21002012-1 - PARTE I

THE GOAL OF THIS COURSE IS TO UNDERLINE THE EXISTING RELATIONS, BETWEEN GRAPHIC AND ANALYTIC REPRESENTATION, BY A CONTEMPORARY APPROACH TO THE DISCIPLINES OF DRAWING AND MATHEMATICS. THE GRAPHIC CONSTRUCTION OF A CURVE WITH RULER AND COMPASS WILL BE FOLLOWED BY THE ANALYTICAL REPRESENTATION WITH PARAMETRIC AD CARTESIAN EQUATIONS. THEN THE CONSTRUCTION OF HISTORICAL DRAWING INSTRUMENTS WILL FOLLOW. THE INTERDISCIPLINARY GOALS OF THIS COURSE ARE: DEVELOP THE ATTITUDE OF STUDENTS TO UNDERSTAND AND FORESEE THE FEATURES OF A FIGURATIVE PROJECT ON A TWO-DIMENSIONAL SUPPORT, FROM THE BEGINNING OF ITS INITIAL REPRESENTATION; PROVIDE SCIENTIFIC AND CULTURAL BASIS TO HANDLE DIGITAL MODELLING; STRENGTHEN THEIR ABILITY TO INTEGRATE KNOWLEDGE COMING FROM DIFFERENT DISCIPLINES.

FARRONI LAURA

teacher profile | teaching materials

Programme

Presentation through 3d digital models of the spatial genesis of the conics as projections of the circle or, equivalently, plane sections of the right circular cone; definition of each conic as a geometric locus; analysis and study of the parameters which determine a conic curve and its shape through graphical and analytical methods; parametric and Cartesian formulation; construction and use of machines for drawing conics. Different types of machines will be built for each curve. Other types of curves will also be addressed: caustics, cycloids, spirals, with the study of the related drawing machine and investigation of the related treatises. Furthermore, the relationship between geometry and construction will be highlighted with the study of the use of drawing machines for tracing curves in the construction yard.


Core Documentation

BARTOLINI BUSSI M.G.C, MASCHIETTO M. (2006). MACCHINE MATEMATICHE : DALLA STORIA ALLA SCUOLA.
MIGLIARI R. (1983). FONDAMENTI GEOMETRICI DELLA RAPPRESENTAZIONE PROGETTUALE E TECNICA DELL’ARCHITETTURA. TOMO 2.



Reference Bibliography

BARTOLINI BUSSI M.G.C, MASCHIETTO M. (2006). MACCHINE MATEMATICHE : DALLA STORIA ALLA SCUOLA. CIGOLA M. (2001) Il disegno ed i suoi strumenti tra Quattrocento e Cinquecento. IN METODI E TECNICHE DELLA RAPPRESENTAZIONE (Università degli Studi di Cassino) MIGLIARI R. (1983). FONDAMENTI GEOMETRICI DELLA RAPPRESENTAZIONE PROGETTUALE E TECNICA DELL’ARCHITETTURA. TOMO 2. MIGLIARI R. (2009). GEOMETRIA DESCRITTIVA. RONDELET G.B. (1833). TRATTATO TEORICO PRATICO DELL’ARTE DI EDIFICARE, TOMO II. L’ARCHITETTURA PRATICA. DISEGNI DEGLI EDIFIZI RISPONDENTI AI BISOGNI MODERNI, ANNO II, FASCICOLO VII (1891), 26-27. R.C. YATES, A HANDBOOK ON CURVES AND THEIR PROPERTIES, (1947) other texts will be indicated by the teachers during the course

Type of delivery of the course

The course includes a first phase of lectures and then laboratorial sessions; during the laboratorial sessions the takes place a confrontation between teachers and students on the topics chosen for the presentation. Specifically, theoretical lessons will be provided on the fundamentals of graphic and analytical representation, construction of prototypes with the teacher's guidance, interpretation of exemplifying historical treatises; study and interpretation of a historical machine through a laboratory approach. In the case of an extension of the health emergency from COVID-19, all the provisions that regulate the methods of carrying out the teaching activities and student assessment will be implemented.

Attendance

mandatory for 75%

Type of evaluation

oral exam, on the acquired knowledge, analytical verification of the curves related to the machine, with and demonstration of the functioning of the prototype with video. In the event of an extension of the health emergency from COVID-19, all the provisions that regulate the methods of carrying out the teaching activities and student assessment will be implemented. In particular, the following methods will apply: remote mode: exams on the Teams platform, following delivery of digital and analog drawings on Onedrive (pdf) (ongoing exercises and final digital tables and video). The delivery of the documents is expected one week before the date of the round. Oral exam on the topics of the course and on the assigned texts.