The ability to build regular polygons is necessary for any expert by the nature of the activity connected with drawing or geometry. It is possible to construct a dodecagon by means of ordinary drawing tools in at least three ways. Computer programs allow to make it in several minutes.
It is required to you
- - paper;
- - compasses;
- - protractor;
- - ruler;
- - pencil;
- - calculator;
- - computer with the AutoCAD program.
Instruction
1. The first "classical" way consists allows to do without compasses. Put the end to a leaf and draw through it any straight line. The point can be designated somehow. For example, it can be O.V point one of the parties postpone from it a piece of any length. Designate it as OA.
2. Divide 360 ° into 12. ° postpone the received size in 30 from OA piece, having combined zero division of a protractor with a point of the Lake. On the received beam postpone the size equal to OA piece length. In the same way postpone a corner in 30 ° and from this new piece. Continue construction, postponing the corner size from each new line. Connect final points of all pieces straight lines.
3. Much more exact construction can be executed by means of compasses. Draw a circle with the center in O. Oboznachte's point on this circle any point. For example, let it will be A. Provedite's point through it radius.
4. Part compasses legs at circle radius length. Put a needle of the tool in a point And. On a circle make mark B. Rearrange compasses in this point and make one more mark C in a circle. Repeat operation until divide a circle into 6 equal parts.
5. Connect marks in a circle pieces. At you the correct hexagon turned out. Halve each its party and to the received point carry out a perpendicular. Perpendiculars need to be prolonged that they crossed a circle. At you 6 more points will turn out.
6. Much more exact construction can be executed by means of compasses. Draw a circle with the center in O. Oboznachte's point on this circle any point. For example, let it will be A. Provedite's point through it radius.
7. Connect the received points to the next tops of the correct hexagon. At you it turned out correct dvenadtsatiugolnrik. Excess lines if necessary can be cleaned.
8. It is possible to construct the correct dodecagon by means of compasses and differently. Begin with creation of a circle. Draw 2 diameters perpendicularly each other. If you make final points of everyone the centers of new circles of the same radius, then the initial circle will be divided into 12 equal parts. You will need only to connect the next tops pieces.
9. The correct dodecagon in the AutoCAD program is under construction by means of the Polygon team, it is polygon. It can be entered into a command line (Latin, and before team puts the _ badge. You will see a window into which it is necessary just to enter number of the parties. The corresponding tool can be found also in the toolbar on a desktop or through the Drawing tab in the main menu.
10. The program will suggest you to define a way on which you will build a dodecagon. In AutoCAD any polygon can be drawn on length of the party, the center and radius of the entered or circumscribed circle. Choose necessary.
11. If you build a dodecagon on one of radiuses, specify the center of a figure. It can be done, having set coordinates or having noted the necessary point click of a mouse. Specify, circle what radius to you is set, and enter the necessary value.