Presentation is loading. Please wait.

Presentation is loading. Please wait.

Technical Drawing in Photonics Lesson 2 Primitive notions of geometric space. Base techniques of drawing. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation.

Published byMyles Smith Modified over 9 years ago

Similar presentations

Presentation on theme: "Technical Drawing in Photonics Lesson 2 Primitive notions of geometric space. Base techniques of drawing. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation."— Presentation transcript:

1 Technical Drawing in Photonics Lesson 2 Primitive notions of geometric space. Base techniques of drawing. 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

2 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

3 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.

4 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.

5 Technical drawing in Photonics Lesson 2 Some tools are needed for drawing : two square rulers (preferably a 45 o and a 30 o )

6 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)

7 Technical drawing in Photonics Lesson 2 Drawing parallel lines

8 Technical drawing in Photonics Lesson 2 Drawing parallel lines

9 Technical drawing in Photonics Lesson 2 Drawing parallel lines

10 Technical drawing in Photonics Lesson 2 Drawing parallel lines

11 Technical drawing in Photonics Lesson 2 Drawing parallel lines

12 Technical drawing in Photonics Lesson 2 Drawing parallel lines

13 Technical drawing in Photonics Lesson 2 Drawing perpendicular lines

14 Technical drawing in Photonics Lesson 2 Drawing perpendicular lines

15 Technical drawing in Photonics Lesson 2 Drawing perpendicular lines

16 Technical drawing in Photonics Lesson 2 Drawing perpendicular lines

17 Technical drawing in Photonics Lesson 2 Drawing perpendicular lines

18 Technical drawing in Photonics Lesson 2 Drawing perpendicular lines

19 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.

20 Technical drawing in Photonics Lesson 2 Bisecting a line segment

21 Technical drawing in Photonics Lesson 2 Bisecting a line segment

22 Technical drawing in Photonics Lesson 2 Bisecting an angle 

23 Technical drawing in Photonics Lesson 2 Bisecting an angle  /2

24 Technical drawing in Photonics Lesson 2 Dividing a line segment to N equal parts

25 Technical drawing in Photonics Lesson 2 Dividing a line segment to N equal parts

26 Technical drawing in Photonics Lesson 2 Dividing a line segment to N equal parts

27 Technical drawing in Photonics Lesson 2 Dividing a line segment to N equal parts

28 Technical drawing in Photonics Lesson 2 Dividing a line segment in given ratio

29 Technical drawing in Photonics Lesson 2 Dividing a line segment in given ratio 3 2

30 Technical drawing in Photonics Lesson 2 Dividing a line segment in given ratio 3 2 3 2

31 Technical drawing in Photonics Lesson 2 Drawing a 60 o angle.

32 Technical drawing in Photonics Lesson 2 Drawing a 60 o angle.

33 Technical drawing in Photonics Lesson 2 Drawing a 60 o angle. 60 o

34 Technical drawing in Photonics Lesson 2 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

Download ppt "Technical Drawing in Photonics Lesson 2 Primitive notions of geometric space. Base techniques of drawing. TAMOP-4.1.1.C-12/1/KONV-2012-0005 project „Preparation."

Similar presentations

POINTS, LINES, & RAYS.

POINTS, LINES, & RAYS.
Geometry Terms: Chapter 1.

Geometry Terms: Chapter 1.
Geometry Review Test Chapter 2.

Geometry Review Test Chapter 2.
Geometry Definitions POINTS, LINES, and PLANES

Geometry Definitions POINTS, LINES, and PLANES
Chapter 1.1 Common Core G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions.

Chapter 1.1 Common Core G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions.
1.2 Points, Lines, and Planes

1.2 Points, Lines, and Planes
1.2 Points, Lines, and Planes 9/10/12

1.2 Points, Lines, and Planes 9/10/12
Definitions and Examples of Geometric Terms

Definitions and Examples of Geometric Terms
The most basic figures in geometry are undefined terms, which cannot be defined by using other figures. The undefined terms point, line, and plane are.

The most basic figures in geometry are undefined terms, which cannot be defined by using other figures. The undefined terms point, line, and plane are.
Introduction to Geometry: Points, Lines, and Planes

Introduction to Geometry: Points, Lines, and Planes
Tools of Geometry Chapter 1 Vocabulary Mrs. Robinson.

Tools of Geometry Chapter 1 Vocabulary Mrs. Robinson.
Objective 1.01 Apply the properties and definitions of lines and angles to model and solve problems. Vocabulary Acute: an angle that measure less than.

Objective 1.01 Apply the properties and definitions of lines and angles to model and solve problems. Vocabulary Acute: an angle that measure less than.
► A point is the place where two lines intersect. ► We identify this point with a number or a CAPITAL letter. ► A point has no length or width, it just.

► A point is the place where two lines intersect. ► We identify this point with a number or a CAPITAL letter. ► A point has no length or width, it just.
DO NOW Take a ruler from the bookshelf. Have your syllabus contract out and ready to turn in. Take out your notebook for this class. In your notebook,

DO NOW Take a ruler from the bookshelf. Have your syllabus contract out and ready to turn in. Take out your notebook for this class. In your notebook,
LESSON 1.1 Points, Lines and Planes Objective: I will be able to… 1.Identify and model points, lines, and planes as well as intersecting lines and planes.

LESSON 1.1 Points, Lines and Planes Objective: I will be able to… 1.Identify and model points, lines, and planes as well as intersecting lines and planes.
Introduction to Geometry – Points, Lines, and Planes Points - have no height or width - represented using a dot and labeled using a capital letter A B.

Introduction to Geometry – Points, Lines, and Planes Points - have no height or width - represented using a dot and labeled using a capital letter A B.
Building Blocks of Geometry. The Building Blocks Point Plane Line These 3 objects are used to make all of the other objects that we will use in Geometry.

Building Blocks of Geometry. The Building Blocks Point Plane Line These 3 objects are used to make all of the other objects that we will use in Geometry.
Points, Lines, & Planes Section 1-1. Undefined Terms in Geometry There are 5 undefined terms in geometry that have no formal definition, but that we have.

Points, Lines, & Planes Section 1-1. Undefined Terms in Geometry There are 5 undefined terms in geometry that have no formal definition, but that we have.
Points, Lines and Planes

Points, Lines and Planes
Lesson1.1. Three building blocks of geometry are points, lines, and planes. A point is the most basic building block of geometry. It has no size. It has.

Lesson1.1. Three building blocks of geometry are points, lines, and planes. A point is the most basic building block of geometry. It has no size. It has.

Similar presentations

Ads by Google