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GeoGebra

GeoGebra
GeoGebra is a very useful mathematics tool for education in secondary schools, which brings together geometry, algebra and calculus.
GeoGebra is also a dynamic geometry system, meaning you can do constructions with points, segments, vectors, lines, conic sections as well as functions and change them dynamically afterwards.
On the other hand, equations and coordinates can be entered directly. Thus, GeoGebra has the ability to deal with variables for numbers, vectors and points, finds derivatives and integrals of functions and offers commands like Root or Extremum.
These two views are characteristic of GeoGebra: an expression in the algebra window corresponds to an object in the geometry window and vice versa.
Here are some key features of “GeoGebra”:
Captions enabled for all objects
New option “Force Reflex Angle” forces angles to be between 180 and 360 degrees
Pressing toggles the focus between the Input Bar and the Graphics View
Improvements to the way translation works
Dynamic colors (Properties -> Advanced tab). Set a function with range [0,1] for each color component (red, green, blue)
Option for the grid to be bold
Thumbnail saved in GGB files.
Worksheets resized if they were saved on a larger screen
Isometric grid
Comparing objects of different types doesn’t return an error, can now compare Text and Image objects
If the Points Export_1 and Export_2 exist, they will be used to define the export rectangle (Export_1 and Export_2 must be within the visible area)
Checkbox now consistent across all platforms
Options -> Checkbox Size -> Regular/Large
Perpendicular check added to “Relation between two objects” Tool
Messages from “Relation between two objects” Tool rewritten
Angular Bisector Command and Tool renamed to Angle Bisector
Line Bisector Command and Tool renamed to Perpendicular Bisector
BMP import
Unicode fonts used in LaTeX equations
LaTeX equations exported at full resolution
in SVG and PDF export, option to export text as editable text or shapes. Stores the text either as text (lets you edit the text in eg InkScape) or as bezier curves (ie guaranteed to look the same even if the correct font is not installed).
support for inline equations and linefeeds in LaTeX eg “if x=9 find $ sqrt{ x } $”
Angle entered in rotate dialog box is remembered (if it is in degrees)
Show All Objects in Graphics View menu
Option for up to 15 decimal places
x^0, x^1, x^7, x^8, x^9 now displayed nicely
PGF/TikZ export
added degree symbol to axes units
new command-line parameter: –antiAliasing=off
defines e to be the Euler number when used in expressions (unless it has already been defined to something else)
templates for 2×2 and 3×3 matrix in LaTeX drop-down menu
Option to display numbers as Significant Figures (3,5,10,15)
New options Edit -> Select Descendents/Select Ancestors
Double-click on an object in the Graphics View opens the redefine dialog, which now has a button to open the Properties dialog as well as ‘OK’ and ‘Apply’ buttons
“Input Field” renamed to “Input Bar”
“Algebra window” renamed to “Algebra View”
“Graphics window” renamed to “Graphics View”
Algorithm to decide which point to select added (rather than popping up a menu)
Points in the form (a, b), (a + c, b + d) and (a + x(A), b + x(B)) are draggable (the variables a & b are updated accordingly)
Ctrl + to zoom in, Ctrl – to zoom out
New menu option “Recompute all Objects (F9)” which updates all the random numbers
Set point style for lists of points
Set line style for lists of lines
Set filling style for lists of eg circles, polygons
Set text style for lists of texts
Animation of sliders
f'(x) is automatically named f'(x) [ ie you can type just f'(x) rather than f'(x) = f'(x) ]Shift-right drag will now allow a zoom that allows the aspect ratio to change
you can now set the line thickness of polygons created with eg Sequence[Polygon[(i,i),(i+1,i),(i+1,i+1)],i,1,3]polygons can now have line thickness 0 (ie no edges)
In Captions, %v is replaced by the value and %n by the name, eg “The value of %n is %v”
Captions can now be surrounded by … or … to get bold or italic
Alt-click or F3: copy definition of selected object to the Input Bar
F4: copy value of selected object to the Input Bar
F5: copy name of selected object to the Input Bar
Alt-scroll wheel: accelerated zoom
Alt-dragging a selection rectangle puts a list of the objects selected in the Input Bar
Hold down Alt when drawing a Line, Segment, Ray or Vector forces the angle to be a multiple of 15 degrees
File -> Open shows a preview image when available
Properties -> Color shows the color as an RGB triple in the preview pane eg (0,0,255)
Area[Arc], Perimeter[Arc] work (treating the arc as a segment)
sin(π x) now prints the π nicely
Objects are now redefined from the input bar eg A = Point[f] then A = (1,2) will now make A a free object
Shift-double-click on a point on line/circle/function/etc in the Algebra View will allow you to set the coordinates without redefining it
Record to Spreadsheet Tool: you can now alt-click on a Point, Vector or Number to have its value(s) copied into columns A and B
\n replaced by newline in texts eg Text[“GeoGebra\nRocks”,(3,4)]can’t have functions called sin, cos etc
New point styles (plus, diamond, triangles)
Size of the drawing pad in pixels can be obtained with pixelsWidth = x(Corner[5]) and pixelsHeight = y(Corner[5])
Export to Google Gadget and MediaWiki

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