An alternative to the Pythagorean rule? Reevaluating Problem 1 of cuneiform tablet BM 34 568

The first problem of the Seleucid mathematical cuneiform tablet BM 34 568 calculates the diagonal of a rectangle from its sides without resorting to the Pythagorean rule. For this reason, it has been a source of discussion among specialists ever since its first publication. but so far no consensus in relation to its mathematical meaning has been attained. This paper presents two new interpretations of the scribe`s procedure. based on the assumption that he was able to reduce the problem to a standard Mesopotamian question about reciprocal numbers. These new interpretations are then linked to interpretations of the Old Babylonian tablet Plimpton 322 and to the presence of Pythagorean triples in the contexts of Old Babylonian and Hellenistic mathematics. (C) 2007 Elsevier Inc. All rights reserved.

Destiny and will, religion and politics: Jesus Society and Enlightenment in the posthumous Malabar Rites controversy

The first presentation of Antoine-Marin Le Mierre`s tragedy Malabar Widow, or the Empire of Customs, took place in 1770. It was based on the famous controversy over the Malabar (south west India) Rites. The object of the controversy was the Jesuit project in India, which started in the beginning of XVII century and was stopped by the Pope Benedict XIV, with the Apostolic Constitution Omnium Sollicitudinum. The papal condemnation of the rites closed a long process which shows the progressive loss of power of the Jesuit Company in the Age of Enlightenment, which will be definitive in 1773, with the suppression of the Company. In Le Mierre`s tragedy, we find the judgment of Malabar rites according to the rationalist ideas of the Enlightenment, with some typical topoi of the philosophes`s cultural perspective. At the same time, the enlightened disputation reproduces the Jesuit internal debate about India itself. Starting from a religious universal perspective of the different strategies of Christianization in India, or in the entire East, the missionary controversy had been about the religious or political interpretation of local signs. Briefly, this polemic would turn into the controversy on the rites. The criticism to the Jesuitical strategy of mission, in XVII and XVIII centuries, would start from here. The enormous number of documents on this issue became a powerful instrument in the battle against the Jesuits, in the XVIII century. On the base of the missionary disputation, the Enlightenment constructs the proposal of a new political and humanistic universal perspective. According to this, eventuality, the religion becomes just a privileged instrument to realize this operation.

The historiographic Hispano-Americanism: Spain and America in the perspective of Ricardo Levene and Rafael Altamira

This article analyzes how Latin American history was interpreted by two eminent historians, the Argentine Ricardo Levene and the Spaniard Rafael Altamira. It discusses how their paths crossed in the advocacy of Hispano-Americanism as a political project and interpretive horizon of Iberian and American history.

Phenology of Tayloria dubyi (Splachnaceae) in the peadands of the Cape Horn Biosphere Reserve

The sub-Antarctic Magellanic ecoregion harbors a high diversity of bryophytes, greater than the species richness of vascular plants. Despite this fact, phenological studies on bryophytes are lacking for this ecoregion and Chile. Based on the study of the sporophytic phase of Tayloria dubyi, an endemic moss from the sub-Antarctic Magellanic ecoregion, we propose a methodology for phonological studies on austral bryophytes. We defined five phenophases, easily distinguishable with a hand-lens, which were monthly recorded during 2007 and 2008 in populations of T dubyi at the Omora Ethnobotanical Park and Mejillones Bay on Navarino Island (55 degrees S) in the Cape Horn Biosphere Reserve. The sporophytic (or reproductive) phase of T. dubyi presented a clear seasonality. After growing in November, in three months (December-February) of the austral reproductive season the sporophytes mature and release their spores; by March they are already senescent. T. dubyi belongs to the Splachnaceae family for which entomochory (dispersal of spores by insects, specifically Diptera) has been detected in the Northern Hemisphere. The period of spores release in T. dubyi coincides with the months of highest activity of Diptera which are potential dispersers of spores; hence, entomochory could also take place in sub-Antarctic Magellanic ecoregion. In sum, our work: (i) defines a methodology for phenological studies in austral bryophytes, (ii) it records a marked seasonality ion the sporophyte phase of T dubyi, and (iii) it proposes to evaluate in future research the occurrence of entomochory in Splachnaceae species growing in the sub-Antarctic peatlands and forest ecosystems in the Southern Hemisphere.

Transiting exoplanets from the CoRoT space mission XV. CoRoT-15b: a brown-dwarf transiting companion

We report the discovery by the CoRoT space mission of a transiting brown dwarf orbiting a F7V star with an orbital period of 3.06 days. CoRoT-15b has a radius of 1.12(-0.15)(+0.30) R(Jup) and a mass of 63.3 +/- 4.1 M(Jup), and is thus the second transiting companion lying in the theoretical mass domain of brown dwarfs. CoRoT-15b is either very young or inflated compared to standard evolution models, a situation similar to that of M-dwarf stars orbiting close to solar-type stars. Spectroscopic constraints and an analysis of the lightcurve imply a spin period in the range 2.9-3.1 days for the central star, which is compatible with a double-synchronisation of the system.

Historia Nova do Brasil: revisiting a polemical work

This article discusses the texts and purposes of the Historia Nova do Brasil series, a joint production of the Ministerio da Educacao e Cultura and the Instituto Superior de Estudos Brasileiros (Iseb) launched in 1964 and soon aborted by the military dictatorship. The intent is to reconstitute its context to present the many influences on this project and to examine its impact and the debates and disputes that resulted, to try to recover the details of this important effort at renewing the teaching of history in Brazil.