Thepaper investigates the properties of the Lambert equivalent azimuthal projection,which is often used in normal aspect in atlases for maps of the northern and southern hemispheres.The field of research is theoretica...Thepaper investigates the properties of the Lambert equivalent azimuthal projection,which is often used in normal aspect in atlases for maps of the northern and southern hemispheres.The field of research is theoretical in nature and assumes a mastery of mathematics because it deals with map projections.The transverse aspect is commonly used for eastern and western hemisphere atlas maps.In addition,the Hammer projection was created fromthe transverse aspect of that projection.Therefore,if we want to get to know the Hammer projection better,we must first investigate the Lambert equivalent azimuthal projection in detail.While investigating this projection,it was observed that the equations of the transverse aspect can be represented in several ways.After that,it was necessary to determine the most suitable form of the equations of that projection for the calculation of partial derivatives,which are necessary for determining distortions.The article presents the distribution of factors of local linear scales along the(pseudo)meridians and(pseudo)parallels,and found that in the Lambert equivalent azimuthal projection,there can exist only one point where the distortion is equal to zero.The general case of a normal and transverse Lambert equivalent azimuthal projection has not been observed so far,and that is the new contribution of this article.展开更多
文摘Thepaper investigates the properties of the Lambert equivalent azimuthal projection,which is often used in normal aspect in atlases for maps of the northern and southern hemispheres.The field of research is theoretical in nature and assumes a mastery of mathematics because it deals with map projections.The transverse aspect is commonly used for eastern and western hemisphere atlas maps.In addition,the Hammer projection was created fromthe transverse aspect of that projection.Therefore,if we want to get to know the Hammer projection better,we must first investigate the Lambert equivalent azimuthal projection in detail.While investigating this projection,it was observed that the equations of the transverse aspect can be represented in several ways.After that,it was necessary to determine the most suitable form of the equations of that projection for the calculation of partial derivatives,which are necessary for determining distortions.The article presents the distribution of factors of local linear scales along the(pseudo)meridians and(pseudo)parallels,and found that in the Lambert equivalent azimuthal projection,there can exist only one point where the distortion is equal to zero.The general case of a normal and transverse Lambert equivalent azimuthal projection has not been observed so far,and that is the new contribution of this article.
