* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download UNIT 1: Technical drawing: the basics. Working with lines
Survey
Document related concepts
Integer triangle wikipedia , lookup
Yang–Mills theory wikipedia , lookup
Topological quantum field theory wikipedia , lookup
Perspective (graphical) wikipedia , lookup
History of the compass wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Trigonometric functions wikipedia , lookup
Perceived visual angle wikipedia , lookup
Rational trigonometry wikipedia , lookup
Euler angles wikipedia , lookup
Technical drawing wikipedia , lookup
Line (geometry) wikipedia , lookup
Transcript
VISUAL ARTS 1ST ESO THEORY UNIT 1 UNIT 1: Technical drawing: the basics. Working with lines Basic tools The set of squares The set of squares with the compass are the basic tools in technical drawing. These tools, usually made of plastic are two square triangles (triangles with one of their angles of 90º) 30o 45o 90o 60o 6OO SQUARE or TRIANGLE 90 o 45o 45O SQUARE or TRIANGLE With the set of squares we can obtain many different angles (15º 30º, 45º, 60º, 75º, 90º, 105, 120º, 135º, 150º, 165º, 180º) by adding or subtracting them. Image taken from https://laclasededibujo.wordpress.com/contenidos-2/instrumentos-de-dibujo/ 1 VISUAL ARTS 1ST ESO THEORY UNIT 1 With them we can also draw parallel and perpendicular lines. Parallel lines are straight lines that follow the same direction, so they never cross Image taken from https://laclasededibujo.wordpress.com/contenidos-2/instrumentos-de-dibujo/ Perpendicular lines are straight lines that cross making 90o angles 90o 90o 90o 90o Image taken from https://laclasededibujo.wordpress.com/contenidos-2/instrumentos-de-dibujo/ LINES CLASSIFICATION According to their shape, lines can be: CURVED WAVY DOTTED OR DASHED STRAIGHT BROKEN CURLY ZIGZAG SPIRAL TAPERED 2 VISUAL ARTS 1ST ESO THEORY UNIT 1 According to their position lines can be: VERTICAL HORIZONTAL DIAGONAL According to their relation with other lines they can be PARALLEL CROSSING LINES PERPENDICULAR 900 THE COMPASS This tool is used to make circumferences … 3 VISUAL ARTS 1ST ESO THEORY UNIT 1 ….but also to transfer measures… Addition of segments Subtraction of segments Image taken from http://plastinloca.blogspot.com.es/2014/02/lamina-22-disena-tus-iniciales-suma-y.html Transferring (copying) angles Addition of angles Subtraction of angles Images taken from http://www.profesordedibujo.com/index.php/videos/trazados-geometria/trazados-fundamentales.html 4 VISUAL ARTS 1ST ESO THEORY UNIT 1 Basic constructions Bisector of a segment Definition: The bisector of a segment is the perpendicular straight line that divides the segment into two equal parts, creating square angles (900 degrees). We can obtain them using the compass and the ruler ….. 1. Open the compass more than the half of the length of the segment. 2. Place the compass in P and draw an arch 3. Place the compass in Q and draw other arch that crosses the first one 4. Draw a straight line that links the two points where the arches cross. This blue line is the bisector of PQ segment ……or with the set of squares: 1. From P draw a 300 angle above the segment and other of 300 bellow it 2. Do the same in point Q P 300 300 Q 3. The straight line that links where the angles cross each other is the bisector. (the thick line) 5 VISUAL ARTS 1ST ESO Bisector or an angle: THEORY UNIT 1 Definition: The bisector of an angle is the straight line that divides the angle into two equal parts THALES THEOREM (Application) When we want to divide a segment into a certain number of equal parts we have to apply the Thales Theorem Example: ”Divide this segment into 6 equal parts” Step 1 Step 2 Step 3 Step 4 6