B026303 - APPLICATION OF DESCRIPTIVE GEOMETRY

Italian

Revision of elementary geometry.
Elements of Projective Geometry.
Orthogonal Projections.
Central Projection.
Perspective. Perspective through Orthogonal Projections.
Elements of Perspective Restitution.
Parallel Perspective.
Axonometry.

Aterini B., Introduzione ai metodi di rappresentazione della Geometria Descrittiva, Alinea Ed., Firenze 2009.
Aterini B., Il Metodo delle Proiezioni Ortogonali Applicazioni, Alinea Ed., Firenze 2007.
Aterini B. – Pero Nullo A., Il Metodo della Proiezione Centrale Applicazioni, Alinea Ed., Firenze 2003.
Aterini B., Appunti dalle lezioni del corso di Fondamenti ed Applicazioni della Geometria Descrittiva, Alinea Ed., Firenze 2000.
Aterini B., La Prospettiva Parallela, Alinea Ed., Firenze 1995.

The design (‘Disegno’) is not only a language to communicate ideas, but it is a study tool, analysis, which educates the understanding of reality, and in this sense becomes an integral part of the cognitive process of space. In particular for the architect it is essential to know how to graph the project idea and thus "materialize". Indeed, it is through design that the designer to check the shape of the object that proposes to realize, but to do so must be provided with appropriate methodologies and techniques. It is the descriptive geometry that develops the ability to think in three-dimensional space and allows, thanks to the methods of representation, to draw on a flat surface shapes of objects that surround us. The course is set so as to clarify the students which are the methods for representing the three-dimensional reality on the drawing sheet, that is, to obtain the two-dimensional representation of the space that surrounds us. The classes are organized starting from the most commonly used method, that of Orthogonal projections, which serve to illustrate the object in the right relationship and such that it is still measurable. Following are treated the Central Projection and in particular the Perspective, useful for an overview of project ideas, as well as the Axonometry and Parallel Perspective. In addition the course also aims to understand how these methods are, among them, closely related and, after all, indispensable to the architect.

Knowledge of plane geometry.

Lessons on the chalkboard drawings with colored chalk.
Ex-tempore verification after each topic.
Ppoint to illustrate the research-related applications.

Through the topics of the seminar, proposed during the course, you can
experiment the applications of geometry to the field of scientific
research.
These are, for example, the study of the painted architecture, the
anamorphosis two or three dimensional, the gnomonic instruments such
as sundials, armillary spheres and astrolabes.

The exam is held by an individual written exam, an oral exam and
evaluation of the graphics tablets (A2) presented.

APPLICAZIONI DELLA GEOMETRIA DESCRITTIVA
Prof. Barbara Aterini
Corso A (CFU 6)

1. Objectives
The design (‘Disegno’) is not only a language to communicate ideas, but it is a study tool, analysis, which educates to the understanding of reality, and in this sense becomes an integral part of the cognitive process of space. In particular for the architect it is essential to know how to graph the project idea and thus "materialize". Indeed, it is through design that the designer to check the shape of the object that proposes to realize, but to do so must be provided with appropriate methodologies and techniques. It is the Descriptive Geometry that develops the ability to think in three-dimensional space and allows, thanks to the methods of representation, to draw on a flat surface shapes of objects that surround us.
The course is set so as to clarify the students which are the methods for representing the three-dimensional reality on the drawing sheet, that is, to obtain the two-dimensional representation of the space that surrounds us. The classes are organized starting from the most commonly used method, that of Orthogonal projections, which serve to illustrate the object in the right relationship and such that it is still measurable. Following are treated the Central Projection and in particular the Perspective, useful for an overview of project ideas, as well as the Axonometry and Parallel Perspective. In addition the course also aims to understand how these methods are, among them, closely related and, after all, indispensable to the architect.

2. Topics
- Elements of elementary geometry. the plane geometry: basic geometric entities, part aura of a segment, construction of regular polygons, conic. geometry of space: cones and cylinders, sphere, geodetic.
- Elements of Projective Geometry; Central and parallel projection; rollover of plan, perspectivity; Polarity and Antipolarity.
- Correspondence between the real object and its projection.
- Orthogonal Projections: Reference items. Conditions of belonging, parallelism, squareness. Change of the second plane of projection. Overturning of a projecting floor and a generic plan. measurement problems. Homology akin orthogonal. Representations of plane figures and solids with relative shadows. Polyhedra, cones, cylinders, sphere.
- Central Projection: Reference items. Change of the representation of a point. Conditions of belonging, parallelism, squareness. Overturning of a projecting floor and a generic plan. Tipping homology. measurement problems. Perspective. conic sections. Prospect of plane figures and solids with relative shadows. Perspective through Orthogonal. Measuring points. Perspective Restitution of nods
- Parallel Perspective. Reference elements. Representation of architectural elements. Perspective restitution.-
- Axonometry: Reference items.


Through the topics of the seminar, proposed during the course, you can experiment the applications of geometry to the field of scientific research.

3. Mode of Teaching
The course consists of lessons and exercises on the topics covered.
Lessons are conducted by the teacher at the blackboard through drawings made with colored chalk.
Ex-tempore verification after each topic.
By Ppoint will learn the applications of geometry to scientific research.
The final drawings (format A2) will treat an architectural theme of particular interest (to be agreed with the teacher).

4. Review Mode
The exam is held by an individual written exam, an oral exam and evaluation of the graphics tablets (format A2) presented.

5. Bibliography
- B. Aterini,‘Introduzione ai Metodi di Rappresentazione della Geometria Descrittiva’, Alinea Ed., Firenze, 2009 (I ed. 1997).
- B. Aterini,‘Il Metodo delle Proiezioni Ortogonali. Applicazioni’, Alinea Ed., Firenze, 2007 (I ed. 1992 ).
- B. Aterini, ‘Il Metodo della Proiezione Centrale. Applicazioni’, in coll. con A. Pero Nullo, Alinea Ed., Firenze, 2007, (I ed. 1990)
- B. Aterini,‘Appunti dalle lezioni del Corso di Fondamenti ed Applicazioni della Geometria Descrittiva’, Alinea Ed., Firenze, 2007 (I ed. 2000).
- B. Aterini,‘La Prospettiva Parallela’, Alinea Ed., Firenze, 1995.
- B. Aterini,‘Restituzione Prospettica - Misura di elementi rappresentati in una immagine fotografica per il rilievo di architettura’, Alinea Ed., Firenze, 1997.

The Holder of the course
Prof.Arch. Barbara Aterini