Università Roma Tre

Tools and materials for drawing, graphic symbols and conventions. Basic geometric elements. Issues of parallelism, perpendicularity, distance, belonging. Main improper elements. Operations of projection and section, perspectives and homological relations.
Methods of architectural representation: Orthographic projections,Axonometric projection,Central Projection – Perspective,Quoted projections,Theory of the shadows.
For each topic, the spatial genesis, the elements of reference and the representation of basic geometric elements will be discussed. We will then talk about belonging conditions, parallelism, squareness, true size and shape of plane figures, measurement and intersections.

Students are invited to register on the course website fagd.altervista.org, which contains further recommended readings, the list of topics, the links to the exercises assigned in the classroom, exercises carried out, examples of drwaings executed by students from previous years.

G. SPADAFORA, FONDAMENTI E APPLICAZIONI DI GEOMETRIA DESCRITTIVA. LE PROIEZIONI PARALLELE. PRINCIPI TEORICI E APPLICAZIONI. FRANCO ANGELI EDITORE, MILANO 2019
M. DOCCI, M. GAIANI, D. MAESTRI, SCIENZA DEL DISEGNO, CITTÀ STUDI EDIZIONI,TORINO, 2011, 2A ED.
M. CANCIANI, IL DISEGNO IN PROSPETTIVA, KAPPA, ROMA, 2005.

They are described, through the various representative methods, orthogonal projections, axonometry and perspective, the conditions of belonging, of parallelism, intersection and the determination of the true size and shape of the plane figures. Particular importance will be given to the sections and their geometric construction, to the planar development of figures, belonging to a volumetric model, so that this can be reconstructed manually. Various historical references to representative methods will be given and some drawings by various authors will be analysed.
In detail we will study: the method of the double orthogonal projection construction of the fundamental geometric elements - representation of points, straight lines and planes - projection and intersection the measurement of the slope angle and the true shape of a flat figure - planar development - rotational solids - the sections of volumes and simple architectural bodies and the intersections between different volumes the theory of shadows.
The representation of the main geometric elements in the axonometry: points, straight and plane the oblique axonometry, military and knight - relationship of axonometric affinity determination of the true shape of a figure orthogonal axonometry direct construction - reference elements - intersection problems - axonometry of solids - graphic construction of vaulted roofs: cross vault and pavilion.
Spatial genesis of the reference elements in the perspective - representation of the fundamental geometric elements: points, straight, plane - conditions of belonging, parallelism, perpendicularity - straight points of measurement, angles - resolving processes of the perspective - perspective to vertical, horizontal and oblique - problems of intersection and true shape construction and measurement of angles return perspective.

G. Spadafora, Fondamenti e applicazioni di geometria descrittiva, Franco Angeli, 2019
CANCIANI M., I DISEGNI DI PROGETTO, COSTRUZIONI, TIPI E ANALISI, DE AGOSTINI, TORINO, 2009.
CANCIANI M., IL DISEGNO IN PROSPETTIVA, ANALISI, ELEMENTI FONDAMENTALI, METODI RISOLUTIVI E TIPI, KAPPA, ROMA 2005.
M. DOCCI, M. GAIANI, D. MAESTRI, SCIENZA DEL DISEGNO, CITTÀ STUDI EDIZIONI, NOVARA, 2021.
DOCCI M., MIGLIARI R., SCIENZA DELLA RAPPRESENTAZIONE, NIS, ROMA 1992.
MIGLIARI R. GEOMETRIA DEI MODELLI, KAPPA, ROMA 2003.