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英壬画板

inRm3D Sketchpad

2016.06.16


  这是一个三维仿真的几何学教学工具。凡能用几何语言或几何方程表达式描述的三维几何形体,都能方便的制作、编辑和演示。三维场景中的几何形体就象悬浮在空中的实物模型,可随意调整视点和景深。

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This is a 3D geometry classroom teaching tool. With the inRm3D, 3D geometric model of geometric language describing can be easily created, edited and displayed.

In the inRm3D, the 3D geometric model of the scene as suspended in the air in kind, is free to a different point of view, depth of field and perspective observation.


作图功能简述

Drawing Function Description

Points

自由点

Free Point

三维坐标系中任意位置的点。

The point at any position in 3D scene.

约束点

Bound Point

受另一个几何构件(直线、圆、圆弧、平面、球面、轨迹线、曲线等)约束的点

The point bound by another component (line, circle, arc, plane, ball, edge of the polyhedron, locus, curve, etc.).

交点

Intersection Point

两个线状构件(直线、圆、圆弧、轨迹线、相贯线、曲线、路径等)的交点,线状构件与面状构件(平面、三维实体、曲面等)的交点

The intersection point of two linear components (line, circle, arc, locus, curves, intersection lines, paths, etc.), linear and planar intersection (plane, solid, surface, etc.).

中点

Midpoint

两个构件(点、直线、平面等)间距之中点

The midpoint between two components (point, line, plane, etc.).

直线

Straight Lines

点向线

Vector

以一个点状构件和两个方向角定义的直线

The vector line defined by the origin and tow angles. 

两点线

Segment

以两个点状构件定义的直线

The segment defined by two points.

平行线

Parallel Line

与给定直线平行的直线

The vector line parallel to a given line.

垂线/切线

Vertical/Tangent Line

与给定直线或平面垂直的直线

两直线的公垂线

与圆、轨迹线、函数曲线、圆锥曲线等的切线

两圆的公切线

The vector line vertical to a given line or plane.

中线

Bisector

两直线、或直线与平面的角平分线

The bisector line defined by two lines, or by a line and a plane.

曲线

Curves

点法圆

Normal Circle

由圆心和法线定义的圆

The circle defined by the origin and a normal line.

三点圆

3-Dot Circle

由任意三点定义的圆

The circle defined by three points. 

点法弧

Normal Arc

绕任意直线的圆弧

The arc defined by the origin and a normal line.

三点弧

3-Dot Arc

由任意三点定义的圆弧

The arc defined by three points. 

相贯线

Intersection Line

两个面状构件之交线

The intersection line defined by two components of surface shape.

轨迹线

Locus

点状构件随其它构件移动而形成的轨迹

The Locus of a point following the movement of the other components.

曲线

Curve

由几何方程、参数方程、隐函数方程描述的曲线;

由任意三点定义的圆锥曲线(抛物线、椭圆、双曲线)

The function curves defined by geometric equation, and conics curves defined by three points.

路径

Path

由空间任意点和线状构件连接而成的曲线

The path defined by a series of points, lines and curves.

平面

Planes

点线面

Dot-Line Plane

过一点和一条直线的平面

The plane defined by a point and a line.

三点面

3-point Plane

过空间任意三点的平面

The plane defined by three points.

平行面

Parallel Plane

与已知平面平行的面

The plane parallel another plane through the origin.

垂面

Perpendicular Plane

与已知直线或平面垂直的平面;

两平面的公垂面

The plane perpendicular to another line or plane through the origin.

中面

Bisector Plane

两个构件(点、线、平面)之间的平分面

The bisector plane defined by two lines, or a line and a plane, or two planes. 

多边形

Polygon

正多边形

任意凸多边形

The polygon defined by some of given points.

曲面

Surfaces

函数曲面

Equation Surface

由几何方程、参数方程、隐函数方程描述的曲面

The curve surface drawing by equation function. 

旋转曲面

Revolved Surface

线状构件环绕轴线而形成的曲面

The curve surface generate by linear component revolve the axis.

直纹曲面

Ruled Surface

用直线均匀滑过两条曲线而形成的曲面

A linear component glide on two curves to construct the surface.

轨迹面

Trace Surface

线状构件(直线、圆、圆弧、轨迹线、相贯线、曲线、路径等)随其他构件位移而形成的曲面

The locus of linear component movement follow the other components.

实体

Solids

Sphere

以球心和中轴线定义的球(椭球)

The sphere defined by center point and the normal component.

圆台

Cone

以下底圆心和中轴线定义的圆台

The cone defined by bottom center and the normal component.

棱台

Pyramid

以正多边形为下底的棱台;

以任意凸多边形为下底的棱台

The pyramid defined by bottom center and the normal component.

多面体

Regular Polyhedron

以外接球心和中轴线定义的正多面体;

长方体;

任意凸多面体

The regular polyhedron defined by center point and the normal component.

变换

Traslates

位移变换

Displacement

源构件位移后的映像

The copy component of the source component defined by 3D relative displacement.

投影变换

Projection

源构件在直线或平面上的投影

The projection of the source component.

对称变换

Reflection

源构件对称于镜像构件的映像

The Symmetrical component of the source component.

旋转变换

Rotation

源构件围绕轴线旋转后的映像

The copy component of the source component rotation the axis.

缩放变换

Dilation

源构件相对于缩放点的缩放映像

The dilated component of the source component.

向量变换

Translation

源构件按指定矢量位移的映像

The copy component with the source component along the vector.

反演变换

Inversion

由反演中心和反演率定义的反演映象

Defined by a center point of the inversion and a  inversion ratio.

迭代

Iteration

将可见构件序列按一定的迭代规则反复变换后的映象

Copy the components repeatedly according to a certain transformation rules.

其它

Others

计算器

Calculator

显示计算值。支持十一个一元计算函数、七个二元逻辑函数、九个三角函数

Support eleven unary calculate functions, seven binary logic functions, and nine trigonometric functions.

参数

Parameter

在指定位置显示常量参数

Show the const parameter.

度量

Measure

在指定位置显示度量值。度量并显示构件的长度、面积、体积、斜率、坐标,及相互间的距离、角度、比值等

Measure and show some properties of the selected component. You can measure numeric properties, also measure analytic properties.

文本

Text

在指定位置显示文本

Show the text.

图像

Image

在指定位置显示图片

Show a image.

标记

Marker

标记线状构件或角度

Mark the linear components or their angle.

inRm (上海) fangxq@live.cn

沪ICP备09038551号 2009年6月10日