2-dimensional [[Cartesian coordinate system]].<br /> <br /> To be able to plot points, one needs to first decide on a point in plane which will be called the &#039;&#039;origin&#039;&#039;, and a couple of [[perpendicular]] lines, called the &#039;&#039;x&#039;&#039; and &#039;&#039;y&#039;&#039; axes, as well as a preferred direction on each of the lines. Usually one chooses the &#039;&#039;x&#039;&#039; axis pointing right and the &#039;&#039;y&#039;&#039; axis pointing up, and these will be named the &#039;&#039;positive&#039;&#039; 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 &#039;&#039;x&#039;&#039; and &#039;&#039;y&#039;&#039; axes.<br /> <br /> Having the origin and the axes in place, given a pair (&#039;&#039;x&#039;&#039;, &#039;&#039;y&#039;&#039;) of real numbers, one considers the point on the &#039;&#039;x&#039;&#039; axis at distance |&#039;&#039;x&#039;&#039;| from the origin and along the positive direction if &#039;&#039;x&#039;&#039;≥0, and the other direction otherwise. In the same way one picks the point on the &#039;&#039;y&#039;&#039; axis corresponding to the number &#039;&#039;y&#039;&#039;. The line parallel to the &#039;&#039;y&#039;&#039; axis going through the first point and the line parallel to the &#039;&#039;x&#039;&#039; axis going through the second point will intersect at precisely one point, which will be called the point with coordinates (&#039;&#039;x&#039;&#039;, &#039;&#039;y&#039;&#039;).<br /> <br /> ==See also==<br /> * [[Cartesian coordinate system]]<br /> * [[Graph of a function]]<br /> <br /> ==References==<br /> {{reflist}}<br /> <br /> {{DEFAULTSORT:Point Plotting}}<br /> [[Category:Elementary mathematics]]<br /> <br /> {{math-stub}}</div>

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