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.
teacher profile teaching materials
MIGLIARI R. (1983). FONDAMENTI GEOMETRICI DELLA RAPPRESENTAZIONE PROGETTUALE E TECNICA DELL’ARCHITETTURA. TOMO 2.
Mutuazione: 21002012-1 PARTE I in Scienze dell'architettura L-17 N0 FARRONI LAURA
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.
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. MOODLE, site ftp, TeamsAttendance
mandatory for 75%Type of evaluation
oral exam on Teams, on the acquired knowledge, analytical verification of the curves related to the machine, with and demonstration of the functioning of the prototype with video