WWW.GEOMECA.COM       GEOMECA

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Home: WWW.GEOMECA.COM English Home : GEOMECA (Geometric calculator)Introduction on GEOMECAHow to use: Here, we can learn how to use the scientific calculator software GEOMECA (Geometric calculator)Sample: Graph, Calculation: GEOMECA (Geometric calculator), which is Scientific calculator software, performs calculation such as statistics, matrix, differention, complex numbers, integral, etc. and draws graphs of functions.Products: GEOMECA (Geometric calculator)Catalog of GEOMECA (Geometric calculator) which performs calculation and draws graphs of functionsNotice (Bulletin)

 

How ot use (Manual for the software GEOMECA 4e )

 

 What can this program do?

 How can  this program be applied?

Summary of function of Version 4..0?

How to use (Simple explanation)

 

How to use:

 

 

The 1st: Drawing the graph of functions; 1 - line, point, cylindrical unit

 

 

   Two regular octahedrons

   - Ray trace

   - opacity, semitranceparancy

 

The 2nd: Drawing the graph of  functions; 2 - a function defined by intervals

 

The 3rd: Drawing other graphs; 3 - using figure tools

 

The 4th: Drawing the graph of  functions; 4 - surface

 

The 5th: Drawing other graphs; 5 - pentagonal prism (using commands)

 

The 6th: Trace of fucntion values of a curve or a surface

 

The 7th: Drawing a graph by transforming

 

The 8th: To use the collection of executed formulas and a picture collection screen; 1

 

The 9th: To use a picture collection screen; 2 and print, save

 

The 10th: Making lines to be rotated using the muli-line of figure tools and makiing a body of rotation

 

The 11th : To use differentiation

 

The 12th: To use complex numbers, integral, parametric (multivariable) function formulas, scientic calculation and other calculations

 

The 13th: To use matrix calculation

 

 

The 14th: To perform statistical calculations

 

 

The 15th: To draw included functions; To apply the basic editing of pictures

 

 

   Function (Picture explanation): What's new in version 4.0 ?

Function

Expression input

Rectangular coordinates

Curve

2 dim

Negative f(x,y)=0

 3-dimensional solid curve can be made.

  3-dimensional surface: perfectly

Surface

3 dim

Negative f(x,y,z)=0

Polar coordinates

Curve

2 dim

Negative   f(r,u)=0

Sphere coordinates

Cylindrical coordinates

Curve

3 dim

Parametric r=f(u): p=g(u):  z=h(u)

Surface

3 dim

Parametric r=f(u,v): p=g(u,v):  z=h(u,v)

Other figures

Curve

2,3 dim

 Command

Surface solid

2,3 dim

 Command

Figure Tools: Drawing things such as basic figures, functions, quadric curves, etc. in 2- or 3-dimensional coordinates by using the mouse.

A body of rotation - Rotating lines that are drawn by the function-expression or figure tools or commands.

  Making a body of rotation centering around  the rotation-axis which is the axis of x, y, z or any line or the line through two points  appointed by the angle and subdivision.

The drawing screen

Adjusting the size of coordinates region

 2-dimensional coordinates

The method displaying 2- dimensional coordinates

Displaying the polar coordinates

Displaying the arrowheads: auto-option

Displaying  the origin, axis, coordinates values

 auto - option

The method displaying 3-dimensional coordinates

Drawing the space-frame, the coordinates-axis

3D

Displaying a full line or a dotted line of  the space- frame temporarily

(Not) displaying middle lines of the surface of the space-frame

Making selected items be continuously seen when we let the space-frame be rotated (animation)

Displaying coordinates values

auto - option

Equally dividing interval of variable range; adjusting subdivision of figure for velocity, accuracy, good picture

4.0 can re-adjust  the rectangular region with the mouse

Drawing method

curve

point unit

surface unit

cylinder unit (hidden surface removal)

rectangular, cubic unit

ray trace

a body of rotation (hidden surface removal)

a body of rotation ( surface unit)

surface

point unit

line unit

only toward one variable direction

negative - cross section perpendicular to the x-axis

negative - cross section perpendicular to the y-axis

negative - cross section perpendicular to the z-axis

surface unit

hidden surface removal

cubic unit

ray trace

color of solid surface

 

by black, white

by the color of dialogue box (appointed color)

by brightness

by illumination

by the color of dialogue box (appointed color( not  to distinguish faces)

transparently (distinguishing face)

shape of solid surface

 

Triangle -The polygon is subdivided to triangles.

Polygon - leave as it is.

illumination - in case of drawing  3-dimensional solid,  direction of light and intensive of light is adjustable.

          also appointing the effect of shadow,  transparency of light  and the index of refraction and the ratio of reflection.

appointing the color

background of 'the drawing screen', coordinate axis, internal color of figure

section coordinate, coordinate scale - appointment, auto option

separately appointing color of character in 2D or 3D screen.

appointing line-thickness

thickness

Graph or figure, coordinate axis, space-frame

8 ~ 14

section coordinate, coordinate scale - appointment, auto option

length

coordinate scale - appointment, auto option

type

 a dotted line

picture collection screen

In case of saving pictures by gcg file , the bmp files is saved in the folder which is made below the gcg file..

  (Management  becomes convenient.)

Making the 'temporary graph memory display window' or  the contents above it  to be seen in a big window

function

inverse trigonometric function, hyperbolic function, inverse hyperbolic function, sgn, conj

Calculation

Top

Single Integral (indefinite integral)

differentiation(derivative), high order differentiation, partial differentiation

differential coefficient, high order differential coefficient , partial differential coefficient

in the field of complex numbers - included complex operation and function

calculation without regard to ciphers - decomposition to prime factors, nPr, nCr,  nHr, n!, +,-,*,/, sqr

Matrix - sum, difference, product, scalar  multiple, inverse matrix, determinant, cofactor matrix, transpose matrix, the echelon matrix, the solution  of linear equation, alternating product

statistic analysis