New proofs of certain characterisations of cyclic circumscriptible quadrilaterals

2019 ◽  
Vol 103 (558) ◽  
pp. 401-408
Author(s):  
Sadi Abu-Saymeh ◽  
Mowaffaq Hajja

A convex quadrilateral ABCD is called circumscriptible or tangential if it admits an incircle, i.e. a circle that touches all of its sides. A typical circumscriptible quadrilateral is depicted in Figure 1, where the incircle of ABCD touches the sides at, Aʹ, Bʹ, Cʹ and Dʹ. Notice that labellings such as AAʹ = ADʹ = a are justified by the fact that two tangents from a point to a circle have equal lengths (a, b, c and d in Figure 1 are called tangent lengths). This simple fact also implies that if x, y, and z are the angles shown in the figure, then x = y. In fact, if AD and BC are parallel, then x = y = 90°. Otherwise, the extensions of AD and BC would meet, say at Q, with QDʹ. Hence x = y. Thus x = y in all cases, and sin x = sin y = sin z. We shall use this observation freely. Also we shall denote the vertices and vertex angles of a polygon by the same letters, but after making sure that no confusion may arise.

2010 ◽  
Vol 1 (1) ◽  
pp. 1-19
Author(s):  
Ahmed Akgunduz

AbstractIslamic Law is one of the broadest and most comprehensive systems of legislation in the world. It was applied, through various schools of thought, from one end of the Muslim world to the other. It also had a great impact on other nations and cultures. We will focus in this article on values and norms in Islamic law. The value system of Islam is immutable and does not tolerate change over time for the simple fact that human nature does not change. The basic values and needs (which can be called maṣlaḥa) are classified hierarchically into three levels: (1) necessities (Ḍarūriyyāt), (2) convenience (Ḥājiyyāt), and (3) refinements (Kamāliyyāt=Taḥsīniyyāt). In Islamic legal theory (Uṣūl al‐fiqh) the general aim of legislation is to realize values through protecting and guaranteeing their necessities (al-Ḍarūriyyāt) as well as stressing their importance (al‐ Ḥājiyyāt) and their refinements (taḥsīniyyāt).In the second part of this article we will draw attention to Islamic norms. Islam has paid great attention to norms that protect basic values. We cannot explain all the Islamic norms that relate to basic values, but we will classify them categorically. We will focus on four kinds of norms: 1) norms (rules) concerned with belief (I’tiqādiyyāt), 2) norms (rules) concerned with law (ʿAmaliyyāt); 3) general legal norms (Qawā‘id al‐ Kulliyya al‐Fiqhiyya); 4) norms (rules) concerned with ethics (Wijdāniyyāt = Aḵlāqiyyāt = Ādāb = social and moral norms).


Author(s):  
Katherine Carté Engel

The very term ‘Dissenter’ became problematic in the United States, following the passing of the First Amendment. The formal separation of Church and state embodied in the First Amendment was followed by the ending of state-level tax support for churches. None of the states established after 1792 had formal religious establishments. Baptists, Congregationalists, Presbyterians, and Methodists accounted for the majority of the American population both at the beginning and end of this period, but this simple fact masks an important compositional shift. While the denominations of Old Dissent declined relatively, Methodism grew quickly, representing a third of the population by 1850. Dissenters thus faced several different challenges. Primary among these were how to understand the idea of ‘denomination’ and also the more general role of institutional religion in a post-establishment society. Concerns about missions, and the positions of women and African Americans are best understood within this context.


Author(s):  
Laurent Pasquier ◽  
Guy Minguet ◽  
Sylvie Moisdon-Chataigner ◽  
Pascal Jarno ◽  
Philippe Denizeau ◽  
...  

AbstractGenetic testing is accepted to be a common practice in many medical specialties. These genetic tests raise issues such as respect for basic rights, how to handle results and uncertainty and how to balance concerns for medical confidentiality with the rights of third parties. Physicians need help to deal with the rapid development of genomic medicine as most of them have received no specific training on the medical, ethical, and social issues involved. Analyzing how these professionals integrate genetic testing into the patient-provider relationship is essential to paving the way for a better use of genomics by all. We conducted a qualitative study comprising a series of focus groups with 21 neurologists and endocrinologists about their genetic testing practices in the western part of France. The interviews were transcribed and analyzed for major themes. We identified an automated care management procedure of genetic testing that affects patient autonomy. The simple fact of having a written consent cannot justify a genetic test given the stakes associated with the results. We also suggest orienting practices toward a systemic approach using a multidisciplinary team or network to provide resources for dealing with uncertainties in interpreting results or situations that require additional technical or clinical skills and, if necessary, to allow for joint consultations with both a geneticist and a non-geneticist medical specialist.


1974 ◽  
Vol 94 ◽  
pp. 114-125 ◽  
Author(s):  
A. M. Snodgrass

I begin with two modern texts, both as it happens printed on the first page of earlier issues of this journal, and each, I think, expressive of a strong body of opinion in Homeric scholarship, at least in the English-speaking countries, at the time of their writing. First, Miss Dorothea Gray in 1954: ‘Belief in an historical Homeric society dies hard’. Secondly, Professor Adkins in 1971: ‘I find it impossible to believe … that the bards of the oral tradition invented out of their own imaginations a society with institutions, values, beliefs and attitudes all so coherent and mutually appropriate as I believe myself to discern in the Homeric poems. This aspect of the poems is based upon some society's experience’. Miss Gray's prophecy, whether or not one shares the misgivings that it embodied, was thus soundly-based: the seventeen years between these two quotations have indeed witnessed a powerful revival of the belief that the social system portrayed in the Homeric poems, and with it such attendant features as the ethical code and the political structure, are in large measure both unitary and historical. One good reason for the vitality of this belief is the simple fact that it has been alive since Classical times. Another is that it has received support from several influential recent works: if pride of place should be given to M. I. Finley's The World of Odysseus, on whose conclusions Professor Adkins expressely says that he takes his stand, a number of others should be acknowledged also. Whereas Finley located the social system of the Odyssey most probably in the tenth and ninth centuries B.C., A. Andrewes in his book The Greeks extends this type of inference when he argues for an historical origin in the ‘migration period’ of the twelfth and eleventh centuries for the Homeric political system. As influences on the other side, one may mention T. B. L. Webster's work in isolating Mycenaean practices and features, whose divisive effect on the social pattern is apparent; while G. S. Kirk has a significantly entitled chapter in his The Songs of Homer, ‘The cultural and linguistic amalgam’ (my italics). Most recently, the early chapters in the German Archaeologia Homerica have shown a certain tendency to discern a consistent and historical pattern in the allied area of the material and technological practices of the poems. It is true that in one chapter the author is led to conclude that the metallurgical picture of the Iliad is substantially earlier than that of the Odyssey, and that the date of composition of the former poem must accordingly be very much earlier. But this is only because he is pressing the arguments for the ‘historical’ case one step further: the historical consistency of the metallurgical pictures in each of the two poems is, for him, so apparent and so precise that each can and must be given an historical setting, even if the two are separated by a long period.


PEDIATRICS ◽  
1953 ◽  
Vol 12 (5) ◽  
pp. 471-482
Author(s):  
JONAS E. SALK

The simple fact is: That an experimental method for inducing measurable amounts of antibody for the three known poliomyelitis viruses, employing a killed-virus vaccine is available, and it now becomes possible to determine whether—and to what extent—the incidence of naturally occurring paralysis may be influenced. All that should be inferred now is that studies are progressing satisfactorily; there have been no set-backs nor anything but revelations that shed more light on the course ahead. We must continue to regard the experimental developments to date as providing immunologic markers along the way that tell us whether we are on the right road. That there is more to do now than before indicates that we have not stumbled down a by-way but have selected a road, with many lanes, that seems long indeed. Our problem is to select not only the fast lane but the one that is safest and most certain.


2018 ◽  
Vol 1 (1) ◽  
pp. 101-106
Author(s):  
Felix Behan

Background: The keystone perforator island flap (KPIF) and its design variations developed as a clinical necessity for reconstructing large surgical defects. This article focuses on melanoma management in 28 cases taken from a series of up to 3,000 established over 20+ years of clinical experience. Method: The dermatome is the basis of the keystone success where vessels accompany nerves. Keystone perforator island flaps are fascial lined, supporting vascular integrity. The design resembles two conjoined VY island flaps facilitating closure under tension as the perforator zones (perforazones) are oriented vertically with a stronger hydrostatic supply than the horizontally aligned subdermal plexus. Tissue match is important and contributes to a sound aesthetic outcome. Results: KPIF reconstructions are pain free even though tension is noted. KPIF reconstructions are almost anaesthetic for the complete dimension of the wound. This is explained by the simple fact that temporary interruption of somatic innervation in this design recovers over a few months in the same way as any longitudinal incision regains its nerve supply. Oedema in the KPIF is rarely observed and could possibly be a sympathetic affect. Reactive hyperaemia is evident in irradiated tissue, breaking another rule in plastic and reconstructive surgery in irradiated tissue where loco–regional reconstruction is contraindicated. Conclusion: With an intact vascular system associated with autonomic and somatic support—including lymphatic drainage, the Gillies principles of replacing ‘like for like’ and the ‘next best tissue is the next best tissue’—reconstructive design principles are maintained.


2005 ◽  
Vol 19 (3) ◽  
pp. 595-642
Author(s):  
Claude Masse

The following article deals with the problem of « misuse of office » in the principal-agent relationship under Quebec civil law. Despite the abundance of case law, solutions to the problem are not well defined especially in cases involving personality defects of the agent. The law concerning « misuse of office » is generally to be found in article 1054(7) of the Quebec Civil Code concerning the liability of principals. This controverted article not only deals with the liability of masters for servants, but also with the problem of torts committed by agents (art. 1731 C.C.). It also has an effect on workmen's compensation laws. The main issue in « misuse of office » is the determination of what constitutes a carrying out of duties within the scope of employment. The principal can only be held liable for the tort of an agent if three conditions are met : the tort feasor must have been his agent ; he must have committed a wrongful act ; and this act must have been committed in the scope of his employment. After a general view of the fundamental principles involved, the paper defines « misuse of office » as « all torts committed by an agent in the exercice of his duties, even when not authorized to carry out the duties in the manner which he did, but where the activity is designed to benefit his principal ». The only case where the principal escapes liability is where the agent committed a tort which did not involve his work. The agent in that case no longer acts for the benefit of his principal, but is pursuing his personal interest. The principal is then no longer held liable. Determination of the notion of « benefit » therefore becomes essential. Far from being a simple question of monetary profit, it is extended to mean any activity which can serve the principal's enterprise, whether in the improvement of public relations, or of relations with staff or suppliers. The pecuniary gain becomes but one element amongst many others. It is not even necessary for the benefit to ever materialize. The simple fact that the intention was to benefit the principal is sufficient. The review of the case law leads the author to conclude that the modification of the ways in which the duties are carried out has little effect on the liability of the principal. For instance, the agent can change the time, the place and the manner of performance and still engage the liability of the principal. Quebec courts have gone even further. They have held that an agent can go beyond the usual scope of his duties or take up some that he was not authorized to do, without affecting the liability of the principal. In fact, Quebec courts have developed a broad interpretation of the notion of duty. They consider that the agent is called upon to perform tasks more or less accessory to his main duties and thus extend the principal's liability to all of them. As already stated, the notion of «benefit to the principal» is a determining factor. It is not necessary that the agent's work for the principal be exclusive. The agent that derives a personal benefit and simultaneously intends to benefit the principal, will still be considered to have performed an act in the course of his duties. The paper examines a series of problems involving the personality of the agent. Certain tortious acts can be committed in relations with third parties or co-workers, and are the direct result of a personality defect of the agent. Such is the case of a restaurant worker who physically attacks a client as the result of a dispute or of the agent stealing from a client. The paper points out the great difficulty that Quebec courts have experienced in the legal qualification of this situation. After an in-depth study of the Quebec case law, the paper concludes that the trend is to maintain the liability of the principal in these cases. One criterion appears to be well defined : the principal bears the responsibility, when hiring someone, to assure his clients or the persons with whom he does business, that he will respect their property as well as their moral and physical integrity. The necessary tie between the duties of the agent and the relationship with persons coming in contact with him, will engage the liability of the principal. Every time the agent comes in contact with a person in the carrying out of business, the principal will be held responsible for the damage resulting from personality defects of the agent. In all other cases, the relation will be considered personal to the agent and the principal will be relieved of any liability.


Materials ◽  
2021 ◽  
Vol 14 (18) ◽  
pp. 5391
Author(s):  
Marija Djošić ◽  
Ana Janković ◽  
Vesna Mišković-Stanković

Current trends in biomaterials science address the issue of integrating artificial materials as orthopedic or dental implants with biological materials, e.g., patients’ bone tissue. Problems arise due to the simple fact that any surface that promotes biointegration and facilitates osteointegration may also provide a good platform for the rapid growth of bacterial colonies. Infected implant surfaces easily lead to biofilm formation that poses a major healthcare concern since it could have destructive effects and ultimately endanger the patients’ life. As of late, research has centered on designing coatings that would eliminate possible infection but neglected to aid bone mineralization. Other strategies yielded surfaces that could promote osseointegration but failed to prevent microbial susceptibility. Needless to say, in order to assure prolonged implant functionality, both coating functions are indispensable and should be addressed simultaneously. This review summarizes progress in designing multifunctional implant coatings that serve as carriers of antibacterial agents with the primary intention of inhibiting bacterial growth on the implant-tissue interface, while still promoting osseointegration.


2019 ◽  
pp. 5-23
Author(s):  
Charolotta Krispinsson

Niccolò di Pietro Gerini's painting “The Temptation of Saint Anthony” (1390-1400) serves as a point of departure for this essay. It depicts Saint Anthony during a lapse of self-control as he attempts to resist an alluring mound of gold. Since the mound is in fact made of genuine gold leaves applied to the painting's surface, it works both as a representation of temptation as well as an object of desire affecting the beholder. The aim of this essay is to explore different approaches to materiality before the material turn within the art history discipline by examining two opposing directions within the writing and practice of art history:  the tradition of connoisseurship; and the critique of the fetish within the theoretical apparatus of new art history and visual culture studies of the 1980s and 90s. As an expression of positivism within art history, it is argued that connoisseurship be considered within the context of its empirical practices dealing with objects. What is commonly described as the connoisseur's “taste” or “love for art” would then be just another way to describe the intimate relationship formed between art historians and the very objects under their scrutiny. More than other humanist disciplines, art history is, with the possible exception of archaeology, an object-based discipline. It is empirically anchored in the unruly, deep sea of objects commonly known as the history of art. Still, there has been a lack of in-depth theoretical reflection on the materiality of artworks in the writings of art historians before the material turn. The question however, is not ifthis is so, but rather, why?In this essay, it is suggested that the art history discipline has been marked by a complicated love-hate relationship with the materiality of which the very objects of study, more often than not, are made of; like Saint Anthony who is both attracted to and repelled by the shapeless mass of gold that Lucifer tempts him with. While connoisseurship represents attraction, resistance to the allure of objects can be traced to the habitual critique of fetishism of the first generations of visual culture studies and new art history. It reflects a negative stance towards objects and the material aspect of artworks, which enhanced a conceived dichotomy between thinking critically and analytically in contrast to managing documents and objects in archives and museum depositories. However, juxtaposing the act of thinking with the practice of manual labour has a long tradition in Western intellectual history. Furthermore, it is argued that art history cannot easily be compared to the history of other disciplines because of the simple fact that artworks are typically quite expensive and unique commodities, and as such, they provoke not just aesthetic but also fetishist responses. Thus, this desire to separate art history as a scientific discipline from the fetishism of the art market has had the paradoxical effect of causing art historians to shy away from developing methodologies and theory about materiality as an act of resistance. 


Sign in / Sign up

Export Citation Format

Share Document