octagon geometry

A lot of students in the study of geometry will use a number of auxiliary tools, geometric artboard is one of them . It is often used to draw various geometric shapes, even some dynamic ones, such as triangles, circles, polygons, and so on. Using the geometry artboard to draw some basic graphics is actually very simple, if not, you can also learn about the tutorials. Here's a tutorial to share how to draw a

In the geometry artboard, the function editor can not only use the basic functions of the system to edit functions, but also perform complex function calculations and draw the image of complex functions. The following is a description of the image of a composite function of a geometric artboard .For example, a known function f (x) =x3-2x-1, drawing an image of two functions f (x) and F (x2).　　The steps are as follows:1. Select "Data"--"new function",

Go from "translation" Nehe OpenGL tutorialObjectiveStatement, this Nehe OpenGL tutorial series of articles by 51 blog yarin Translation (2010-08-19), this blog for reprint and a little collation and modification. Thank you for compiling Nehe's OpenGL pipeline tutorial, as well as yarn translation finishing.Nehe OpenGL Lesson 18th: Two geometryTwo times geometry:With two times of geometry, you can easily create balls, discs, cylinders and cones.Two-ti

Many users of the geometry artboard will not only use panning, rotation, zooming, reflection, and iteration, but can also create a new change rule to satisfy the transformation of their own implementation if there is a need for a custom transform. This is actually a custom transformation. There are many examples of custom transformations, and the following is an example of how to create a glide reflection transformation using the

In the geometry of the drawing and drawing on the blackboard and the paper is not the same, there is no direct use of the eraser or the blackboard wipe to erase the picture, but in the geometric artboard if you draw the wrong picture or do not need a graphic, you can not let it show, so it does not hinder the continuation of the drawing. The following is an example of how to remove a drawn segment in a geometric artboard for detailed introduction.Meth

The geometric sketchpad can be used to reveal the dynamic geometric problems, but the presentation function is relatively inferior to that of PowerPoint. If the two can be combined, their performance will be more satisfying. After a few attempts, I found a way to invoke the geometry artboard file in PowerPoint as follows: 1. First in the geometry of the artboard to make a file such as: Example 1.GSP. 2. S

to rotate a point around another point in a geometry artboard tutorial The specific steps are as follows: Step one assumes fixed point is a, need to rotate point of B, select "Point Tool" in the artboard blank area draw point A, B; the angle of the mark is the ∠MOP that exists in the drawing area, select the line segment tool to draw any ∠mop in the blank of the artboard. Geometry artboard S

) {if(X[i]==x[j] and y[i]==Y[j]) {Same++; Continue; } fraction k; K.son= ABS (Y[j]-y[i]);//No, no--K.mom = ABS (x[j]-X[i]); Scopes[len++] =K; } //sort O (NLGN)Qsort (Scopes,len,sizeof(fraction), cmp_fraction); //calculation frequency up to O (n) intMaxFreq =1; intFreq =1; for(intj =1; J j) {if(scopes[j]==scopes[j-1]) Freq++; Else{//it's broken. if(freq>maxFreq) MaxFreq=freq; Freq=1; } } if(freq>maxFreq) MaxFreq=freq; Freqs[freqs_len+ +] = Ma

vector OPI and OPJ is greater than 0, then the vector opj is in the counterclockwise direction of the vector OPI, that is, the point PJ is less than the dot pi.According to Method 2, the code for sorting the polygon point set is as follows: 1 typedef struct POINT 2 {3 int x; 4 int y; 5}point; 6//If point A is greater than point B, that is, point A is clockwise in point B, returns True, otherwise false 7 bool pointcmp (const point a,const-b,const point center) 8 {9 if (a.x >= 0 b.x Resources:h

the subsequent point is guaranteed to be greater than the to time of the current time.PS: If the direct input according to double type will be reported time-out ....Code:#include #include#include#include#include#include#includeSet>#include#include#includestring>using namespaceStd;inlineDoublePow2 (Doublex) { returnx*x;}structnode{Double from, to;} t[100005];BOOLCMP (Node A, Node B) {if(A.to! =b.to)returnA.to b.to; Else returnA. from from;}intN, R, CNT, ans;intpx, py, PZ;voidWork () {

the cross product: 1: The result is that A and B form the parallelogram area of the adjacent edge. 2: The result has a positive negative, there is a sin (a, b) and its angle, the angle is greater than 180 ° is negative. 3: Cross product does not meet the Exchange lawApplication: (1: Through the results of positive and negative judgment between the two vectors of the cis-counterclockwise relationship if a X B > 0 means a in the clockwise direction of b if a x B (2: Judge the zigzag turn, can be

MySQL uses the WKB function to create geometry (geometric) values MySQL provides a number of functions that include a blob containing a wkt expression, or an optional space Reference System ID (SRID) as an input parameter. They return the corresponding geometric objects. GEOMFROMWKB () accepts any geometric type of WKB as its 1th parameter. Type-dependent constructors are also provided in the implementation to construct the geometric values of each

The specific steps are as follows: 1. Open the Geometry artboard software and create a new blank file. Draw a line segment AB in the appropriate area of the artboard using the segment ruler tool. Draw a segment AB using the line segment ruler tool 2. Double-click a set as the center of rotation, point B by center point a 120 degrees to get point B ', the same way to get other points, the use of "line ruler tool" connecting line segments, for

method to rotate a line around a point Step one draws a line ab in the geometry artboard using the line tool, and uses the Point tool to draw a point O anywhere outside the line, and double click on the point O (set it to the center of rotation); Step two Select Line AB, and then in the menu, select Transform--rotate--to enter the angle you want to rotate, and click Rotate. Method two generates a straight line around the point rotatio

Topic link Analysis See through the problem Considering every line segment that makes up the village, it is clear that we will see it in the half plane above the line where the line is located. Therefore, watchtower must be in the intersection of the half plane above the line where all the line segments of the village are formed, in order to From the top of watchtower, you can see anywhere in H village. Therefore, this problem is to seek the shortest distance from the ground of the village to

To give you illustrator software users to detailed analysis to share the drawing of linear fringe geometric art patterns of the tutorial. Tutorial Sharing: First, create art brushes To make a stripe pattern, the first thing we need to think about is what tools are used to achieve it more quickly. Because such as stripes, dots, squares ... This kind of basic pattern has the common character that repeats a certain visual law, therefore, we can first establish this visu

For each geometry, there are some common attributes, such as name, area, and so on, and the method of calculating the area is different. To simplify development, write a program that defines a superclass to implement the method of entering a name and uses an abstract method to compute the area. Thinking Analysis: The superclass is the abstract parent class, which has two methods to get the name of the graphic and the area of the graphic. To get the

Example description "How do I draw 2D graphics on and off the machine?" "This is a problem that many Android game developers are always talking about, and in the Android SDK, there is no Java graphics2d function to use, but instead use the classes below android.graphics to draw 2D vector graphs." This package provides a number of classes and methods for drawing graphics on the phone, where canvas, while the Paint (Android.graphics.Paint) class is like a colored pencil, giving different co-ordina

Topic link Pigs can ' t take a sudden turn Time limit:1000 Ms Memory limit:65536 KB problem Descrpition You maybe has aced a question about computational Geometry,which describes the dogs ' journey and calculate the shortest D Istance between them. Now, I provide a easier problem about the pigs. Heir Path is half-lines. When they start running, they won ' t stop. Why? Because they can ' t take a sudden turn. So, I provide the start points of both pigs

The problem of calculating geometry is very few and far between.Before WA thought it was the accuracy of the problem, later found that the situation did not consider the whole ... Topic Links: http://acm.hdu.edu.cn/showproblem.php?pid=5572 Test Instructions: Given the starting point A and direction V, the path encountered in the cylinder is refracted, asking whether it can reach the end of B. Analysis: The path is represented as a+t∗v A + t * V to get