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{{Infobox Software
|name                      = DrGeo
|logo                      =
|collapsible                =
|author                    = Hilaire Fernandes
|released                  = {{Start date|1996|12|31}}
|latest release version    = 11.12
|latest release date        = {{Start date and age|2011|12|10}}
|latest preview version    =
|latest preview date        = <!-- {{Start date and age|YYYY|MM|DD}} -->
|frequently updated        =
|programming language      = [[Pharo]]
|operating system          = [[Linux]], [[Mac OS X]], [[Microsoft Windows|Windows]]
|platform                  =
|size                      =
|language                  =
|status                    = Active
|genre                      = [[Interactive geometry software]]
|license                    = [[GPL]]
|website                    = {{URL|http://www.drgeo.eu}}
}}
'''DrGeo''' is a free (under [[GNU GPL]] license) software, created by Hilaire Fernandes for the ''Ofset''. As its names suggests, it is a geometry software. It runs over [[GTK+]] interface.
 
== Objects ==
=== Points ===
 
DrGeo has two kinds of points: A free one, which can be moved with the mouse (but may be attached to a curve), and a point given by its coordinates.
 
There is also the [[Line-line intersection|intersection]] of 2 curves and the [[midpoint]] of a [[Line segment|segment]].
 
=== Lines ===
 
DrGeo is equipped with the classic [[line (geometry)|line]], [[Line (mathematics)#Ray|ray]], [[Line segment|segment]] and [[Euclidean vector|vector]].  
 
There are also the circle (defined by 2 points) but also the less classic arc by three points. DrGeo can also construct polygons (given by points) and [[locus (mathematics)|loci]].
 
=== Transformations ===
 
Besides the parallel and perpendicular line through a point, DrGeo can apply to a point one of these transformations:
 
# reflexion
# symmetry
# translation
# rotation
# [[homothety]]
 
=== Macros ===
 
When some objects, called ''final'' depend from other objects, called ''initial'' it is possible to create a new transformation sending the initial objects to the final ones. This is a [[macro (computer science)|macro]]. It allows to add new objects to DrGeo like regular polygons or new transformations like [[circle inversion]].
 
== Scripting ==
 
DrGeo comes up with a script language, which is [[Scheme (programming language)|Scheme]] (a [[Lisp (programming language)|Lisp]]-like language).
 
=== Scheme object ===
 
It is possible also to create a ''Guile'' object, which is a number, but created with a script, written in the [[Scheme (programming language)|Scheme]] syntax. It can have one or several variables, which are chosen at the creation of the object, with mouse clicks. The names of the variables are ''a1'', ''a2'' etc. For example, if one wants the square of a number ''a1'', the script
 
<source lang="scheme">
(define x (getValue a1))
(* x x)
</source>
 
creates a numeric object, whose value is the square of the first number. If now the first number is changed, the second one changes too.
 
If now one wants to implement the square of a complex number, one has to create 2 numeric values, one for the real part, and the other one for the imaginary part. As <math>(x+iy)^2=x^2-y^2+i(2xy)</math>, the script for the real part is (once one has selected a free point)
 
<source lang="scheme">
(define x (car (getCoordinates a1)))
(define y (cadr (getCoordinates a1)))
(- (* x x) (* y y))
</source>
 
and the script for the imaginary part (with the same point selected):
 
<source lang="scheme">
(define x (car (getCoordinates a1)))
(define y (cadr (getCoordinates a1)))
(* 2 x y)
</source>
 
''getCoordinates a1'' yields a list because ''a1'' is a point, which has 2 coordinates. The [[CAR and CDR|CAR]] of this list is the first coordinate, which is the [[abscissa]], and the [[CAR and CDR|CADR]] of the list (the [[CAR and CDR|CAR]] of the [[CAR and CDR|CDR]]) is the second coordinate.
 
Once this is done, it remains only to create a point which coordinates are the two numbers created by scripts, and a transformation is defined; it implements the function <math>\C \rightarrow \C, z \mapsto z^2</math> and can be transformed into a macro.
 
=== Scheme-generated figure ===
 
The [[GNU Guile|Guile]] object can only create one number, then if one wants to create a complex figure by a script, one has to write the script with a text editor, save it with the ''scm'' file extension, then make ''DrGeo'' evaluate the file.
 
Here is how DrGeo can create a [[Sierpinski triangle]] recursively:
 
<source lang="scheme">
(new-figure "Sierpinski")
(define (sierpin p1 p2 p3 n)
 
(let* (  
     
    (p4 (Point "" milieu-2pts p2 p1))
    (p5 (Point "" milieu-2pts p2 p3))
    (p6 (Point "" milieu-2pts p3 p1))
 
    (q1 (Polygone "" npoints p1 p4 p6))
    (q2 (Polygone "" npoints p2 p4 p5))
    (q3 (Polygone "" npoints p3 p5 p6))) 
 
    (if (> n 1)
    (begin
    (envoi q1 masquer)
    (envoi q2 masquer)
    (envoi q3 masquer)))   
 
    (envoi p4 masquer)
    (envoi p5 masquer)
    (envoi p6 masquer)
   
    (if (> n 0)
    (begin
    (sierpin p1 p4 p6 (- n 1))
    (sierpin p2 p4 p5 (- n 1))
    (sierpin p3 p5 p6 (- n 1))))))
 
(soit Point "A" free -3 -1)
(soit  Point "B" free 3 -1)
(soit Point "C" free 0 3)
 
(sierpin A B C 5)
</source>
 
==See also==
* [[Compass and straightedge construction]]
* [[Interactive geometry software]]
 
==External links==
*[http://www.drgeo.eu/ Official website]
*[http://www.drgeo.eu/download-install Download source code and Windows, Linux and Mac versions]
 
[[Category:Free interactive geometry software]]
[[Category:Free educational software]]

Latest revision as of 12:12, 17 November 2014

We reserve the right to include advertising on our site, including Kontera links and Google Ads. Most companies offer their services online, thus you will easily find these services by just surfing the Internet. In writing College Application Essay, the students may also tell about themselves that will capture the attention of the readers. We strive to be a world essay writing company through providing quality services at a price which is equivalent with our services. After jotting down all the points they should be elaborated throughout the content.

Custom essay writing services delivers referenced essays. , officially abbreviated PSP) is a handheld game console manufactured and marketed by Sony Corporation Development of the console was announced during E3 2003, and it was unveiled on May 11, 2004, at a Sony press conference before E3 2004. Even the last moment suggestions of the students are not ignored. Colleges can ask many kinds of short questions and writing supplements will differ. They should be followed and tweaked so that you are producing the quality content your readers deserve.

At the same time, you will be assigned one writer or a team of writers, according to the difficulty of your project and the time frame you want it done in. Reliable Legitimate Philosophy Essays Writing philosophy essays requires someone who is trained and has experience in the topic that has been selected. Essay writing in the university will enable students to develop research techniques. Clients are assured to get all writing services regardless of their geographical locations since nowadays internet can be accessible in any corners of the planet as long as there is an internet connection within the client’s locale. To assist you in your work, this brief article will show you how to write an essay.

Continue until your piece is convincing and memorable. Here in this article you can get some of the important tips that can help you to write an effective essay; effective in the sense that the reader will get attracted towards the writing, so your writing should be in so much expert format. This is carried out in order to make sure that the essays have acquired the expected high quality standards. Essay writing is a major constant in a students academic life. For your assistance, we have divided the formula into eight paragraphs that will be consuming assumable 2000 words.

Write a quick schedule to help you allocate your time wisely: list the days you have left and the time during the day you will be able to work. The company has employed professional company writers who are trained on how to write academic documents in all academic areas. If you liked this report and you would like to get more info relating to buy local essay kindly go to our own web site. As a result, they have to source for help in essay writing. Our essay writing website is the best original essay writing service one can come across while searching for original papers, original essays, original term papers, original research papers, original academic papers, original thesis papers or original English essay writing. You should conclude the essay by focusing on the main purpose of the essay.

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