Search results for " Euclidean geometry"

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Genesi geometrica delle volte centriche

1996

Un'analisi completa degli organismi voltati comporta lo studio delle molteplici componenti necessarie alla loro definizione: configurazione geometrica, sistema costruttivo, area storico-geografica di appartenenza, interpretazioni Stilistiche. L’obiettivo di questo studio è indirizzato all' analisi delle volte continue su pianta centrica definibili attraverso le leggi della geometria euclidea. L’indagine si pone all'interno dei confini relativi alla loro configurazione geometrica e il criterio adottato, svincolato da classificazioni di carattere tipologico o stilistico, propone l'identificazione di famiglie geometriche in base alla figura del poligono di base dell'impianto. Si può identifica…

A comprehensive analysis of vaulted bodies involves the study of the multiple components necessary for their definition: geometric configuration construction system historical-geographical area of belonging interpretations Stylistic. The objective of this study is directed to the 'analysis of continuous vaults on a centric plan definable through the laws of Euclidean geometry. The investigation arises within the boundaries related to their geometric configuration and the criterion adopted freed from typological or stylistic classifications proposes the identification of geometric families based on the figure of the basic polygon of the plant. An ordering process can be identified to explain the compositional process of curved-roofed central plants: that is the elaboration of a series of theoretical models developed according to an abacus referring to the basic geometries of the triangle square and pentagon is possible. It is not intended to impose a classification but to propose a study tool that thanks to a few simple compositional rules develops a very large number of configurationthe question remains as to why only a part has been used for the realization of vaulted covered centric buildings but this presumes considerations of a historical formal and constructive nature extraneous to this discussion.Settore ICAR/17 - Disegno
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I poligoni stellati: origini storiche ed implicazioni didattiche

2019

The genesis of mathematical concepts in the evolutionary line of human thought in the long story and the genesis in individual optics possess evident analogies. Starting from this assumption, we describe an activity presented to 15-year-old students; the aim was to consolidate fundamental concepts of Euclidean geometry related to regular polygons. The experimentation has used a didactic approach based on the historical evolution of the formal definition of regular star polygon through the centuries. The activity and the results obtained in terms of internalization of the concepts in the students are showed.

storia della matematicaStar polygons Euclidean geometry History of Mathematics Mathematics Educationdidattica della matematicaconcezioni operativa e strutturalestoria della matematica didattica della matematica concezioni operativa e strutturaleSettore MAT/04 - Matematiche Complementari
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