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the article deals with the interrelation between galileo and the visual arts. it presents a couple of drawings from the hand of galileo and confronts them with viviani's report that galileo had not only wanted to become an artist in his youth but stayed close to the field of visual arts throughout his lifetime. in the ambiance of these drawings the famous moon watercolors are not in the dark. they represent a very acute and reasonable tool to convince the people who trusted images more than words. the article ends with panofsky's argument that it was galileo's anti-mannerist notion of art that evoked a repulsion of kepler's ellipses. it tries to show that it was again an aesthetical prejudice that hindered einstein from accepting panofsky's theory.
This paper describes and analyses a hitherto unknown document of considerable historical significance: a narrative diary of the weather for every day of the year 1703. Available evidence enables us to assign the authorship of the document, with a high degree of probability, to an Oxford graduate residing in rural Worcestershire. The text presents plentiful natural philosophical speculations about the causes of meteorological phenomena, drawing both upon the ideas of leading scientific thinkers and upon vernacular lore concerning the weather. Furthermore, the diarist composed a remarkably personal document, in a richly descriptive style, cataloguing his physiological and emotional reactions to prevailing weather conditions. The document thus represents an empathic and discursive style of meteorology, an alternative to the contemporary efforts to establish objective weather records that have previously been recognized by historians.
Oft, as he travers'd the coerulean field,
And mark'd the Clouds that drove before the wind;
Ten thousand glorious systems would he build,
Ten thousand great ideas fill'd his mind;
But with the clouds they fled, and left no trace behind!
This article reassesses the reasons why Toledo achieved prominence as a center for Arabic-Latin translation in the second half of the twelfth century, and suggests that the two principal translators, Gerard of Cremona and Dominicus Gundissalinus, concentrated on different areas of knowledge. Moreover, Gerard appears to have followed a clear program in the works that he translated. This is revealed especially in the Vita and the “commemoration of his books” drawn up by his students after his death. A new edition of the Vita, Commemoratio librorum and Eulogium, based on all the manuscripts, concludes the article.
This essay argues that the material culture of the Renaissance garden played an important role in the development of Cartesian mathematical and mechanical philosophy. Garden machinery such as Salomon and Isaac de Caus's automata and grottoes provided a model from which Descartes drew his clockwork conceptions of nature and the human body. This machinery was also crucial in the Cartesian explanation of the rainbow. Not simply an exercise in intellectual curiosity, Descartes's geometrical description of the rainbow in Discourse Eight of the Météores was a direct response to the engineers of artificial rainbow fountains which populated European princely gardens for much of the sixteenth and early seventeenth centuries. Rejecting distinctions between ‘natural’ and ‘artificial’ rainbows, Descartes used these fountains and his own constructions of artificial water drops to discern the causes of the rainbow by refraction and reflection and, by analogy, to suppose this the explanation of rainbows in the sky. This knowledge was then utilized to propose an alternative to the rainbow fountain, using refracting liquids to cast images in the sky. Descartes presented a ‘science of miracles’ destined not to eradicate wonder but to make transparent the wonders of traditional garden engineers and replace them with wonders derived from knowledge of mathematical and mechanical philosophy. As such, the ‘science of miracles’ gave a new emphasis to the mind of the natural philosopher as the essential component in the creation of wonders, rather than the traditional skills and experience of the artisan or engineer.
antonio favaro was born in padua on 21 may 1847 to a cultivated family of lower nobility. after having accomplished his studies in mathematics at the university of padua in 1866, he went to turin, where he specialized as an engineer at the scuola d’applicazione (polytechnical high school) in 1869. as early as 1872, he was appointed as extra-ordinary professor at the university of padua. for fifty years he taught graphical statics there. during different periods he also gave courses in infinitesimal calculus and projective geometry. since 1878 favaro, as one of the first in an italian university, also taught history of mathematics. he died in padua on 30 september 1922, shortly after his retirement.
This paper deals with one of the first attempts to measure simple reactions in humans. The Swiss astronomer Adolph Hirsch investigated personal differences in the speed of sensory transmission in order to achieve accuracy in astronomy. His controversial results, however, started an intense debate among both physiologists and astronomers who disagreed on the nature of these differences. Were they due to different eyes or brains, or to differences in skill and education? Furthermore, they debated how to eliminate them. Some, for example, wanted to eliminate the observer, and prescribed the use of new technologies like the electro-chronograph or photography, while others believed in discipline and education. By debating the nature of these differences, astronomers and physiologists sketched both different conceptions of ‘man’ and different paths to objectivity. These diverse conceptions, moreover, were tied to current nineteenth-century debates, such as the benefits or disadvantages of railroads, telegraphy and the standardization of time and longitudes. By focusing on the debates surrounding the speed of sensory transmission, this paper reevaluates the history of astronomy, physiology and experimental psychology. Furthermore, in investigating astronomy's relation to the human sciences, it uncovers profound connections in the traditionally separate histories of objectivity and the body.
this article confronts an old-new orientation in the historiographical literature on the “galileo affair.” it argues that a varied group of historians moved by different cultural forces in the last decade of the twentieth century tends to crystallize a consensus about the inevitability of the conflict between galileo and the church and its outcome in the trial of 1633. the “neo-conflictualists” — as i call them — have built their case by adhering to and developing the “three dogmas of the counter-reformation”: church authoritarianism is portrayed by them as verging towards “totalitarianism.” a preference for a literal reading of the scriptures is understood as a mode of “fundamentalism.” and mild skeptical positions in astronomy are read as expressions of “instrumentalism,” or “fictionalism.” the main thrust of the article lies in an attempt to historicize these three aspects of the catholic reform movement. finally, the lacunae in insufficiently explored historiographical landscape are delineated in order to tame the temptation to embrace the three dogmas, and to modify the radical conflictualist version of the story of galileo and the church.
The article argues that Frederick II of Hohenstaufen and his court played a unique role in the transfer and diffusion of Arabic science (with its Greek, Hebrew and Christian elements). Scientists at the court translated and elaborated upon it. Moreover, there existed a two-way traffic of scientific knowledge between Frederick and his court scholars, on the one hand, and several oriental courts and their scientists on the other hand. Thus the reader gains a view of Frederick's scientific activities from the Arab perspective, too.
Frederick's contribution to the existing biological sciences of his time was his “Book of Falconry”, which was exceptional in the then contemporary approach and methods employed in those fields. Even in this treatise on falconry, Frederick drew upon the fund of knowledge of Arab practitioners. This chain of arguments concerning Arabic science is situated within the setup of Frederick's oriental political practice and sumptuous court life.
Assuming the crucial interest of Arabic material for the recovery of the textual tradition of some Greek texts of mechanics, the following article aims at presenting a partial survey of the Graeco-Arabic transmission in the field of mechanics. Based on new manuscript material dating from the ninth to the twelfth century, it investigates the textual and theoretical traditions of two writings ascribed to Aristotle and Euclid respectively and transmitted to Arabo-Islamic culture in fragmentary form. The reception and the impact of the Peripatetic Mechanics are analyzed on the basis of texts edited by al-Khāzinī as well as by the comparative study of the proof of the law of the lever in three authors: Pseudo-Aristotle, Thābit ibn Qurra, and al-Isfizārī. The codicological analysis of the extant manuscripts of Maqāla fī ‘l-mīzān – a rather systematic treatise on the balance ascribed to Euclid – leads to the assumption that it is a Greek fragment edited in Arabic. This reconstruction of the Arabic tradition of Euclidean mechanics is further elaborated by an annotated synopsis of al-Isfizārī's systematic recension of the text.
we consider this merit, however, to have almost no value in comparison to one which we wish to acquire from the offended worshippers of galileo. we announce to them that after having identified and reordered the scattered writings which complete the sixth dialogue as far as percussion is concerned, we were also able to reintegrate the dialogue with regard to the use of a little chain to provide a rule for aiming artillery, without having to resort to laborious calculations.
For more than a century, there has been some discussion about whether medieval Arabic al-jabr (and hence also later European algebra) has its roots in Indian or Greek mathematics. Since the 1930s, the possibility of Babylonian ultimate roots has entered the debate. This article presents a new approach to the problem, pointing to a set of quasi-algebraic riddles that appear to have circulated among Near Eastern practical geometers since c. 2000 BCE, and which inspired first the so-called “algebra” of the Old Babylonian scribal school and later the geometry of Elements II (where the techniques are submitted to theoretical investigation). The riddles also turn up in ancient Greek practical geometry and Jaina mathematics. Eventually they reached European (Latin and abbaco) mathematics via the Islamic world. However, no evidence supports a derivation of medieval Indian algebra or the original core of al-jabr from the riddles.
An Andalusian tradition of zījes seems to have been predominant in the Maghrib due to the popularity of the zīj of Ibn Is[hdotu]āq al-Tūnisī (fl. Tunis and Marrakesh ca. 1193–1222) and derived texts compiled in the fourteenth century. This tradition computed sidereal planetary longitudes and allowed the calculation of tropical longitudes by using trepidation tables based on models designed in al-Andalus by Abū Is[hdotu]āq ibn al-Zarqālluh (d. 1100). This tradition also used Ibn al-Zarqālluh's model to calculate the obliquity of the ecliptic, which implied that this angle had a cyclical period of oscillation between a maximum of 23;53° and a minimum of 23;33°: after reaching this minimum value the obliquity of the ecliptic was bound to increase. This paper argues that some new Maghribi sources give information on observations made in the Maghrib in the fourteenth and beginning of the fifteenth centuries that imply that precession had increased beyond the limits allowed by the Zarqāllian trepidation theory, while the obliquity of the ecliptic had diminished below the level accepted by astronomers who followed Ibn al-Zarqālluh. This explains the introduction in the Maghrib of Eastern zījes, which computed directly tropical longitudes and did not accept the cyclical variation of the obliquity. Information about observations of dawn and twilight made both in Egypt and in the Maghrib in the fourteenth and fifteenth centuries is also presented.