ON MENELAUS' SPHERICS III.5 IN ARABIC MATHEMATICS, II: NAṢĪR AL-DĪN AL-ṬŪSĪ AND IBN ABĪ JARRĀDA

2015 ◽  
Vol 25 (1) ◽  
pp. 1-32 ◽  
Author(s):  
Roshdi Rashed ◽  
Athanase Papadopoulos

AbstractIn his Sphaerica, Menelaus did not prove Proposition III.5 which is particularly important. He only gave an outline of a proof. Once the Sphaerica were translated into Arabic, mathematicians, starting from the end of the 9th century on, took up this proof. That was made possible to Ibn ʿIrāq thanks to the development of spherical geometry. A first paper contained the history of his contribution. Two other mathematicians, from the 13th century – Naṣīr al-Dīn al-Ṭūsī and Ibn Abī Jarrāda – worked out again the proof of the proposition with the help of Menelaus' book and of the new acquisitions of Ibn ʿIrāq. This is the subject of this second paper.

space&FORM ◽  
2021 ◽  
Vol 2021 (47) ◽  
pp. 227-238
Author(s):  
Adriana Sowała ◽  

The Old Town in Sieradz is one of the oldest and best-preserved medieval urban complexes in Poland. In its center there is the Old Market Square, which was marked out at the intersection of important trade routes in the 13th century. Unfortunately, to this day, the center-market buildings, including the town hall, have not been preserved. Moreover, no photo or drawing showing the appearance of the Sieradz seat of municipal authorities has survived. In connection with the above, the article attempts to present the history of the repeatedly rebuilt town hall in Sieradz from different periods, as well as plans for its reconstruction. For this purpose, the available archival materials, the results of archaeological research and the literature on the subject were used, the analysis of which allowed to draw conclusions about the history of the town hall in Sieradz.


2019 ◽  
Vol 15 (1) ◽  
pp. 71-81
Author(s):  
F. O. Nofal

In this article the philosophical and religious heritage of the Zaydi ‘alimof the 13th century, al-Sayyid Humaydan ibn Yahya al-Qasimi, is investigated. For the very first time in the history of philosophical Islamic studies, the theory of knowledge of the thinker is considered: in particular it is proved that gnoseological constructions of as-Sayyid have anti-Mu‘tazilte character and sum up the result of Mutazilite’ philosophy domination in the XI–XIX culture of Yemen. Separately the original Humaydan’s doctrine about prerequisites of reliable speculation, which designating a knowledge limit by borders of a material universe, is described. Besides, the conceptualistic theory belonging to the theologian’s plume is given in this work: according to Humaydan, the subject comprehends the things in its attributes called as ‘truths’ of all created-by-God objects. As for the Mu‘tazilte’ categories, the ‘alimdevotes to it so many interesting passages of his apology, calling it a "blamed innovation", which seems false according to early Muslim thinkers. Also, the anthropology of the outstanding Zaydi philosopher is considered by the author of article: being a consecutive dichotomist, as-Sayyid assigns to soul a number of negative properties (as like as natural tendency to doubt and defect). Contrary to soul the reason, according to the theologian, is a divine virtue and the pure informative ability which is selectively granted by the Creator to the people. The diff erence between people’s reasons truly defines their degree of ‘right duty’.


Author(s):  
Dmitriy M. Timokhin ◽  

Сollapse and disintegration of the Eastern part of the Seljuk state created favorable environment for the strengthening of local dynasties, which used it in order to build up their own military and land resources. The death of Sultan Sanjar in 1157 finally removed even formal dependence on the Seljuk house and provoked struggle between various actors for the supremacy in Khorasan. The most powerful rivals in this case proved to be the rulers of Khwarezm, belonging to the Anushteginid dynasty, and the Sultan of the Ghur region, who were able to extend their influence on the territory of Afghanistan and Northern India. From the military capabilities and political influence point of view, the latter posed as a favorite in this struggle, but at the beginning of the 13th century, the Ghurids were defeated, and all their possessions were absorbed in the Khwarezm state. In this article we would like not so much as to explore this confrontation, but rather to pay attention to its description in the Arab-Persian sources. Special attention will be paid to the written monuments of the 13th century, many authors of which were eyewitnesses of this struggle and included valuable information on the subject in their descriptions. We will also note the contradictions in the description of the struggle between Khwarezm and Ghur in the Arab-Persian historical works, the authors’ evaluation characteristics and their own explanations of why the Khwarezm-Shahs managed to win against such a powerful rival. We hope to uphold the interest of the academic community in the history of these state entities and the struggle between them.


Paleobiology ◽  
1980 ◽  
Vol 6 (02) ◽  
pp. 146-160 ◽  
Author(s):  
William A. Oliver

The Mesozoic-Cenozoic coral Order Scleractinia has been suggested to have originated or evolved (1) by direct descent from the Paleozoic Order Rugosa or (2) by the development of a skeleton in members of one of the anemone groups that probably have existed throughout Phanerozoic time. In spite of much work on the subject, advocates of the direct descent hypothesis have failed to find convincing evidence of this relationship. Critical points are:(1) Rugosan septal insertion is serial; Scleractinian insertion is cyclic; no intermediate stages have been demonstrated. Apparent intermediates are Scleractinia having bilateral cyclic insertion or teratological Rugosa.(2) There is convincing evidence that the skeletons of many Rugosa were calcitic and none are known to be or to have been aragonitic. In contrast, the skeletons of all living Scleractinia are aragonitic and there is evidence that fossil Scleractinia were aragonitic also. The mineralogic difference is almost certainly due to intrinsic biologic factors.(3) No early Triassic corals of either group are known. This fact is not compelling (by itself) but is important in connection with points 1 and 2, because, given direct descent, both changes took place during this only stage in the history of the two groups in which there are no known corals.


2020 ◽  
Vol 48 (3-4) ◽  
pp. 13-26
Author(s):  
Brandon W. Hawk

Literature written in England between about 500 and 1100 CE attests to a wide range of traditions, although it is clear that Christian sources were the most influential. Biblical apocrypha feature prominently across this corpus of literature, as early English authors clearly relied on a range of extra-biblical texts and traditions related to works under the umbrella of what have been called “Old Testament Pseudepigrapha” and “New Testament/Christian Apocrypha." While scholars of pseudepigrapha and apocrypha have long trained their eyes upon literature from the first few centuries of early Judaism and early Christianity, the medieval period has much to offer. This article presents a survey of significant developments and key threads in the history of scholarship on apocrypha in early medieval England. My purpose is not to offer a comprehensive bibliography, but to highlight major studies that have focused on the transmission of specific apocrypha, contributed to knowledge about medieval uses of apocrypha, and shaped the field from the nineteenth century up to the present. Bringing together major publications on the subject presents a striking picture of the state of the field as well as future directions.


Author(s):  
John Chambers ◽  
Jacqueline Mitton

The birth and evolution of our solar system is a tantalizing mystery that may one day provide answers to the question of human origins. This book tells the remarkable story of how the celestial objects that make up the solar system arose from common beginnings billions of years ago, and how scientists and philosophers have sought to unravel this mystery down through the centuries, piecing together the clues that enabled them to deduce the solar system's layout, its age, and the most likely way it formed. Drawing on the history of astronomy and the latest findings in astrophysics and the planetary sciences, the book offers the most up-to-date and authoritative treatment of the subject available. It examines how the evolving universe set the stage for the appearance of our Sun, and how the nebulous cloud of gas and dust that accompanied the young Sun eventually became the planets, comets, moons, and asteroids that exist today. It explores how each of the planets acquired its unique characteristics, why some are rocky and others gaseous, and why one planet in particular—our Earth—provided an almost perfect haven for the emergence of life. The book takes readers to the very frontiers of modern research, engaging with the latest controversies and debates. It reveals how ongoing discoveries of far-distant extrasolar planets and planetary systems are transforming our understanding of our own solar system's astonishing history and its possible fate.


2020 ◽  
Vol 65 (Special Issue) ◽  
pp. 23-33
Author(s):  
Alin Constantin Corfu

"A Short Modern History of Studying Sacrobosco’s De sphaera. The treatise generally known as De sphaera offered at the beginning of the 13th century a general image of the structure of the cosmos. In this paper I’m first trying to present a triple stake with which this treaty of Johannes de Sacrobosco (c. 1195 - c. 1256). This effort is intended to draw a context upon the treaty on which I will present in the second part of this paper namely, a short modern history of studying this treaty starting from the beginning of the 20th century up to this day. The first stake consists in the well-known episode of translation of the XI-XII centuries in the Latin milieu of the Greek and Arabic treaties. The treatise De sphaera taking over, assimilating and comparing some of the new translations of the texts dedicated to astronomy. The second Consists in the fact that Sacrobosco`s work can be considered a response to a need of renewal of the curriculum dedicated to astronomy at the University of Paris. And the third consists in the novelty and the need to use the De sphaera treatise in the Parisian University’s curriculum of the 13th century. Keywords: astronomy, translation, university, 13th Century, Sacrobosco, Paris, curriculum"


Author(s):  
Vera V. Serdechnaia ◽  

The article is devoted to the analysis of the concept of literary romanticism. The research aims at a refinement of the “romanticism” concept in relation to the history of the literary process. The main research methods include conceptual analysis, textual analysis, comparative historical research. The author analyzes the semantic genesis of the term “romanticism”, various interpretations of the concept, compares the definitions of different periods and cultures. The main results of the study are as follows. The history of the term “romanticism” shows a change in a number of definitions for the same concept in relation to the same literary phenomena. By the end of the 20th century, realizing the existence of significant contradictions in the content of the term “romanticism”, researchers often come to abandon it. At the same time, the steady use of the term “romanticism” testifies to the subject-conceptual component that exists in it, which does not lose its relevance, but just needs a theoretical refinement. Conclusion: one have to revise an approach to romanticism as a theoretical concept, based on the change in the concept of an individual in Europe at the end of the 18th century. It is the newly discovered freedom of an individual predetermines the rethinking for the image of the author as a creator and determines the artistic features of literary romanticism.


2018 ◽  
Vol 15 (1) ◽  
pp. 97
Author(s):  
Muhamad Murtadlo

Solor Island, East Flores considered as one gate of the presence of three major religions (Islam, Catholicism, Christianity) in East Nusa Tenggara. The existence of Lohayong fort built by Portuguese (1566) became the beginning discussionabout history of religion in that area. This study was formulated to answer the question: whether Islam first present on the Solor Island? What kinds of evidencesthat prove of existence Islam on this island? Using archaeological and literature studies, the study concluded that there is some evidence like the presence of ulama Joe Pattiduri in Menanga at 13th century, the Fort of Menanga and the alliance of the five royal beach (Solor Watanlema). This facts also shows that Islam has been present before the Portuguese presence in the island. Keywords: Sites, Menanga, Watanlema Pulau Solor, Flores Timur menjadi saksi penting masuknya tiga agama besar (Islam, Katholik, Kristen) di Nusa Tenggara Timur (NTT). Keberadaan Benteng Lohayong yang dibangun Portugis (1566) menjadi awal diskusi masuknya agama di NTT. Penelitian ini dirumuskan untuk menjawab pertanyaan: apakah Islam lebih dahulu hadir di Pulau Solor? bukti apa saja yang bisa kita saksikan tentang Islam di Pulau Solor ini? Pendekatan kajian menggunakan studi arkeologi dan pustaka. Penelitian ini menyimpulkan bahwa ada beberapa bukti seperti hadirnya ulama Joe Pattiduri di Menanga abad 13, keberadaan Benteng Menanga dan Aliansi 5 kerajaan pantai Solor Watanlema. Fakta ini juga menunjukkan bahwa bahwa Agama Islam telah hadir sebelum Portugis hadir di Pulau Solor. Kata-kata Kunci: Situs, Menanga, Watan Lema


2020 ◽  
Vol 15 (2) ◽  
pp. 68
Author(s):  
А. Н. Сухов

This given article reveals the topicality not only of destructive, but also of constructive, as well as hybrid conflicts. Practically it has been done for the first time. It also describes the history of the formation of both foreign and domestic social conflictology. At the same time, the chronology of the development of the latter is restored and presented objectively, in full, taking into account the contribution of those researchers who actually stood at its origins. The article deals with the essence of the socio-psychological approach to understanding conflicts. The subject of social conflictology includes the regularities of their occurrence and manifestation at various levels, spheres and conditions, including normal, complicated and extreme ones. Social conflictology includes the theory and practice of diagnosing, resolving, and resolving social conflicts. It analyzes the difficulties that occur in defining the concept, structure, dynamics, and classification of social conflicts. Therefore, it is no accident that the most important task is to create a full-fledged theory of social conflicts. Without this, it is impossible to talk about effective settlement and resolution of social conflicts. Social conflictology is an integral part of conflictology. There is still a lot of work to be done, both in theory and in application, for its complete design. At present, there is an urgent need to develop conflict-related competence not only of professionals, but also for various groups of the population.


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