Technical Drawing in Photonics Lesson 2 Primitive notions of geometric space. Base techniques of drawing. TAMOP C-12/1/KONV project „Preparation of the concerned sectors for educational and R&D activities related to the Hungarian ELI project” Dr. Zsolt István Benkő
Technical drawing in Photonics Lesson 2 The primitive notions of geometric space are: points, lines, planes. All are undefined terms. The point is the most fundamental object: it has zero dimension (no size), it is represented by a dot and named by a capital letter. P point P
Technical drawing in Photonics Lesson 2 The line consists of infinitely many points. It is a one dimensional object. It has infinite length but has no width and height. It extends to infinitely far in two opposite directions. It is named usually by a small letter. A line segment may be named by the letters of the two endpoints. A B line e line segment AB e Every two distinct points denote a line and a line segment as well. If a third point fits to the line denoted by two points, then the points are called collinear.
Technical drawing in Photonics Lesson 2 A plane is an infinite set of points forming a connected flat surface. It extends infinitely far in all directions. It is a two dimensional object: it has infinite length and infinite width but no height. It is represented usually by a four sided figure and named by a capital letter. plane S A plane can be denoted by two intersecting lines or by a line and a non-fitting point or by three not collinear points.
Technical drawing in Photonics Lesson 2 Some tools are needed for drawing : two square rulers (preferably a 45 o and a 30 o )
Technical drawing in Photonics Lesson 2 a pair of compasses a mechanical pencil (0.5 mm) – for the thin line a pencil (B or 2B; blunt) – for the thick line (ideally a pair of corresponding mechanical pencils should be used, e.g mm and 0.7 mm)
Technical drawing in Photonics Lesson 2 Drawing parallel lines
Technical drawing in Photonics Lesson 2 Drawing parallel lines
Technical drawing in Photonics Lesson 2 Drawing parallel lines
Technical drawing in Photonics Lesson 2 Drawing parallel lines
Technical drawing in Photonics Lesson 2 Drawing parallel lines
Technical drawing in Photonics Lesson 2 Drawing parallel lines
Technical drawing in Photonics Lesson 2 Drawing perpendicular lines
Technical drawing in Photonics Lesson 2 Drawing perpendicular lines
Technical drawing in Photonics Lesson 2 Drawing perpendicular lines
Technical drawing in Photonics Lesson 2 Drawing perpendicular lines
Technical drawing in Photonics Lesson 2 Drawing perpendicular lines
Technical drawing in Photonics Lesson 2 Drawing perpendicular lines
Technical drawing in Photonics Lesson 2 Of course there are other methods to draw parallel and perpendicular lines. The methods shown previously are accepted in technical drawing and they are fast.
Technical drawing in Photonics Lesson 2 Bisecting a line segment
Technical drawing in Photonics Lesson 2 Bisecting a line segment
Technical drawing in Photonics Lesson 2 Bisecting an angle
Technical drawing in Photonics Lesson 2 Bisecting an angle /2
Technical drawing in Photonics Lesson 2 Dividing a line segment to N equal parts
Technical drawing in Photonics Lesson 2 Dividing a line segment to N equal parts
Technical drawing in Photonics Lesson 2 Dividing a line segment to N equal parts
Technical drawing in Photonics Lesson 2 Dividing a line segment to N equal parts
Technical drawing in Photonics Lesson 2 Dividing a line segment in given ratio
Technical drawing in Photonics Lesson 2 Dividing a line segment in given ratio 3 2
Technical drawing in Photonics Lesson 2 Dividing a line segment in given ratio
Technical drawing in Photonics Lesson 2 Drawing a 60 o angle.
Technical drawing in Photonics Lesson 2 Drawing a 60 o angle.
Technical drawing in Photonics Lesson 2 Drawing a 60 o angle. 60 o
Technical drawing in Photonics Lesson 2 References 1.Ocskó Gy., Seres F.: Gépipari szakrajz, Skandi-Wald Könyvkiadó, Budapest, Lőrincz P., Petrich G.: Ábrázoló geometria, Nemzeti Tankönyvkiadó Rt., Budapest, Pintér M.: AutoCAD tankönyv és példatár, ComputerBooks, Budapest, 2006