Geometry

Code:

G102

Acronym:

G

Keywords
Classification	Keyword
CNAEF	Fine Arts

Instance: 2018/2019 - 2S

Active?	Yes
Responsible unit:	Desenho
Course/CS Responsible:	Fine Arts

Cycles of Study/Courses

Acronym	No. of Students	Study Plan	Curricular Years	Credits UCN	Credits ECTS	Contact hours	Total Time
AP	134	Official Study Plan 2011	1	-	3	54	81

Teaching language

Suitable for English-speaking students

Objectives

With the study of geometry, we want to encourage the logical and deductive abilities of the student, building an analytic attitude and strengthening the synthetical thinking on the world of objects and and spaces. It all starts from the conscience of the body in space. Assuming geometry as the structure of the drawing, students should acquire knowledge that would enable them to use the projective geometry's systems of linear representation as the based for the knowledge and understanding of shapes.

Learning outcomes and competences

The student should acquire, and make it operative, the geometric knowledge that allow him to:
- understand his position and his relationship with and within the spaces;
- understand the formal structures of spaces and objects;
- use the linear systems of projection which structure the evocations of reality achieved by drawing.
Thus, the students will be able to assume geometry as the structure of the drawing and as a structure of their rational thinking.

Working method

Presencial

Pre-requirements (prior knowledge) and co-requirements (common knowledge)

The previous knowledge on basics Descriptive Geometry and/or Drawing is advisable.

 

Program

1. Approaches on the contribution of geometry to drawing.
2. Reflection on the concept of projection: the principles of projective geometry and its relationship with perceptions of reality.
3. Projection systems: the need, applicability, and intercommunication.
4. Presentation of the linear perspective and axonometric projection systems, reflecting the different origins and applicability.
5. Theoretical concepts on the systems: - Bases of the systems; - Representation of the primitives of geometrical drawing; - Representation of objects and spaces; - Auxiliary geometrical methods; - Theory of the reflexes, in plane mirrors; - Theory of the shadows.
6. Practice of the two projection systems as instruments to knowledge and understanding of space and objects in space.
7. Practice of the two systems as operators of changes in objects and spaces.

Mandatory literature

Amandi Cláudia 340; Ver, fazer, pensar, editar. ISBN: 978-989-746-035-7
Aubert Jean; Axonométrie. ISBN: 2-903539-38-3
Cabezas Gelabert Lino; Análisis gráfico y representación geométrica. ISBN: 84-8338-294-6
Navarro de Zuvillaga Javier; Forma y representación. ISBN: 978-84-460-2018-9
Comar Philippe; La perspective en jeu. ISBN: 2-07-53185-6
Ricca Guilherme; Geometria descritiva. ISBN: 972-31-0547-0
Thomae Reiner; Perspectiva y axonometría
Xavier João Pedro; Perspectiva, perspectiva acelerada e contraperspectiva. ISBN: 972-9483-25-6

Complementary Bibliography

ANDERSEN, Kirsti; The Geometry of an Art - The History of the Mathematical Theory of Perspective from Alberti to Monge , Springer, 2007. ISBN: 978-0-387-25961-1
Arnheim Rudolf; Arte e percepção visual
Baltrusaitis Jurgis; Anamorphoses au thaumaturgus opticus. ISBN: 2-08-012604-0
Cardoso Armando; Sombras e perspectivas
Francastel Pierre; Pintura e sociedade
Gregory R. L.; A^psicologia da visão
Imms, Matthew; ‘Perspective sketchbook c.1809’, sketchbook, June 2008, in J.M.W. Turner: Sketchbooks, Drawings and Watercolours, David Blayney Brown, 2012
Izquierdo Asensi Fernando; Geometria descriptiva. ISBN: 84-604-7480-1
Navarro de Zuvillaga Javier; Imágenes de la perspectiva. ISBN: 84-7844-174-3
Navarro de Zuvillaga Javier; Mirando a través. ISBN: 84-7628-291-5
Panofsky Erwin; A^perspectiva como forma simbólica. ISBN: 972-44-0886-8
Seckel Al; The^great book of optical illusions. ISBN: 1-55297-650-5
Wright Lawrence; Perspective in perspective. ISBN: 0-7100-0791-4

Teaching methods and learning activities

The estimated hours for this semester (HTS) is organized as follows: 57% (HCS) - presentation and explanation of the subjects; - theoretical and practical work for implementation, development and operation of the exercises and for the critical analysis and results evaluation, as a process of progression towards greater autonomy, leading to implementation of a project of representation and intervention in a space used by the students. 43% (HTS) - Development of the practice involved, from the specific proposals, and development of contents as well as reflection/discussion.

Evaluation Type

Distributed evaluation without final exam

Assessment Components

Designation	Weight (%)
Trabalho laboratorial	60,00
Trabalho prático ou de projeto	40,00
Total:	100,00

Amount of time allocated to each course unit

Designation	Time (hours)
Elaboração de projeto	43,00
Trabalho laboratorial	57,00
Total:	100,00

Eligibility for exams

The student's attendance (75%) is an essentially prerequisite to enable ongoing evaluation inherent to the nature of this theoretical-practical course.

Calculation formula of final grade

The final grade in this course will be the result of the weighted sum of partial classifications on: 1st component, 60% Continuous assessment; 2nd component, 40% Assessment of the individual work on geometrical knowledge; The existence of elements of assessment for the two components is mandatory.

Observations

The evaluation will focuses on the progress revealed by the student on the development of his performances on working proposals which will be presented. The evaluation main criteria consist of assessing the student's ability to integrate the acquired knowledge in practical drawing, it is therefore to explore the relationship between representation and understanding: to represent to comprehend and understand to represent. The individual working capacity of the student, his organizational skills and his systematic work, are assessment topics.