LABORATORIO DI RAPPRESENTAZIONE E GEOMETRIA DESCRITTIVA M - Z

Academic Year 2023/2024 - 1° Year
Teaching Staff: Eugenio MAGNANO DI SAN LIO and Rita Maria VALENTI
Credit Value: 12
Scientific field: ICAR/17 - Drawing
Taught classes: 42 hours
Exercise: 39 hours
Laboratories: 135 hours
Class Hour Schedule
from 10/04/23
Struttura Didattica Speciale di Architettura
WED 09:00-13:00 Aula L
WED 14:00-16:30 Aula L

Expected Learning Outcomes

The objective of the Representation and Descriptive Geometry Laboratory is to involve each student in understanding the basic mechanisms of matter, to the point of making the practice of imagining three-dimensional objects represented on a two-dimensional support and the representation of solid objects on a two-dimensional support natural. The applications that will be proposed, even with the targeted use of CAD software, have the objective, in constituting a basic theoretical support, of developing in students a clear mental vision of three-dimensional space. Constant, conscious and assiduous exercise is the only means to achieve this objective and for this reason a condition of total immersion in graphic practice is expected.


The course has a further objective to lead students to:

1. be able to apply their knowledge, understanding and ability to solve problems to new or unfamiliar topics, placed in broader (or interdisciplinary) contexts connected to their field of study;

2. acquire the ability to integrate knowledge and manage complexity, as well as make judgments based on limited or incomplete information, including reflection on the social and ethical responsibilities associated with the application of their knowledge and judgments;

3. know how to communicate their conclusions, as well as the knowledge and rationale underlying them, in a clear and unambiguous way to specialist and non-specialist interlocutors;

4. develop learning skills that allow them to continue studying mostly in a self-directed or autonomous way.

Required Prerequisites

The skills acquired in secondary school, the competence in geometric drawing acquired in the compulsory school drawing courses and the eventual passing of the Additional Educational Obligations (OFA) attributed to the student based on the assessment of initial knowledge are sufficient ( entrance test), to be completed compulsorily within the first year of the course using the recovery methods established by the Course of Study.

Any other initial deficiency can in any case be compensated with constant and conscious application in the first weeks of study and with the support of the teacher.

Attendance of Lessons

Regular attendance of laboratory lessons is essential.


Pursuant to art. 24 of the University Teaching Regulations and point 3.1 of the Study Course Teaching Regulations, attendance is mandatory for the courses called "Laboratory". Students can request total or partial exemption from the obligation to attend for serious and/or justified reasons. The dispensation is approved by the Degree Course Council and must simultaneously provide for the possibility of participating in the relevant exam sessions. Frequency of supplementary activities is also highly recommended.

Detailed Course Content

Drawing represents the elective tool for making architecture and has always been the means through which design thinking unfolds.

With the certainty that the practice of architecture must be based first and foremost on a clear knowledge of the technical and conceptual tools of traditional drawing, for training purposes, for the first few months the use of computer-assisted drawing is excluded, which instead will only concern the central and final part of the course. However, the use of manual techniques and elementary materials will be fundamental: paper, cardboard, pencils, colored crayons, watercolours, compass, eraser, ruler and squares. The acquisition of a basic technique and refined manual skills will allow you to appreciate and use the tools offered by modern technology in the best possible way, with the fullest awareness.

The topics covered are the following:

Introduction to drawing: technical and theoretical tools of drawing; the functions of drawing; general information on representation methods.

Elementary constructions and their applications: elementary geometric constructions; harmonious relationships; geometric patterns and patterns; fundamentals of graphic analysis.

Introduction to architectural drawing: reduction scales; main graphic conventions; plans, elevations, sections; representation of an architectural project in 1:50 scale and 1:100 scale.

Notes on projective geometry: projection and section; projectivity, perspectivity, homology.

Monge projections: reference model; representation of geometric entities, plane and solid figures; sections with projecting planes inclined with respect to the reference planes, overturning, true shape and size.

Perspective: vertical and horizontal frame perspective: reference model and representation of geometric entities, plane and solid figures; measurement points.

Axonometry: reference model and representation of geometric entities, flat and solid figures; oblique and orthogonal projections; trace triangle; normalized triples.

Shadow theory: shadows in Monge projections, axonometry, perspective.

Course Planning

 SubjectsText References
1Introduction to drawing
2Elementary constructions and their applications
3Notes on projective geometry
4Monge projections
5Axonometry
6Perpesctive

Learning Assessment

Learning Assessment Procedures

During each meeting, correct learning of the course contents will be verified through ongoing exercises or tests.


At the end of the first semester there will be a check of the first tables created, a question on the 60 elementary constructions and a graphic exercise on perspective. Although participation in this test is optional, it is highly recommended and will reduce the effort required for the final exam.

The final exam includes three distinct parts:

- verification of the tables produced during the course;

- verification of the final tables;

- questioning on elementary constructions, on representation methods (Monge projections, axonometry and perspective), on the theory of shadows.

The evaluation will take into consideration the graphic quality of the tables, the capacity for spatial reasoning and the consistency of application to the study.

Examples of frequently asked questions and / or exercises

Each of the 60 geometric constructions (for example 'draw the circle passing through three points', 'draw the circle tangent to a line in a point and passing through a second point', draw the line passing through a point and tangent to a circle' , 'draw the ellipse given the major and minor axis', geometries of the four-centred oval', 'draw the sinusoid', or 'draw the decagon inscribed on the circumference').


Each of the proposed descriptive geometry constructions (for example 'draw the straight intersection of two generic planes, or 'draw a point belonging to the assigned plane').

Simple shadow constructions (for example 'draw the shadow of a vertical segment in perspective', or 'draw the shadow of a pyramid in Monge projections or in axonometry')

VERSIONE IN ITALIANO