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MODELLING THE PROPERTIES OF ELLIPTICITY: LINEAR VARIATIONS
The authors discuss some of the properties of linear variations of ellipticity within the framework of planimetry. Six elliptic models were constructed through the employment of geometrography- related methods: an ellipse interrelated with the (i) golden proportion and a (ii) focal plane rectangle; (iii) a constant of the perimetry of the focal diamond; (iv) compression of the base circle in the axial direction (y); (v) differential straight lines of the moving point of an ellipse; (vi) compass incidence, a composition of transformations of the shift and homothety. Characteristic lines that run in the neighborhood of some point of the ellipse are demonstrated. The characteristic lines in question include those that can be employed as part of various composite solutions related to the fragments of structures being constructed. A set of closed polygons and curves with selected lines passing through the characteristic points of the circle squaring - these are the geometrographic structures that can form the basis of composite solutions to the problem of design. The authors also believe that the properties employed by the golden mean increase the aesthetic constituent of the solution.
MODELLING THE PROPERTIES OF ELLIPTICITY: LINEAR VARIATIONS
The authors discuss some of the properties of linear variations of ellipticity within the framework of planimetry. Six elliptic models were constructed through the employment of geometrography- related methods: an ellipse interrelated with the (i) golden proportion and a (ii) focal plane rectangle; (iii) a constant of the perimetry of the focal diamond; (iv) compression of the base circle in the axial direction (y); (v) differential straight lines of the moving point of an ellipse; (vi) compass incidence, a composition of transformations of the shift and homothety. Characteristic lines that run in the neighborhood of some point of the ellipse are demonstrated. The characteristic lines in question include those that can be employed as part of various composite solutions related to the fragments of structures being constructed. A set of closed polygons and curves with selected lines passing through the characteristic points of the circle squaring - these are the geometrographic structures that can form the basis of composite solutions to the problem of design. The authors also believe that the properties employed by the golden mean increase the aesthetic constituent of the solution.
MODELLING THE PROPERTIES OF ELLIPTICITY: LINEAR VARIATIONS
Polezhaev Yuriy Olegovich (Autor:in) / Borisova Anzhelika Yurevna (Autor:in)
2012
Aufsatz (Zeitschrift)
Elektronische Ressource
Unbekannt
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