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Respecting the hierarchy in the construction of mosques is one of the principles that creates a different spatial arrangement. Since the physical structure and the components of the internal elements in each historical period have similarities and differences in their structural system, and theories based on the precedence of some works over the physical characteristics of late examples based on the time period The construction of the building has been proposed. In the current research, the Imam Mosque of Isfahan as an earlier example than the Hakim Mosque in Isfahan city and the Nasir al-Mulk Mosque as a later example than the Vakil Mosque of Shiraz will be examined as research examples. The purpose of this research is to examine the physical structure of the entrance space of mosques and to answer the question, what is the relationship between the system of proportionality and the structure of the entrance space of the above mosques? This research was based on field-library data and precise geometric and arithmetical analysis. In the following, the comparative method was used in the system of geometric proportions of the plan to measure the entrance space of the above samples. Measuring the proportions of the length to width of the physical elements of the entrance space of the mosques represented the physical structure of the regular hexagonal base shape and the use of arithmetic-geometric system and similarity in the overall structure of the mosques. Despite the fact that the repetition and similarity of the details of the common features does not necessarily confirm the following and imitating one of the other, but on the other hand, the use of repeated concepts in the general structure of the above examples causes unity in this section. It is from the entire scope of the building and the difference in the physical components of the entrance space in terms of geometric and arithmetical proportions can be a representation of the apparent plurality at the same time as the substantive unity in the physical structure of the religious building.
 

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Architecture during the Qajar era witnessed great changes because of its relations with other countries. The architecture of mosques located in the city of Shiraz were no exception. Moshir al-Molk and Nasir al-Molk mosques are buildings from the Qajar period which due to their location in these developments and the architectural background of Shiraz, with their unique decorative features in tile and architectural innovations have been of great interest to scholars. Therefore, the purpose of this research is to review the historical process of these two buildings, to examine the innovations that have been made in the elements that make up the mosques and to evaluate their religious and educational activities. In other words, the most important question of this research is: what was the actual performance of Moshir al-Molk and Nasir al-Molk mosques? and what are the architectural features of these two mosques that have not been investigated to a great extent? In the present study, in order to answer the research questions and objectives, field studies and mixed-method research including case-study and historical-interpretation for introducing, categorizing and finding comparative relationships have been used. The results of this research show that the Nasir al-Molk and Moshir al-Molk mosques have a consistent relationship in their architectural elements including the yard, fountain, and facade. On the other hand, these two mosques have a religious-educational function and in comparison to other historical buildings have witnessed great changes in their construction. This is mainly evident in the constructions’ elements such as fluorescent, entrance, ivan, clock tower, and the ornamentations in the facade.