First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
Course unit
INP8083363, A.A. 2019/20

Information concerning the students who enrolled in A.Y. 2019/20

Information on the course unit
Degree course First cycle degree in
IN2452, Degree course structure A.Y. 2018/19, A.Y. 2019/20
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Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination DRAWING AND REPRESENTATION LAB
Department of reference Department of Civil, Environmental and Architectural Engineering
Mandatory attendance No
Language of instruction Italian
Single Course unit The Course unit CANNOT be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Teacher in charge COSIMO MONTELEONE ICAR/17

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Basic courses ICAR/17 Design 6.0

Course unit organization
Period First semester
Year 1st Year
Teaching method frontal

Type of hours Credits Teaching
Hours of
Individual study
Lecture 6.0 48 102.0 No turn

Start of activities 30/09/2019
End of activities 18/01/2020
Show course schedule 2019/20 Reg.2018 course timetable

Prerequisites: Nothing.
Target skills and knowledge: This course is a training that makes the students able to communicate rightly the contents of a project through drawing, according to the rules of theory and design tradition. Training in this field must respond appropriately to the increasing complexity of the building world as well as to the new professional responsibilities that the European and international horizon require. During the course the student is asked to solve complex questions in space, representing and solving problems on the plane, aiming at a correct representation far from misunderstandings and errors. So, this course aims to provide the students of Drawing Laboratory (Techniques and Management of Construction and Territory) the fundamental knowledge, theoretical and practical, concerning the design of architecture and the anthropic environment for a correct communication of the project.
Examination methods: To pass the exam students must take 3 written tests
and make drawings by hand and using digital programs.
Assessment criteria: 7 points to each written test
4 points to hand drawings
5 points to digital drawings
Course unit contents: Geometry and methods of representation
1. Introduction to methods of representation.
2. Hints of elementary geometry (definition of point, line, plane and space, definition of coplanar lines, incidents at one point, parallel, coinciding, skew, definition of projection from a center of a point on a plane, definition of projection of a point on a plane according to an assigned line, definition of orthogonal projection of a point on a plane, definition of overturning, definition of a symmetric shape referring to a point, referring to an axis).
3. Hints of projective geometry (definition of projection from a center and section with a plane, notion of projective space: extension of the Euclidean space to infinity.) Point, line and plane at infinity, definition of parallel lines, of parallel planes, of a group of parallel and intersecting lines, definition of a group of parallel and intersecting planes.
4. Orthogonal projections (Monge method): reference system in space and in the plane; representation of the point, the line and the plane and particular cases; condition of belonging (point of a line, line of a plane, point of a plane), parallelism and coplanarity. The third projection plane. Intersections between planes, between straight lines, between line and plane. Overturning of the projecting plane.
5. Orthogonal projections (Monge method): The section with projecting planes of elementary solids (section of the parallelepiped, of the pyramid, of the cone, of the sphere) and of complex solids.
6. Axonometry (parallel projections): introduction to axonometry; orthogonal axonometry and oblique axonometry: reference system in space and plane.
7. Axonometry (parallel projections) isometric orthogonal axonometry; monometric and dimetric oblique axonometries: cavalier, military and planometric horseshoes.

Basic regulation for technical drawing
1. Formats of the sheets, how to fold them and noteheads; scale; dimensioning (measurement and reference lines, dimensioning systems, conventions and symbols); line types; hatches (section and cross-hatching conventions for the representation of materials in the sections).

Representation of construction elements and materials in buildings
1. Representation of materials in construction (stone, brick, concrete, etc.).
2. Representation of the structures (foundation, masonry, floors, roofs).

The project drawing
1. general plans and cadastral maps.
2. Representing a plan (structure, distribution, plan layout)
3. Representing of vertical sections.
4. Representing elevations.
5. Represent constructive details.

Architectural survey
1. Overview of metrology.
2. Overview on survey methods (direct and digital methods).
Planned learning activities and teaching methods: OBJECTIVES

The course deals with general topics on technical drawing. It is set to teach the students the main two methods of representation, useful for any kind of engineering subjects: orthogonal projections and axonometric views. It focuses on technical drawings, providing theoretical and practical skills for the analysis and the representation of pure geometric objects.
The course provides also the base of digital skills for 2D and 3D representation.


The students will be able to manage the basic rules of projective geometry and descriptive geometry for representing pure solids in the Euclidean space. At the end of the course the students will be able to face:

1) the geometric problems of the space with orthogonal and axonometric projections (section/intersections/revolutionary solids/noteworthy surfaces).

2) the appropriate digital commands to set a print of a 2D drawing and to produce a 3D virtual model.
Additional notes about suggested reading: for hand drawing:
A3 paper, rulers, 4H and 2H pencils, white eraser, compass

for digital drawing:
Autocad, 3D Studio Max
Textbooks (and optional supplementary readings)
  • Cesare Cundari, Il disegno: ragioni, fondamenti, applicazioni. Roma: Kappa, 2009. Cerca nel catalogo
  • Carlo Mezzetti, Il disegno nelle Facoltà di Ingegneria. Roma: Gangemi, 1991. Cerca nel catalogo
  • D.L. Ryan, CAD/CAE Descriptive Geometry. --: CRC Press, 1991.