PowerPoint Presentation: Chapter 2 Using Drawing Tools & Applied Geometry
TOPICS: TOPICS Preparation of Tools. Using of Tools Applied Geometry
Preparation of Tools: Preparation of Tools
PowerPoint Presentation: Fastening Paper to Drafting Board 1. Place the paper close to the table’s left edge. 2. Move the paper until its lower edge place about the top edge of T-square.
PowerPoint Presentation: 3. Align the top edge of the paper with T-square blade. 4. Attach the paper’s corners with tape. Fastening Paper to Drafting Board
PowerPoint Presentation: 5. Move T-square down to smooth the paper. 6. Attach the remaining paper’s corners with tape. Fastening Paper to Drafting Board
PowerPoint Presentation: 1. Remove the wood with penknife while expose a lead about 8-10 mm. 2. Polish the lead into a conical shape with a sandpaper. 3. Clean the lead with tissue paper. Sharpening the Pencil
PowerPoint Presentation: Preparing the Compass 2. Adjust the needle and the lead so that the tip of the needle extends slightly more than the lead. 1. Sharpen the lead with a sandpaper. needle lead
Using the Tools: Using the Tools
PowerPoint Presentation: Straight line Arc, Circle 4. Circle template 1. T-square 2. Triangles 3. Compass Tools Shape to be drawn Function of the Tools
PowerPoint Presentation: Using the Compass 1. Locate the center of the circle by two intersecting lines. 2. Adjust the distance between needle and lead to a distance equal to radius of the circle. 3. Set the needle point at center.
PowerPoint Presentation: 4. Start circle. Apply enough pressure to the needle, holding compass handle between thumb and index fingers. 5. Complete circle . Revolve handle clockwise. Using the Compass
PowerPoint Presentation: Using a Circle Template 1. Draw two perpendicular lines that pass through center of a circle to be drawn. Construction line Object line 2. Place the template till all marking coincide with center lines. 3. Tracing the circle. (Hold the pencil normal to the paper.) Given Center of a circle to be drawn
PowerPoint Presentation: Draw a Horizontal Line 1. Press the T-square head against the left edge of the table. 2. Smooth the blade to the right.
PowerPoint Presentation: Draw a Horizontal Line 3. Lean the pencil at an angle about 60 o with the paper in the direction of the line and slightly “toed in”. 4. Draw the line from left to right while rotating the pencil slowly .
PowerPoint Presentation: Draw a Vertical Line 1. Set T-square as before. Place any triangle on T-square edge. 2. Slide your left hand to hold both T-square and triangle in position.
PowerPoint Presentation: Draw a Vertical Line 3. Lean the pencil to the triangle. 4. Draw the line upward while rotating the pencil slowly .
PowerPoint Presentation: Draw a line at 45 o with horizontal 2. Draw the line in the direction as shown below. 1. Place 45 o triangle on the T-square edge and press them firmly against the paper.
PowerPoint Presentation: 1. Place 30 o -60 o triangle on the T-square edge and press them firmly against the paper. 2. Draw the line in the direction as shown below. Draw a line at angle 30 o and 60 o
PowerPoint Presentation: 0 deg. 15 deg. 30 deg. 45 deg. 60 deg. 75 deg. 90 deg. = 30 + 45 deg Already demonstrated. = 30 + 45 deg Already demonstrated. Draw the lines at 15 o increment
PowerPoint Presentation: A B Draw the line passing through two given points 1. Place the pencil tip at one of the points. 2. Place the triangle against the pencil tip. A B Given 3. Swing the triangle around the pencil tip until its edge align with the second point. 4. Draw a line.
Applied Geometry: Applied Geometry
PowerPoint Presentation: To Bisect a Line 1. Swing two arcs of any radius greater than half-length of the line with the centers at the ends of the line. 2. Join the intersection points of the arcs with a line. (not to scale) A B r 1 Given A B r 1 3. Locate the midpoint.
PowerPoint Presentation: To Bisect an Angle 2. Swing the arcs of any radius from the intersection points between the previous arc and the lines. 3. Draw the line. 1. Swing an arc of any radius whose centers at the vertex. (not to scale) r 1 Given A B C A B C r 2 r 2
PowerPoint Presentation: To draw the line parallel to a given line and passes through a given point Given + C
PowerPoint Presentation: To draw the line parallel to a given line and passes through a given point Given + C Repeat
PowerPoint Presentation: To draw the line parallel to a given line with a specified distance Given distance = r r
PowerPoint Presentation: r To draw the line parallel to a given line with a specified distance Repeat Given distance = r
PowerPoint Presentation: To draw the line perpendicular to a given line at a given point + C Revolve method
PowerPoint Presentation: + C To draw the line perpendicular to a given line at a given point Repeat Revolve method
PowerPoint Presentation: To draw the line perpendicular to a given line at a given point + C Adjacent-sides method
PowerPoint Presentation: + C To draw the line perpendicular to a given line at a given point Adjacent-sides method Repeat
PowerPoint Presentation: To draw the line perpendicular to a given line at a given point Using Compass + C
PowerPoint Presentation: To draw the line perpendicular to a given line at a given point Using Compass r 1 r 2 + C r 2 r 2 > r 1 A B D Repeat
PowerPoint Presentation: Adjacent-sides method To draw the line perpendicular to a given line from a point not on the line + C
PowerPoint Presentation: + C To draw the line perpendicular to a given line from a point not on the line Adjacent-sides method Repeat
PowerPoint Presentation: Using compass + C To draw the line perpendicular to a given line from a point not on the line
PowerPoint Presentation: Using compass r 2 + C r 2 r 1 Note: You can also use revolve method. How ? Try by yourself !!! To draw the line perpendicular to a given line from a point not on the line B A D Repeat
PowerPoint Presentation: + C To draw a line making 15 o with a given line and pass through a given point. Given
PowerPoint Presentation: + C To draw a line making 15 o with a given line and pass through a given point. Given
PowerPoint Presentation: To draw a line making 30 o with a given line and pass through a given point. + C Given
PowerPoint Presentation: To draw a line making 75 o with a given line and pass through a given point. + C Given
PowerPoint Presentation: FILLET AND ROUND Sharp corner Fillet Round Round
PowerPoint Presentation: FILLET AND ROUND To draw the arc , we must find the location of the center of that arc. How do we find the center of the arc?
PowerPoint Presentation: To draw an arc of given radius tangent to two perpendicular lines Given arc radius r r r
PowerPoint Presentation: To draw an arc of given radius tangent to two perpendicular lines Given arc radius r center of the arc Starting point Ending point
PowerPoint Presentation: To draw an arc of given radius tangent to two lines Given arc radius r + + r r
PowerPoint Presentation: To draw an arc of given radius tangent to two lines Given arc radius r T.P.1 T.P.2
PowerPoint Presentation: C To draw a line tangent to a circle at a point on the circle Given
PowerPoint Presentation: To draw a line tangent to a circle from a point outside the circle Given C mark a tangent point
PowerPoint Presentation: When circle tangent to other circle C1 C2 Tangent point R1 R2 R1 + R2 The center of two circles and tangent point lie on the same straight line !!!
PowerPoint Presentation: To draw a circle tangent to two circles I + C 2 Given + C 1 C + Example
PowerPoint Presentation: + C 1 Given Two circles and the radius of the third circle = R To draw a circle tangent to two circles I + C 2
PowerPoint Presentation: + + C 1 C 2 R + R 1 Given Two circles and the radius of the third circle = R R + R 2 R 1 R 2 C center of the arc To draw a circle tangent to two circles I R Repeat
PowerPoint Presentation: C2 R2 When circle tangent to other circle C1 Tangent point R1 The center of two circles and tangent point must lie on the same straight line !!! R2 R1
PowerPoint Presentation: Given + C 1 + C 2 C + To draw a circle tangent to two circles II Example
PowerPoint Presentation: + + C 1 C 2 To draw a circle tangent to two circles II Given Two circles and the radius of the third circle = R
PowerPoint Presentation: + + C 1 C 2 R – R 2 To draw a circle tangent to two circles II Given Two circles and the radius of the third circle = R R – R 1 R 1 R 2 C R Repeat
PowerPoint Presentation: + C 1 + C 2 To draw a circle tangent to two circles III Given Two circles and the radius of the third circle = R R + R 2 R – R 1 R 1 R 2 C
PowerPoint Presentation: To draw an approximate ellipse Given Major and minor axes
PowerPoint Presentation: To draw an approximate ellipse Given Major and minor axes Repeat
PowerPoint Presentation: How to Keep Your Drawing Clean Do Don’t