Eratosthenes of Cyrene

Classics ◽  
2019 ◽  
Author(s):  
P. J. Finglass

Eratosthenes was one of the great scholars of Antiquity. Born in Cyrene in c. 285, he studied in Athens before becoming the third librarian at the great research institute founded by King Ptolemy I at Alexandria in Egypt. Rather than specializing in any one field, he produced scholarship in philology, geography, mathematics, philosophy, and chronography, as well as composed poetry. This breadth of learning was (remarkably) the subject of criticism: he was called “Beta” and the “Pentathlete,” which referred to being the second-best in every field. But his versatility did not preclude considerable achievement: most notably, he calculated the circumference of the earth and made other great intellectual advances in geography (where his influence on the later geographer Strabo was considerable) and literary criticism (where, for instance, he refused to believe that the places of Homer’s Odyssey could be mapped onto the actual Mediterranean world), as well as receiving praise for his poetry (from pseudo-Longinus). His works have not survived in full; the process of gathering and assessing his fragments is still ongoing.

2002 ◽  
Vol 47 (3) ◽  
pp. 453-464 ◽  
Author(s):  
Theo Engelen

Phyllis Moen and Elaine Wethington were absolutely right when they called family strategies “the intuitively appealing metaphor for family response to structural barriers”. This appeal probably explains the avalanche of studies on the subject since the 1970s and especially since the 1980s. The last contribution, to my knowledge, is a collection of articles edited by Laurence Fontaine and Jurgen Schlumbohm in 2000. I will not even try to outline the vast historiography. This paper focuses on another problem. It is an attempt to show that concepts built on appealing metaphors lose much of their appeal in empirical research for the simple reason that their application tends to be more complicated than expected. In the following pages an example of such an experience is presented. Within the virtual walls of the Dutch National Research Institute for Economic and Social History, the N.W. Posthumus Institute, we have been struggling with family strategies since 1994. Now that we are about to publish the third volume on the subject, it is time to evaluate what we have accomplished.


The Professor observes, that Sir Isaac Newton was the first mathematician who endeavoured to estimate the quantity of the precession from the attractive influence of the sun and moon on the spheroidal figure of the earth. His investigations relating to this subject evince the same transcendent abilities that are displayed in other parts of his Principia; but it is admitted, that, from a mistake in his process, his conclusion is erroneous. The investigations of other mathematicians in attempting the solu­tion of the same problem are arranged by the author under three general heads. The first arrive at wrong conclusions, in consequence of mistake in some part of their proceedings; the second obtain just conclusions, but rendered so by balance of opposite errors; the third approach as near the truth as the nature of the subject will admit, but, in the author’s estimation, are liable to the charge of obscurity and perplexity.


1973 ◽  
Vol 63 ◽  
pp. 1-28 ◽  
Author(s):  
Paul-Albert Février

There is scarcely a region of the Roman west which can claim, superficially, to be better known than southern Gaul. There can be no lover of antiquities who has not visited Arles or Nîmes, studied the arch of Orange or the Pont du Gard, devoted some interest to the monuments of Fréjus, the sculptures of Nîmes, or the mosaics of Vienne, not to mention the houses of Glanum or Vaison which have been recovered from the earth by the dedication of Henri Rolland and Canon Sautel. And yet many of these famous monuments have had to wait until very recent years before becoming the subject of detailed monographs: so, the trophy of the Alps, the arch of Orange, or the mausoleum of Glanum. Others, without having received exhaustive publication, have only in recent decades been properly dated (the amphitheatres of Arles and Nîmes) or adequately described: I am thinking of the Maison Carrée.


1812 ◽  
Vol 102 ◽  
pp. 46-82 ◽  

In this discourse I propose to investigate the attractions of a very extensive class of spheroids, of which the general description is, that they have their radii expressed by rational and integral functions of three rectangular co-ordinates of a point in the surface of a sphere. Such spheroids may be characterized more precisely in the following manner: conceive a sphere of which the radius is unit, and three planes intersecting one another at right angles in the centre; from any point in the surface of the sphere draw three perpendicular co-ordinates to the fixed planes, and through the same point in the surface likewise draw a right line from the centre, and cut off from that line a part equal to any rational and integral function of the three co-ordinates: then will the extremity of the part so cut off be a point in the surface of a spheroid of the kind alluded to; and all the points in the same surface will be determined by making the like construction for every point in the surface of the sphere. The term of a rational and integral function is not to be strictly confined here to such functions only as consist of a finite number of terms; it may include infinite serieses, provided they are converging ones; and it may even be extended to any algebraic expressions that can be expanded into such serieses. This class of spheroids comprehends the sphere, the ellipsoid, both sorts of elliptical spheroids of revolution, and an infinite number of other figures, as well such as can be described by the revolving of curves about their axes, as others which cannot be so generated. In the second chapter of the third book of the Mécanique Céleste , Laplace has treated of the attractions of spheroids of every kind; and in particular he has given a very ingenious method for computing the attractive forces of that class which in their figures approach nearly to spheres. In studying that work, I discovered that the learned author had fallen into an error in the proof of his fundamental theorem; in consequence of which he has represented his method as applicable to all spheroids whatever, provided they do not differ much from spheres; whereas in truth, when the error of calculation is corrected, and the demonstration made rigorous, his analysis is confined exclusively to that particular kind, described above, which it is proposed to make the subject of this discourse. I have already treated of this matter in a separate paper, in which I have pointed out the source of Laplace’s mistake, and likewise have strictly demonstrated his method for the instances that properly fall within its scope. In farther considering the same subject, it occurred to me that the investigation in the second chapter of the third book of the Mécanique Céleste , however skilfully and ingeniously conceived, is nevertheless indirect, and is besides liable to another objection of still greater weight; it does not exhibit the several terms of the series for the attractive force in separate and independent expressions: it only points out in what manner they may be derived successively, one after another; in so much that the terms of the series near the beginning cannot be found without previously computing all the rest. This remark gave occasion to the following paper, in which it is my design to give a solution of the problem which is not chargeable with the imperfections just mentioned: the analysis is direct, and every term of the series for the attractive force is deduced immediately from the radius of the spheroid. As the ellipsoid, which comprehends both sorts of elliptical spheroids of revolution, falls within the class of figures here treated of, I have derived, as a corollary from my investigation, the formulas for the attractions of that figure which are required in the theory of the earth: this paper therefore will contain all that is useful on the subject of the attractions of spheroids, as far as our knowledge at present extends, deduced by one uniform mode of analysis.


2021 ◽  
pp. 96-109
Author(s):  
О. N. Alexandrova-Osokina

The author’s elaboration of the content and poetics of landscape and natural history lyrics of the Far Eastern poet, winner of the Stalin Prize of the third degree P. S. Komarov (1911—1949) is presented. The novelty of the research lies in the fact that the poet’s work has practically not been studied. The relevance of the study is due to the attention of modern literary criticism to the problems of the literary process of the Soviet period, as well as interest in literary and regional studies. The idea is substantiated that the theme “man and nature” was central in the poetry of P. S. Komarov. It is noted that the dominant principle in the disclosure of this topic were the ideas of all-unity and participation. The question is raised about the nature of the reflection of the ideas of the era in the lyrics: in particular, the points of intersection of the poetic perception of the world in the poems of the “Green Belt” cycle with the ideas of Russian cosmism are revealed. Observations on the specifics of the poetics of Komarov’s landscape lyrics were carried out: the form of the landscape-ecphrasis, the artistic functions of the landscape detail, color painting, toponymy, panoramic image were revealed; some images-motives (nature-garden, nature-book; motive of the brotherhood of the memory of the earth) is revealed. The unique materials of literary criticism of the second half of the 1940s, associated with the assessment of Komarov’s work are presented in the article.


1807 ◽  
Vol 97 ◽  
pp. 57-82

Perhaps the solution of no other problem, in natural philo­sophy, has so often baffled the attempts of mathematicians as that of determining the precession of the equinoxes, by the theory of gravity. The phenomenon itself was observed about one hundred and fifty years before the Christian æra, but Sir Isaac Newton was the first who endeavoured to estimate its magnitude by the true principles of motion, combined with the attractive influence of the sun and moon on the spheroidal figure of the earth. It has always been allowed, by those competent to judge, that his investigations relating to the subject evince the same transcendent abilities as are displayed in the other parts of his immortal work, the mathematical Principles of natural Philosophy, but, for more than half a century past, it has been justly asserted that he made a mistake in his process, which rendered his conclusions erro­neous. Since the detection of this error, some of the most eminent mathematicians in Europe have attempted solutions of the problem. Their success has been various; but their investi­gations may be arranged under three general heads. Under the first of these may be placed such as lead to a wrong conclusion, in consequence of a mistake committed in some part of the proceedings. The second head may be allotted to those in which the conclusions may be admitted as just, but rendered so by the counteraction of opposite errors. Such may be ranked under the third head as are conducted without error fatal to the conclusion, and in which the result is as near the truth as the subject seems to admit.


2015 ◽  
Vol 8 (2) ◽  
pp. 93
Author(s):  
Juniar Siregar

This study presents a research report on improving students’ Learning results on IPA through Video. The objective was to find out whether students’ learning result improved when they are taught by using Video. It was conducted using classroom action research method. The subject of the study was the Grade IV students of SDN 187/IV Kota Jambi which is located on Jln. Adi Sucipto RT 05 Kecamatan Jambi Selatan, and the number of the students were 21 persons. The instruments used were test. In analyzing the data, the mean of the students’ score for the on fisrt sycle was 65,4 (42,85%) and the mean on cycle two was 68,5 (37,15%) and the mean of the third cycle was 81,4 (100%). Then it can be concluded that the use of video on learning IPA can improve the students’ learning result. It is suggested that teachers should use video as one of the media to improve students’ learning result on IPA.Keywords : IPA, students’ learning result, video


Author(s):  
Nurmi Nurmi ◽  
Hadi Putra ◽  
Penti Nursida ◽  
Khoiro Mahbubah ◽  
Neni Hermita

This study aims to improve 3rd grade students’ science learning outcomes bylearning to use visual multimedia. This research method uses classroom actionresearch. The subject of this research was the third grade students of secondsemester of elementary school which conducted 30 students. Based on theresults of research by using visual media, it have been found that theimprovement learning outcome, seen from the initial average score before theaction of 3rd grade class students from 65.5 to 83.83. The results of this studyindicate that with the use of visual media can improve student learningoutcomes.


2016 ◽  
Vol 11 (1) ◽  
pp. 10-35
Author(s):  
Joseph Azize

The various published biographies and biographical notices of G.I. Gurdjieff (c.1865-1949) are of diverse style, quantity and content. While some have made considerable contributions to the subject, most attempts have reacted for or against Gurdjieff’s status as what might call an ‘Enlightened Master’. Little biographical writing on Gurdjieff has questioned the scope, reliability and prejudices of the sources. Further, possible resources have been neglected. The development in Gurdjieff’s ideas is often overlooked, his life is not sufficiently related to that development, and the lack of comparative research has failed to highlight Gurdjieff’s unique contributions. This article is structured in four parts. The first is an introduction, followed by an overview of existing biographical studies of Gurdjieff. The third part addresses bias in these studies, and this is followed by suggestions for future studies. It is concluded that fieldwork regarding the biography of Gurdjieff has been hampered by imperfect methodology. However, with better use of the source material, some of which has only recently been discovered, and a rigorous use of sources, a more balanced and nuanced picture of Gurdjieff’s life, and the development of his ideas and methods, should emerge.


Author(s):  
Hotria Manik ◽  
Elia Masa Ginting

This study attempts to improve students’ writing achievement in recount text through Think-Pair-Share Strategy. This study was conducted by using classroom action research. The subject of the research was class VIII-1 SMPN 1 Pematangsiantar. The number of the students was 32 students, consisted of 5 males and twenty seven females. The research was conducted in two cycles and consisted of six meetings. The instruments for collecting data were writing tests as the quantitative data and diary notes, observation sheet, interview sheet and questionnaire sheet as qualitative data. Based on the writing score, students’ scores kept improving in every test. In analyzing the data, the mean of the students’ score for the first test as a pre-test was 57.84, for the second test as a post test I was 73.56, for the third test as a post test II was 77.56. Based on diary notes, observation sheet and questionnaire sheet, it was found that students were actively involved in writing process. The result of the research showed that Think-Pair-Share Strategy can improve students’ achievement in writing recount text.   Keywords: Think Pair Share, Writing, Recount text, Action research


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