Geometry 2.1

Presentation

The UC Geometry 2.1. in the context of architecture, is committed to the practice of graphical representation of space and objects in perspective. Considering the fundamental theorists and their methods in the field of perspective, it takes a historical approach since the Renaissance. By providing students with theoretical and practical knowledge about perspective for understanding and representing space, it functions as a grammar of drawing, bridging the needs of representation in architectural design. In its operability of logical-deductive rigor, it develops, on the one hand, a specific practice, on the other, and in its continuity, it provides fundamental scientific knowledge in the practice of drawing as an intellectual activity at the service of free, creative representation, but mainly in the formal investigation of organization of space in the act of designing in architecture.

Programme

Architecture

Level of Qualification|Semesters|ECTS

| Semestral | 2

Year | Type of course unit | Language

2 |Mandatory |Português

Code

ULP286-14452

Recommended complementary curricular units

The U.C. Geometry 2.1. It develops in the direct complementarity of the Architecture Design and Drawing subjects.

Professional Internship

Não

Syllabus

Introduction to Linear perspective

1.Introduction to Linear Perspective

• Foundations of Projective Geometry.
• Theorem of Desargues
• Conic projection.
• The representation Drawing as projection system.
• Linear perspective.
• Perspective - The System and its elements

2 Representation Systems - Perspective

2.1 Costruzione Legittima

• Historical Review, context
• Brunelleschi Perspective
• Leonardo¿s reviews.

2.2. Costruzione Abbreviata

• The veil of Leon Battista Alberti,

2.3. Distance Point Construction

3. Shadows I

• Study of the theory of shadows applied to perspective.
• Light Source at a finite distance.

4. Space Transformation

• Anamorphosis

Objectives

Encourage logical-deductive and spatial abstraction of student capabilities.

Develop analysis skills and graphic representation tools.

To build a representation attitude based on analytic and synthetic view regarding the world of objects and space.

Acquire knowledge to use projective systems based on rigorous geometrical drawing representation to understand shapes, objects and space.

Start questioning critical awareness of the relationship of Linear Perspective and its contextual developments in the history of civilization and the representation of the world.

Identify the main protagonists of the evolution of the method of construction of Perspective.

Teaching methodologies and assessment

The program will be oriented trough theoretical, practical and tutorial classes.

Assessment is made with no final exam. Assessment is continuous and 75% of presence in classes are required.Evaluation is distributed between classroom performance and complementary work.

The performance in class is of daily evaluation. Complementary Work is an individual project where each student independently explores problems and solutions. This work is delivered at the end of the semester, but regular monitoring is mandatory for evaluation.

The final grade will be the weighted average of the exercises performed in the classes (60%) + complementary work (40%). Of these 40%, 35% are earmarked for regularity. In cases of exception where the student does not meet the attendance and / or does not reach the minimum objectives in the continuous assessment can apply for the 2^nd season exam.

References

• Izquierdo, Asensi Fernando (2011) Geometría Descriptiva I (Sistemas e Perspectivas), Madrid, Izquierdo editores.
• Xavier, João Pedro (1997). Perspectiva, perspectiva acelerada e contraperspectiva, Porto, FAUP.
• Ricca , Guilherme (2006). Método de Monge (3ª ed), Lisboa Fundação Calouste Gulbenkian.
• Thomae, Reiner  (1979). Perspetiva y Axonometria
• Panofsky, Erwin (1999). A perspectiva como forma simbólica, Lisboa: Edições 70.

Office Hours