technical drawing in photonics lesson 3 drawing of regular polygons. perimeter of a circle....

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Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the concerned sectors for educational and R&D activities related to the Hungarian ELI project” Dr. Zsolt István Benkő

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Technical drawing in Photonics Lesson 3 Drawing of a square The side is given

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Page 1: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical Drawing in Photonics

Lesson 3

Drawing of regular polygons.Perimeter of a circle.

TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the concerned sectors for educational and R&D activities related to the Hungarian ELI project”

Dr. Zsolt István Benkő

Page 2: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a squareThe side is given

Page 3: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a squareThe side is given

Page 4: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a squareThe side is given

Page 5: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a squareinside a given circle

Page 6: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a squareinside a given circle

Page 7: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a squareoutside a given circle

Page 8: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a squareoutside a given circle

Page 9: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

The same technique can be used for every regular polygons:

The sectioning points can be drawn on the circle.

If the polygon is inside the circle then the these points should be connected.

If the polygon is outside the circle then tangents should be drawn at these points.

From this point on only the polygons inside a given circle are drawn.

Page 10: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a regular octagoninside a given circle

Page 11: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a regular hexagoninside a given circle

Page 12: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a regular hexagoninside a given circle

Page 13: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a regular hexagoninside a given circle

Page 14: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a regular triangleinside a given circle

Page 15: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a regular triangleinside a given circle

Page 16: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a regular pentagoninside a given circle

Page 17: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a regular pentagoninside a given circle

Page 18: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a regular pentagoninside a given circle

Page 19: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a regular pentagoninside a given circle

Page 20: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a regular heptagoninside a given circle

Page 21: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a regular heptagoninside a given circle

Page 22: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a regular heptagoninside a given circle

Page 23: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a regular N-sided polygoninside a given circle

Page 24: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a regular N-sided polygoninside a given circle

Page 25: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a regular N-sided polygoninside a given circle

Page 26: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a regular N-sided polygoninside a given circle

Page 27: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Drawing of a regular N-sided polygoninside a given circle

Page 28: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing of a regular N-sided polygoninside a given circle

Page 29: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing the (half) perimeter of a given circle

Page 30: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing the (half) perimeter of a given circle

30o

Page 31: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing the (half) perimeter of a given circle

3R

Page 32: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Drawing the (half) perimeter of a given circle

3R

R

Page 33: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Dividing a given circle into 12 parts

Page 34: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

Dividing a given circle into 12 parts

Page 35: Technical Drawing in Photonics Lesson 3 Drawing of regular polygons. Perimeter of a circle. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation of the

Technical drawing in Photonics

Lesson 3

References

1. Ocskó Gy., Seres F.: Gépipari szakrajz, Skandi-Wald Könyvkiadó, Budapest, 2004

2. Lőrincz P., Petrich G.: Ábrázoló geometria, Nemzeti Tankönyvkiadó Rt., Budapest, 1998

3. Pintér M.: AutoCAD tankönyv és példatár, ComputerBooks, Budapest, 2006