Euclid and his modern rivals (1879), Lewis Carrol: tradução e crítica

Pós-graduação em Educação para a Ciência - FC

Forecasts on the dark energy anisotropic stress for the esa euclid survey

The cosmological constant Λ seems to be a not satisfactory explanation of the late-time accelerated expansion of the Universe, for which a number of experimental evidences exist; therefore, it has become necessary in the last years to consider alternative models of dark energy, meant as cause of the accelerated expansion. In the study of dark energy models, it is important to understand which quantities can be determined starting from observational data, without assuming any hypothesis on the cosmological model; such quantities have been determined in Amendola, Kunz et al., 2012. In the same paper it has been further shown that it is possible to estabilish a relation between the model-independent parameters and the anisotropic stress η, which can be also expressed as a combination of the functions appearing in the most general Lagrangian for the scalar-tensor theories, the Horndeski Lagrangian. In the present thesis, the Fisher matrix formalism is used to perform a forecast on the constraints that will be possible to make on the anisotropic stress η in the future, starting from the estimated uncertainties for the galaxy clustering and weak lensing measurements which will be performed by the European Space Agency Euclid mission, to be launched in 2020. Further, constraints coming from supernovae-Ia observations are considered. The forecast is performed for two cases in which (a) η is considered as depending from redshift only and (b) η is constant and equal to one, as in the ΛCDM model.

Cosmologia con missione spaziale "Euclid"

Nel 2020 verrà lanciata la missione spaziale Euclid per investigare la natura dell’energia oscura. Euclid otterrà un’immensa quantità di dati fotometrici e spettrometrici finalizzati, soprattutto, alla misura di lenti gravitazionali deboli e oscillazioni acustiche barioniche. In questa tesi daremo una descrizione generale dello strumento e della scienza che potrà essere fatta grazie ad esso. In particolare, nel capitolo 2 verrà fornita una introduzione alla cosmologia e verranno introdotti i vari parametri cosmologici che Euclid sarà in grado di vincolare. Nel capitolo 3 si farà un’analisi dei principali fenomeni fisici che Euclid indagherà. Nel capitolo 4 verrà data una panoramica del satellite, descrivendo in dettaglio gli obiettivi, cosa osserverà e come farà le osservazioni, e quali sono gli strumenti che lo compongono (satellite, telescopio, VIS e NISP). Infine, nel capitolo 5 verranno mostrati dei primi risultati preliminari, ottenuti in questa tesi, riguardanti il test di un programma che servirà per la misura della funzione di correlazione a due punti di Euclid.

Euclid Avenue Tempel in Cleveland [Illustration] : (Zeichnung)

Louis Lozowick

The elements of Euclid : viz. the first six books, together with the eleventh and twelfth ... also the book of Euclid's Data, in like manner corrected /

Mode of access: Internet.

The connexion of number and magnitude: an attempt to explain the fifth book of Euclid.

Mode of access: Internet.

Elements of geometry: containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids: to which are added Elements of plane and sherical trigonometry.

Mode of access: Internet.

Elements of geometry : containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids : to which are added, elements of plane and spherical trigonometry /

Mode of access: Internet.

A key to the exercises in the first six books of Casey's Elements of Euclid.

Available on demand as hard copy or computer file from Cornell University Library.

Elements of geometry : containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids: to which are added elements of plane and spherical trigonometry /

Mode of access: Internet.

The first six books of the Elements of Euclid, and propositions I.-XXI. of book XI., and an appendix on the cylinder, sphere, cone, etc., with copious annotations and numerous exercises,

Available on demand as hard copy or computer file from Cornell University.

The philosophical and mathematical commentaries of Proclus on the first book of Euclid's Elements. To which are added a History of the restoration of Platonic theology by the latter Platonists, and a translation from the Greek of Proclus's Theological elements.

The translator's preface is followed by his Dissertation on the Platonic doctrine of ideas; Demonstrative syllogism; Nature of the soul; Dissertation on the true end of geometry; Life and commentaries of Proclus, including the life of Proclus by Marinus.

Euclid's book On divisions of figures ... with a restoration based on Woepcke's text and on the Practica geometriae of Leonardo Pisano,

Mode of access: Internet.