GEUP
Explore geometry and create interactive and
dynamic math calculations and visualizations
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Documentation - Basic concepts

Table of contents

1.1 Overview

GEUP provides a visual and interactive environment to create dynamic and general geometric constructions. GEUP allows the manipulation of the construction visually (directly in screen) and it calculates each one of their particular cases in real time. The ability to define elements not only geometric allows to use the construction concept of the program in different areas of Mathematics as Calculus, Algebra, etc.

The fundamental thing is that you can modify the position and other geometric properties of the elements of the construction. The established mathematical relationships between the elements through the construction tools will be preserved: when an element is moved, the construction will be reformed by maintaining these relationships. This property is the most important feature of GEUP: you can obtain many particular cases of a construction quickly, being able to verify geometric properties about any construction.

It is possible to study problems of Analytic Geometry: it calculates the coordinates of points and the equations of lines and circles, being able to work with any number of coordinate systems simultaneously. The capability to define, combine, evaluate and plot functions enhances its application in other areas of Mathematics. Through the use of macros you will be able to abbreviate the construction process. The capability to define animations adds a new dimension to study and visualize the construction. You can modify the appearance of any element of the construction.



1.2 Moving elements

To move and/or edit the elements of the construction, activate the option [Edit][Move or edit element] or click on its button on the main toolbar.

To edit an element, you must detect it and click with right button. The edit box of the detected element will be activated.

To move an element, detect it (if is possible to move it the cursor changes to ), click and move it.



1.3 Elements appearance

The appearance of the elements is defined by its color, shape (the names, text and numbers by its fonts), by its name and visibility.

Visibility: You can set each element of the construction as visible or hidden. To view the hidden elements activate the option [View][View hidden elements] or click on its button on the main toolbar, the current hidden elements will be shown on screen with the color set on the General options. You can change the visibility of an element by activating the option [Edit][Hide/View] or click on its button vnvbot (1K) on the edit toolbar. You can use this property, for example, for not seeing some intermediate elements of the construction.

You can change the appearance of an element in two different ways:
a) By activating the tools of change of color, shape and visibility (on the edit toolbar), and detecting and click on the element to modify.
b) Through the edit box of the element. If you want to add a name to an element, you must activate the edit box of the element to name.



1.4 Deleting elements

You can eliminate an element in two different ways:
a) Activate the option [Edit][Eliminate element] or click on its button on the edit toolbar and detect and click on the element to eliminate.

b) Through the edit box of the element to eliminate.

If an element is eliminated, all the elements that depends on it will also be eliminated.



1.5 Edit box

You can change the color and shape of an element, set its visibility, eliminate it and name it with the edit box.

You can activate the edit box in two different ways:
a) If the option [Move or edit elements] is activated, detect and click with right button on the element to edit.

b) Activate the option [Edit][Edit box] or click on its button on the edit toolbar or with the keyboard [ctrl][E], detect and click on the element to edit.



1.6 Parametric colors

It is possible to assign the color (or fill color) of an element using a number (parameter). This number represents a color defined by the following dialog box of the parametric color.
The fractional part ( 0 <= P < 1 ) represents the color.

colpar_diag (11K)

We can begin the assignment of the parametric color of an element in two different ways:
a) Opening the color box in the edit toolbar and selecting the button to edit the parametric color or the parametric fill color of the element.
b) Through the edit box of the element and selecting the button .

To construct
1º Detect and 'click' on the element to assign the parametric color.
2º Detect and 'click' on the number (parameter).



1.7 Font

To change the font of an element.
1º Select the button in the edit toolbar.
2º Detect and 'click' on the element.
3º Select the font and 'click' on OK.

To change the font of several elements.
1º Select the elements.
2º Activate the button in the edit toolbar.
3º Select the font and 'click' on OK.



1.8 Moving across the plane

If you want to view all the defined plane or you need to select an element of the construction that is outside of the limits of the screen you have two possibilities:

· To move the screen, click with right button on an unocuppied area and drag.

· You can activate the window 'Move the screen' with the menu option [View][Move the screen] or click on the button on the toolbar or with the keyboard [shift][M]. The plane will be shown. You can change its size with the trackbar. To move the screen detect and click on the rectangle that represent it, drag it to the required area and press [OK]. Press [Cancel] to return to the initial position.



1.9 Zoom

Activate the button or the menu option [View][Zoom].

'click' on the plane (zoom center), move up the pointer to enlarge and down to reduce. To move the screen use the right button.


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