The paper presents a method of construction of cylindrical and azimuthal equalarea map projections of a triaxial ellipsoid. Equations of a triaxial ellipsoid are a function of reduced coordinates and functions of projections are expressed with use of the normal elliptic integral of the second kind and Jacobian elliptic functions. This solution allows us to use standard methods of solving such integrals and functions. The article also presents functions for the calculation of distortion. The maps illustrate the basic properties of developed map projections. Distortion of areas and lengths are presented on isograms and by Tissot’s indicatrixes with garticules of reduced coordinates. In this paper the author continues his considerations of the application of reduced coordinates to the construction of map projections for equidistant map projections. The developed method can be used in planetary cartography for mapping irregular objects, for which tri-axial ellipsoids have been accepted as reference surfaces. It can also be used to calculate the surface areas of regions located on these objects. The calculations were carried out for a tri-axial ellipsoid with semi-axes a = 267:5 m, b = 147 m, c = 104:5 m accepted as a reference ellipsoid for the Itokawa asteroid.
According to the Grant Map of the Ministry of Development (MoD) as of March-April 2017, there were 1716 urban regeneration (revitalization) projects implemented in Poland between 2007-2013. Data from 11 voivodeships (out of 16 regions NUTS 2 in Poland) and 977 projects was sufficient to provide a representative sample (56,9% of projects presented in the Grant Map). The main methods used in the article included observation and review of MoD statistical data and literature on the subject. As observed by the author, between 2007-2013 the definition of urban regeneration (revitalization) was only mentioned in one of the footnotes to the housing guidelines, which was a poor legal basis for the regional managing authorities. Similarly, there was no solid basis in the strategic documents (national) for that period: they did not provide any definition of revitalization. It was in the interest of the beneficiaries, as well as – partly – in the interest of those managing authorities to satisfy the local needs, especially those needs which were not considered the result of the shift to the post-industrial era, but rather as a result of numerous institutional and political events. Due to these features, the period 2007-2013 was dominated by infrastructure projects aimed at the quality of life but also efficient in terms of spending European money. It seems that there was an agreement between regional managing authorities and the benefi ciaries (potential voters) as to the way of spending the revitalization funding. This was understood differently at national level, but because institutions at this level were not involved directly in the urban regeneration (revitalization), their influence on regional units was minor. Even more so because the managing authorities were also interested in speeding up the process of spending European resources.