DCG Revision - Laminar Planes

The topic we will be revising this week is Laminar Planes. Laminar Planes are part of the Oblique Planes section of the course. The constructions in this topic are fundamental can could be used for a number of topics such as Interpenetration (have you tried to solve one yet? Study Tip 10: https://youtu.be/SFHvXu4d_Bc).

​Laminar Planes questions can come up in Section A, Section B and they are also an important part of Geologic Geometry and Surface Geometry in Section C. As you can see it is vital that you understand Laminar Planes as it's concepts and constructions will almost certainly be on your Leaving Cert exam paper come June.

Syllabus Learning Outcomes (NCCA, 2006)

What you Need to Know!

Ordinary Level

  • Find the Edge View of a Laminar Plane.
  • Find the True Shape of a Laminar Plane.
  • Find the Line of Intersection between 2 Laminar Planes (Given 1 point on the Line of Intersection or no points on the Line of Intersection).

Higher Level

  • Find the Dihedral Angle between 2 Intersecting Laminar Planes.
  • Draw the shortest Horizontal Line, Perpendicular Line, or line at a given inclination to a Laminar Plane given a point outside the plane.
  • Find the Traces of a Plane given a Laminar Plane
  • Find a Laminar Plane's True Inclination to the Vertical and Horizontal Planes

Practice Textbook Questions (Anderson, 2014)

  1. P172 Q9
  2. P172 Q10

Past Exam Paper Questions

  1. 2017 HL A-3, A-4, B-2
  2. 2016 HL B-1
  3. 2015 HL A-3
  4. 2014 HL B-1
  5. 2013 HL B-1
  6. 2010 HL B-3

References

NCCA (2006). Leaving Certificate Design and Communication Graphics Syllabus. Dublin: The Stationary Office.
Anderson, D. (2014). Graphics in Design and Communication: One Volume Edition. Dublin: Gill & Macmillan.