Cursos / 1º Ciclo / Faculty of Architecture and Arts :: Architecture ( Integrated Master)

Versao Portuguesa


1º curricular year
Semestralidade: 2nd semester
ECTS: 3,5


Leading Teacher: Prof. Doutor António Oliveira
Assistant Professor: Prof. Doutor António Oliveira

Class type and School hours

Teórico-prática : 4 Horas

Main Aims/Objectives

Provide the students ability to use the projective geometry as a representation system, which allows to shift from the three spatial dimensions to the two drawing dimensions and vice versa.
Development of the ability for abstraction.
Development of logical-deductive capabilities, especially those related to the perception and representation of shapes and objects in space.

Specific Aims/Objectives

Give the students the ability to discriminate the systems of representation that derive from the cylindrical projection (orthogonal or oblique) and the central projection.

Skills to be acquired

Capacity of perception and representation of shapes, real or imagined, in the spatial context.
Acknowledgment by the students of the role and effectiveness of each one of the representation systems in Descriptive Geometry. Ability to choose the most convenient system of representation, depending on the intended purpose: formal exploration, space exploration or the architectural representation of objects.

Teaching Procedures

Often, the imparted knowledge will be applied to real problems, being these practical exercises the privileged base for experimentation and validation of theoretical knowledge.


Principles. Central projections.
Representation of the basic elements: point line and plan.
Rotation of plans around fixed axis.
Perspective methods
Inclination’s direction with the perspective board.
Inclination’s circumference and measurement´s circumference of a line.
Circumference and measuring points.
Tracing of shades.

Evaluation Type

The assessment methodology results from the application of the «General Regulation of Knowledge of the University». The assessment consists, mainly, in graphical tests, Frequency and Exam proofs, carried through for the effect, in complementarily with tests of continuous assessment, in a minimum of two.

Teaching Resources

The teaching material used in class will be relatively small, with the aim of encouraging the capacity for abstraction and spatial visualization of the students. Resources will consist primarily in drawings executed in the blackboard. In addition, occasionally, it will be used projected images designed in computer, and ultimately the recourse to models.


Central projections
Linear Perspective
Visual perception

Main Bibliography

Author ASENSI, F. Izquierdo
Title Geometria Descriptiva
Edition 20.ª
Place Madrid
Editor Editorial Dossat
Year 1991
Author LUDI, Jean-Claude
Title La perspective Pas-a Pas
Edition 3.ª
Place Paris
Editor Dunot
Year 1999
Author NANNONI, Dante
Title Geometria Prospettiva Projetto
Edition 3.ª
Place Bolonha
Editor Cappeli Editore
Year 1991

Complementary Bibliography

Author ASENSI, F. Izquierdo
Title Ejercicios de Geometria Descriptiva IV
Edition 1.ª
Place Madrid
Editor Ed. de Autor
Year 1991