Gaspard Monge’s Descriptive Geometry Course

10.12737/2135 ◽  
2013 ◽  
Vol 1 (3) ◽  
pp. 52-56 ◽  
Author(s):  
Сальков ◽  
Nikolay Sal'kov

The structure of course of lectures, proposed by Gaspard Monge in the late 18th century, is considered in detail. Monge foresees 120 lectures for descriptive geometry. The main course, without shadows and perspective, is divided into 5 sections, each of which is devoted to a certain themes. In the first section the projections deriving is described, and two main goals are given. Here we face with the notion of geometric locus, elements of differential and projective geometries. The second section considers the tangent planes and normals. These elements’ use in painting and building are demonstrated. The third section has been devoted to the theory related to construction of curved surfaces intersections. The solution of tasks has been considered in the fourth section. The fifth section has been devoted to the curved lines. Gaspard Monge proposes the developed course of descriptive geometry not as a set of interesting geometric tasks, but as a solution of specific application tasks inherent to the industry, building, art, and military science.

2016 ◽  
Vol 4 (1) ◽  
pp. 25-47
Author(s):  
Masato Mitsuda

For centuries, religion has been the main impulse for moral and humanistic advancement, and ever since the rise of the Scientific Revolution (from 1543, the year Copernicus published De revolutioni bus orbium coelestium [On the revolution of the celestial sphere] – to the late 18th century), mathematics has been the cardinal element for scientific and technological progress. Mathematics requires a logical mind, but religion demands a receptive and compassionate mind. Even though there is a fundamental difference between the two subjects, the aim of this essay is to explore the relationships between Zen, mathematics, and Rāmānujan. The first section expounds on Bodhidharma’s and Hui neng’s notions of “no mind” and the “essence of mind,” as they are deemed an important bridge between Zen and mathematics. The second section presents how mathematics and Zen Buddhism relate to each other. Accordingly, the views on intuition, imagination, freedom, and language based on Einstein, Cantor, Brouwer, Poincare, et al. are discussed. The third section discusses the work of the most renowned mathematician in modern India in relation to Zen Buddhism. Rāmānujan’s unparalleled accomplishment in the field of number theory is well known among mathematicians. However, he is not well presented in the philosophy of mathematics, because of his unusual approach to mathematics.


Author(s):  
Jeremy W. Sexton

This paper examines Anton Weidinger, the 18th- and early 19th-century keyed trumpet player for whom Joseph Haydn and Johann Nepomuk Hummel composed their trumpet concerti. As the most successful of many attempts to chromaticize the trumpet in the late 18th century, during which the Baroque clarino style of trumpet-playing was waning, Weidinger’s keyed trumpet enjoyed a short-lived period of prominence from about 1800 to 1804, the period during which Weidinger premiered these two concerti. Subsequently, the keyed trumpet declined in popularity, and eventually it was replaced by the valve trumpet. Both concerti emphasize the chromatic capabilities of the new instrument. A detailed examination of some passages from the third movements of the two concerti suggests a deliberate attempt on the part of Hummel (perhaps under Weidinger’s influence) to “quote” and outdo the most virtuosic passages in the Haydn concerto and to cast the new instrument as capable of playing in a “singing” operatic style. Musical quotation from Luigi Cherubini’s opera Les Deux Journées further cements the implicit connection Hummel draws between the keyed trumpet and opera (and, by extension, the human voice). The paper concludes that Weidinger and Hummel sought, in Hummel’s concerto, to announce to the musical world that the trumpet was ready to move beyond its Classical status as a tutti instrument. Though the success of Weidinger and his keyed trumpet was transient, the two concerti composed for him today stand as cornerstones of the solo trumpet literature.


Author(s):  
M. McNEIL

Erasmus Darwin was the focus and embodiment of provincial England in his day. Renowned as a physician, he spent much of his life at Lichfield. He instigated the founding of the Lichfield Botanic Society, which provided the first English translation of the works of Linnaeus, and established a botanic garden; the Lunar Society of Birmingham; the Derby Philosophical Society; and two provincial libraries. A list of Darwin's correspondents and associates reads like a "who's who" of eighteenth century science, industry, medicine and philosophy. His poetry was also well received by his contemporaries and he expounded the evolutionary principles of life. Darwin can be seen as an English equivalent of Lamarck, being a philosopher of nature and human society. His ideas have been linked to a multitude of movements, including the nosological movement in Western medicine, nineteenth century utilitarianism, Romanticism in both Britain and Germany, and associationist psychology. The relationships between various aspects of Darwin's interests and the organizational principles of his writings were examined. His poetical form and medical theory were not peripheral to his study of nature but intrinsically linked in providing his contemporaries with a panorama of nature. A richer, more integrated comprehension of Erasmus Darwin as one of the most significant and representative personalities of his era was presented.


2020 ◽  
Vol 10 (5) ◽  
pp. 59-75
Author(s):  
JAROSLAV KLÁTIK ◽  
◽  
LIBOR KLIMEK

The work deals with implementation of electronic monitoring of sentenced persons in the Slovak Republic. It is divided into eight sections. The first section introduces restorative justice as a prerequisite of electronic monitoring in criminal proceedings. While the second section points out at the absence of legal regulation of electronic monitoring of sentenced persons at European level, the third section points out at recommendations of the Council of Europe addressed to European States. The fourth section analyses relevant alternative punishments in Slovak criminal justice. The fifth section introduces early beginnings of implementation of concerned system - the pilot project “Electronic Personnel Monitoring System” of the Ministry of Justice of the Slovak Republic. While the sixth section is focused on Slovak national law regulating electronic monitoring of sentenced persons - the Act No. 78/2015 Coll. on Control of the Enforcement of Certain Decisions by Technical Instruments, the seventh section is focused on further amendments of Slovak national law - namely the Act No. 321/2018 Coll. and the Act No. 214/2019 Coll. The last eight section introduces costs of system implementation and its operation.


2017 ◽  
Vol 15 (2) ◽  
pp. 175-185
Author(s):  
Edyta Sokalska

The reception of common law in the United States was stimulated by a very popular and influential treatise Commentaries on the Laws of England by Sir William Blackstone, published in the late 18th century. The work of Blackstone strengthened the continued reception of the common law from the American colonies into the constituent states. Because of the large measure of sovereignty of the states, common law had not exactly developed in the same way in every state. Despite the fact that a single common law was originally exported from England to America, a great variety of factors had led to the development of different common law rules in different states. Albert W. Alschuler from University of Chicago Law School is one of the contemporary American professors of law. The part of his works can be assumed as academic historical-legal narrations, especially those concerning Blackstone: Rediscovering Blackstone and Sir William Blackstone and the Shaping of American Law. Alschuler argues that Blackstone’s Commentaries inspired the evolution of American and British law. He introduces not only the profile of William Blackstone, but also examines to which extent the concepts of Blackstone have become the basis for the development of the American legal thought.


2019 ◽  
Vol 63 (2) ◽  
pp. 187-204
Author(s):  
Carolin Rocks

"Praktiken zur Autonomie Zu Moritz’ Über die bildende Nachahmung des Schönen Karl Philipp Moritz’ Über die bildende Nachahmung des Schönen (1788) gilt als der autonomieästhetischeProgrammtext in der zweiten Hälfte des 18. Jahrhunderts. DerAufsatz stellt diese ästhetikgeschichtliche Klassifikation nicht in Frage, zeigt aber,dass die im Kern unbestreitbar kunstmetaphysische Argumentation über ethischePraktiken begründet wird. Diese Praktiken nehmen in der Arbeit an der Autonomieeinen so entscheidenden Stellenwert ein, dass sich eine heteronomieästhetischeGrundierung der Moritz’schen Kunsttheorie aufweisen lässt. Diese tritt hervor,wenn man den Fokus darauf richtet, wie Ethik und Ästhetik zueinander insVerhältnis gesetzt werden: Moritz verpflichtet die autonome Kunst nicht einfachauf moralische Normen oder soziale Funktionen, modelliert aber den genialenKünstler als Praktiker, als ›Hand-Werker‹, dessen künstlerische Produktivität immerschon einem ›guten Leben‹ zuarbeitet. Der Aufsatz demonstriert, wie Moritz ineinem eigenwilligen Begriffsspiel mit dem Schönen und dem Guten ›Nachahmung‹neu entwirft als auf Moralität zusteuernde ästhetische Praxis. Diese praxeologischeGrundlage der Argumentation wirft zusätzlich ein neues Licht auf Moritz’ Rezeptionneuplatonistischer Philosopheme. Karl Philipp Moritz’s »Über die bildende Nachahmung des Schönen« (1788) is regarded asone of the key texts of autonomous aesthetics from the late 18th century. This article doesnot challenge this classification. Instead, it argues that Moritz’s metaphysics of art is foundedupon ethical practices. These practices are so essential to his conception, that one can show thatit is also based on heteronomous aesthetics. This aspect of his argument emerges from how herelates ethics to aesthetics. Moritz does not simply reduce autonomous art to moral norms orsocial functions. Instead he portrays the ingenious artist as an artisan (›Hand-Werker‹) whoseaesthetic productivity serves a ›good life‹. This article therefore demonstrates how Moritz playswith the concepts of the beauty and the good in order to remodel mimesis as an aesthetic practicethat significantly contributes to morality. Finally, by emphasising this praxeological foundationof Moritz’s argument, one can also reconsider his reception of Neo-Platonism "


2018 ◽  
Vol 2018/2 ◽  
pp. 31-53

DESIGNATION OF JUDICIAL DOCUMENTS IN THE THIRD STATUTE OF LITHUANIA AND THE ATTRIBUTES OF THEIR EVOLUTION ADAM STANKEVIČ The author of the article analyses the designation of documents drawn up and issued by the court, their conception, field of application, and place in the court procedure as presented in the Third Statute of Lithuania (TSL). In addition, an attempt is made to exhibit the changes that such documents and their designations underwent in later centuries (until the end of the 18th c.) by means of the example of the Lithuanian Tribunal. The research revealed that documents which in the sources from different periods were referred to by the same name meant different things or were simultaneously attributed several meanings. In the 17th-18th century, only part of the terms featured in the Third Statute of Lithuania were used in the judicial practice of the Lithuanian Tribunal, and with time some of them were replaced with other terms. Several terms denoting summonses (pozew, mandat, zakaz) can be identified in the TSL, and all of them were in use until the very end of the 18th century. However, a single term – dekret / decretum – was used to designate the judgement (actually, for some time there was a differentiation between the court judgement and its procedural summary, but later the generalized term for the judgement prevailed). A number of documents in the TSL are referred to as the “open letter”, however, later some of them acquired specialised names (e.g. the power of attorney). With time, there were certain changes in the context in which some of the terms were used (e.g. the term “cedule” which in the 18th century was already consistently used exceptionally in a particular situation, namely when a litigant refused to obey the order of the court and informed in writing a judicial officer of such refusal) or the terms themselves underwent certain changes (in the 18th century the term membran was substituted with the term blankiet). Part of the judicial documents mentioned in the TSL disappeared in the long run or there was a certain decrease in their significance (this is true of the reminder and adjournment documents as well as glejt (protection letter)). The examples above suggest that the Lithuanian Tribunal would sometimes issue reminders and guarantee documents, though legal acts did not explicitly provide for that. The TSL offered a number of terms hardly related with the investigation of a case, therefore in the early 18th century, with the improvement of judicial procedures, they underwent rapid changes. The procedure of the implementation of a court ruling, which underwent significant changes, is accountable for the introduction of new terms, for example, with time several terms pertaining to the notification of the litigants were used simultaneously (obwieszczenie, innotescencyja, list tradycyjny). Most probably due to the unification processes observed in the Polish-Lithuanian Commonwealth in the 18th century, a number of Latin origin terms were introduced in the judicial practice of the GDL, e.g. cytacyja, decyzyja, innotestencyja, plenipotencyja, obdukcyja, wizyja, inkwizycyja, weryfikacyja, kalkulacyja, tradycyja (all of them had been used in Poland but were not featured in the TSL).


1989 ◽  
Vol 6 (2) ◽  
pp. 319-328
Author(s):  
Salahudeen Yusuf

The history of Islam in part of what is known today as Nigeria datesto about the loth Century. Christianity dates to the late 18th Century. Bythe middle of the 19th Century, when Nigerian newspapers began to appearon the streets of Nigeria, both religions had won so many followers and extendedto so many places in Nigeria that very few areas were untouched bytheir influence. The impact of both religions on their adherents not only determinedtheir spiritual life, but influenced their social and political lives aswell. It therefore became inevitable that both religions receive coverage frommost of the newspapers of the time. How the newspapers as media of informationand communication reported issues about the two religions is thetheme of this paper.Rationale for the StudyThe purpose of this study is to highlight the context in which such earlynewspapers operated and the factors that dictated their performance. Thisis because it is assumed that when a society faces external threat to its territory,culture, and independence, all hands (the press inclusive) ought tobe on deck to resist the threat with all might. Were newspapers used as verbalartillery and how did they present each religion? It is also assumed thatin a multireligious society a true press should be objective and serve as avanguard in the promotion of the interest of the people in general and notcreate or foster an atmosphere of religious conflict. The study also aims atfinding out whether the papers promoted intellectual honesty and fosteredthe spirit of unity particularly when the society was faced with the encroachmentof the British who posed a threat to their freedom, culture, economy ...


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