“GInMA brief user manual”
Contents
1. determine the Angle symbol so that first point is located on the side of the angle second point is located at the vertex and third point is located on the second side of the angle For the right angle the symbol changes the shape AOON o The Ellipse 2D defined by three points First two points become focuses of the ellipse third point is located on the ellipse Internal shaded part of the Triangle with the vertices at three given points is constructed Internal shaded part of the Polygon with the vertices at the parent points is constructed To complete the construction you need to click on last point while pressing Control button If points don t lie on one plane the image does not arise The Plane 3D is constructed through three points and is represented as a standard parallelogram So the point of intersection of a line and a plane would not necessarily be in the image of the plane ia Perpendicular plane 3D is constructed perpendicular to the object a segment a vector a ray or a straight line and contains the parent point O A sphere is made with the use of two points First point becomes the center of the Sphere second point lies on the sphere Fi Circular cylinder contains parent circle as one base The parent point is the center of another base circle Conical surface has the circle as the base and has the apex at the parent point Text is located to the right of parent point Text may contain2. Active point can be moved using the mouse Active point may be placed on an object a segment a sphere a polyhedron a plane a graph of function and so on New point arises at the intersection of the line and the object If the intersection is seeming for example skew lines intersection point would not arise If the line and the object intersect more than at one point a point appears closest to clicked place d The segment connects parent points First point is the beginning of the segment second point is the endpoint S The Vector connects parent points The Ray connects parent points First point is the beginning of the Ray passing through second point Va Straight Line 1s constructed passing through two points X Perpendicular line 1s the straight line passing through the parent point and the object a subset of a plane or a sphere Straight line is perpendicular to the object at intersection point Construction will be done only if the line has a common point with the object N a This is the two points Circle first point becomes the center of the circle second point lies on the circle O x This is the Circle passing through three points ee First point of Circular arc becomes the circle center Second point is the beginning of the arc The arc end is on the ray conducted from first point to third point GInMA construct a smaller lt 180 of the two possible arcs o O Sp Three points
3. GInMA Brief User Manual Concept InMA project is aimed on research and in depth study of mathematics in general and geometry in particular GInMA allows creating 2D and 3D math images GInMA single step system allows us to show on a screen all the steps of the solution Ideology of the project provides wide opportunities of a screen image movement created by a user to keep pace with understanding of the material Users unfold drafts in such a way and as many times as they want GInMA contains rich and constantly growing GInMA Library of educational materials It has almost 1 000 interactive files Every illustration in interactive thematic teaching aid is a kind of a button and static geometric figure you clicked becomes the interactive draft in GInMA file Active points and perspectives useful for problem solving are shown there Demo version is available for any user Demonstration mode allows free access to all GlnMA Library files However in this mode you can see in some interactive files only the first step You can perform any construction but you can t save it for reuse If you purchase GInMA and want to create your own library you have to do the following sequence of steps Create a folder and save there the selected files using Save as of drop down menu File Double click on one of the selected files In menu Open with select Choose Program and look for GInMA Check the box Always use the selected program to open this kind of file
4. You must do this once Basics of working with draft A draft may be two dimensional containing only two dimensional objects three dimensional containing only three dimensional objects or two dimensional and three dimensional containing both types of objects Objects in the draft are points lines spheres etc Let some object be created with the participation of second object Then the first one is called a child and the second object is called a parent For example if we construct a segment through two points the points become the parents of the segment the segment is their child That is if we modify the object then this could change all of its children Let a certain draft be opened Then exactly one tool from toolbar is selected at any given time and it determines which actions can be performed in the draft To perform an action in addition to the tool selection you need to select some objects in the draft such a choice is done by clicking the left mouse button on the image of the object or click on empty space in the draft Active point is a main element of control in an interactive draft It is represented by a small circle of dark red color To move active point you must choose the tool Move active points of tab Control on toolbar Capture the active point by clicking on or near it at the same time pressing the left mouse button and drag the active point while holding down the left mouse button When you rele
5. ase the mouse button you ll end up active point moving 3D image rotation To rotate a three dimensional draft click anywhere in the work area by the right mouse button and slide the mouse pointer The rotation is available regardless of the chosen instrument Toolbar Tab Controls ee Controls Basic construction Analytic construction Transformations ZY Fe To move active point click the left mouse button near it hook it and move the mouse To see or change Properties of an object use panel Object properties in which you can change the name of the object its visibility its color line thickness specifying expression Choose an object and change text in corresponding fields of the appearing panel This action Removes the object Select the object to be removed Together with the object all of its children are removed Therefore remember about the possibility to undo the action Tab Basic construction E Controls Basic construction Analytic construction Transformations ee OJAT This tab contains the tools for creating basic objects To perform the construction of the object you need to activate the tool by clicking on its icon and select the parents of the object by clicking on them The parents are named in the description below When constructing the object you must choose the parents strictly in order they are listed in the description This tool creates active point
6. evaluated expression Panel Construction step 1 Step 1 of 7 q The structure of the panel Slider allows us to choose an arbitrary step Button with an arrow directed to the left allows us to go to the previous step Button with an arrow directed to the right allows us to go to the next step Panel General properties General properties Hidden object Visible from step 1 To step 0 to end lo This panel allows us to set and change all properties of the object Open the draft Click the button Properties of tab Controls from toolbar select some object by clicking on it and the panel General properties opens on the screen Use GInMA and take pleasure
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