| MATHEMATICAL DRAWING MACHINES: HISTORIC DRAWING FROM A PARAMETRIC POINT OF VIEW
(objectives)
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.
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Code
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21002012 |
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Language
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ITA |
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Type of certificate
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Profit certificate
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| Module:
(objectives)
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.
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Code
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21002012-1 |
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Language
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ITA |
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Type of certificate
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Profit certificate
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Credits
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2
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Scientific Disciplinary Sector Code
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ICAR/17
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Contact Hours
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25
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Type of Activity
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Elective activities
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Derived from
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21002012-1 PARTE I in Science-Architecture L-17 N0 FARRONI LAURA
(syllabus)
Presentation through 3d digital models of the spatial genesis of conical projections as the projection or, equivalently, flat sections of a cone ; definition of eachconic curve as geometric locus; analysis and study of the characteristic parameter through graphic methods and analytical methods. parametric and cartesian formulation of conic curves; construction and use of machines to draw conic curves. For each curve students will assemble at least one machine. Other types of curves: caustic, cycloid, spirals. study and construction of the related machine. Study of the use of drawing machines for tracking the curve on italian construction yards during 1800.
(reference books)
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.
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)
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Dates of beginning and end of teaching activities
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From 01/03/2020 to 30/09/2020 |
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Delivery mode
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Traditional
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Attendance
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Mandatory
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Evaluation methods
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Oral exam
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|
|
| Module:
(objectives)
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.
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Code
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21002012-2 |
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Language
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ITA |
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Type of certificate
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Profit certificate
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|
Credits
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2
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Scientific Disciplinary Sector Code
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MAT/05
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Contact Hours
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25
|
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Type of Activity
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Elective activities
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Derived from
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21002012-2 PARTE II in Science-Architecture L-17 N0 MAGRONE PAOLA
(syllabus)
PRESENTATION THROUGH 3D DIGITAL MODELS OF THE SPATIAL GENESIS OF CONICAL PROJECTIONS AS THE PROJECTION or, equivalently, FLAT SECTIONS OF A CONE ; DEFINITION OF EACHCONIC CURVE AS GEOMETRIC LOCUS; ANALYSIS AND STUDY OF THE CHARACTERISTIC PARAMETER THROUGH GRAPHIC METHODS AND ANALYTICAL METHODS. PARAMETRIC AND CARTESIAN FORMULATION OF CONIC CURVES; CONSTRUCTION AND USE OF MACHINES TO DRAW CONIC CURVES. FOR EACH CURVE STUDENTS WILL ASSEMBLE AT LEAST ONE MACHINE. OTHER TYPES OF CURVES: CAUSTIC, cycloid, SPIRALS. STUDY AND CONSTRUCTION OF THE RELATED MACHINE. STUDY OF THE USE OF DRAWING MACHINES FOR TRACKING THE CURVE ON ITALIAN CONSTRUCTION YARDS DURING 1800.
(reference books)
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.
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.
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Dates of beginning and end of teaching activities
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From 01/03/2020 to 30/09/2020 |
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Delivery mode
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Traditional
|
|
Attendance
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Mandatory
|
|
Evaluation methods
|
Oral exam
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Università Roma Tre