Difference between revisions of "Prove Command"
From GeoGebra Manual
m |
(add link to gg-art-doc) |
||
| Line 6: | Line 6: | ||
<ggb_applet width="525" height="366" version="5.0" id="40121" enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="false" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="false"/> | <ggb_applet width="525" height="366" version="5.0" id="40121" enableRightClick="false" showAlgebraInput="false" enableShiftDragZoom="false" showMenuBar="false" showToolBar="false" showToolBarHelp="true" enableLabelDrags="false" showResetIcon="false"/> | ||
</div>}} | </div>}} | ||
| − | {{Note| See also [[ProveDetails Command|ProveDetails]] command, [[Boolean values|Boolean values]] and [http://dev.geogebra.org/trac/wiki/TheoremProving technical details of the algorithms].}} | + | {{Note| See also [[ProveDetails Command|ProveDetails]] command, [[Boolean values|Boolean values]], [https://github.com/kovzol/gg-art-doc/tree/master/pdf/english.pdf GeoGebra Automated Reasoning Tools: A Tutorial] and [http://dev.geogebra.org/trac/wiki/TheoremProving technical details of the algorithms].}} |
Revision as of 09:30, 27 March 2017
- Prove[ <Boolean Expression> ]
- Returns whether the given boolean expression is true or false in general.
Normally, GeoGebra decides whether a boolean expression is true or not by using numerical computations. However, the Prove command uses symbolic methods to determine whether a statement is true or false in general. If GeoGebra cannot determine the answer, the result is undefined.
Example:
We define three free points,
A=(1,2), B=(3,4), C=(5,6). The command AreCollinear[A,B,C] yields true, since a numerical check is used on the current coordinates of the points. Using Prove[AreCollinear[A,B,C]] you will get false as an answer, since the three points are not collinear in general, i.e. when we change the points.Example:
Let us define a triangle with vertices A, B and C, and define
D=MidPoint[B,C], E=MidPoint[A,C], p=Line[A,B], q=Line[D,E]. Now both p∥q and Prove[p∥q] yield true, since a midline of a triangle will always be parallel to the appropriate side.
Note: See also ProveDetails command, Boolean values, GeoGebra Automated Reasoning Tools: A Tutorial and technical details of the algorithms.
