The graphic below shows a number of sloping arms which support lights in a modern sculpture - Leaving Cert DCG - Question A-3 - 2011
Question A-3
The graphic below shows a number of sloping arms which support lights in a modern sculpture.
Two such arms are represented by the skew lines AB and CD on the right.... show full transcript
Worked Solution & Example Answer:The graphic below shows a number of sloping arms which support lights in a modern sculpture - Leaving Cert DCG - Question A-3 - 2011
Step 1
Creating a plane containing AB (or CD) and parallel to CD (or AB)
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To create the required plane, start from point A and draw a line to point B. This line should be drawn in a way that it remains parallel to the line CD. Ensure that both lines are represented in the same plane for accurate projections.
Step 2
Elevation and plan of horizontal line on parallel plane
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Next, you will need to create the elevation and plan of the line on the newly established parallel plane. This involves projecting points A and B vertically down to the horizontal plane and then connecting the dots to illustrate the horizontal line.
Step 3
X, Y perpendicular to plan of horizontal line
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Establish X and Y axes perpendicular to the plan of the horizontal line to facilitate the projection of points A and B onto these axes.
Step 4
Projections of lines in 1st auxiliary elevation ... (parallel)
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For the projections, draw the first auxiliary projection of lines AB and CD. This involves projecting these lines both above and below the baseline, maintaining their angular relationships.
Step 5
X, Y perpendicular to XY1
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Ensure that a new XY1 line is drawn on the elevations with X and Y points being perpendicular to this line, which helps achieve accurate positioning of the projected lines.
Step 6
Identification of shortest horizontal distance in 2nd auxiliary
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In the second auxiliary view, analyze the created projections to identify the shortest horizontal distance between line segments AB and CD. Use geometric measurement to find and mark this distance.
Step 7
Draw required projections (projecting or measuring to plan and elevation)
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Finally, draw the required projections that represent the measurements to both the plan and elevation. This should include all significant points and lines, ensuring clarity and accuracy in representation.
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