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Learn about geometric space, points, lines, planes, and basic drawing techniques in this lesson. Essential tools and methods are covered for accurate technical drawings in the field of photonics.
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Technical Drawing in Photonics • Lesson 2 • Primitive notions of geometric space. Base techniques of drawing. Dr. Zsolt István Benkő 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”
Lesson 2 P • 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. point P Technical drawing in Photonics
Lesson 2 A e B line segment AB 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. line 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 45o and a 30o) 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. 0.35 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 linesegment Technical drawing in Photonics
Lesson 2 Bisecting a linesegment Technical drawing in Photonics
Lesson 2 Bisecting an angle a Technical drawing in Photonics
Lesson 2 a/2 a/2 Bisecting an angle 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 ingiven ratio Technical drawing in Photonics
Lesson 2 3 2 Dividing a line segment ingiven ratio Technical drawing in Photonics
Lesson 2 3 2 3 2 Dividing a line segment ingiven ratio Technical drawing in Photonics
Lesson 2 Drawing a 60o angle. Technical drawing in Photonics
Lesson 2 Drawing a 60o angle. Technical drawing in Photonics
Lesson 2 Drawing a 60o angle. 60o Technical drawing in Photonics
Lesson 2 • References • Ocskó Gy., Seres F.: Gépipari szakrajz, Skandi-Wald Könyvkiadó, Budapest, 2004 • Lőrincz P., Petrich G.: Ábrázoló geometria, Nemzeti Tankönyvkiadó Rt., Budapest, 1998 • Pintér M.: AutoCAD tankönyv és példatár, ComputerBooks, Budapest, 2006 Technical drawing in Photonics