An elementary treatise of the application of trigonometry to orthographic and stereographic projection, dialling, mensuration of heights and distances, navigation, nautical astronomy, surveying and levelling : together with logarithmic and other tables; designed for the use of the students of the university of Cambridge, New England /

Cover: Farrar's topography.

Exercise sheet 1 pdf

Exercises and solutions in PDF

Exercise sheet 1

Exercises and solutions in LaTex

Tori embedded in R(3) with dense principal lines

In this paper are given examples of tori T(2) embedded in R(3) with all their principal lines dense. These examples are obtained by stereographic projection of deformations of the Clifford torus in S(3). (C) 2008 Elsevier Masson SAS. All rights reserved.

Comparação do padrão cinemático do chute no futebol entre jogadores de dois países

Pós-graduação em Ciências da Motricidade - IBRC

Padrão cinemático do chute no futebol: comparação entre endivíduos praticantes e não praticantes, nas situações de descanso e exaustidão

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

The International Bathymetric Chart of the Southern Ocean (IBCSO) Version 1.0

The International Bathymetric Chart of the Southern Ocean (IBCSO) Version 1.0 is a new digital bathymetric model (DBM) portraying the seafloor of the circum-Antarctic waters south of 60° S. IBCSO is a regional mapping project of the General Bathymetric Chart of the Oceans (GEBCO). IBCSO Version 1.0 DBM has been compiled from all available bathymetric data collectively gathered by more than 30 institutions from 15 countries. These data include multibeam and single beam echo soundings, digitized depths from nautical charts, regional bathymetric gridded compilations, and predicted bathymetry. Specific gridding techniques were applied to compile the DBM from the bathymetric data of different origin, spatial distribution, resolution, and quality. The IBCSO Version 1.0 DBM has a resolution of 500 x 500 m, based on a polar stereographic projection, and is publicly available together with a digital chart for printing from the project website (http://www.ibcso.org) and from the two data sets shown at the bottom of this page.

Magnetic anomaly map of the Weddell Sea Region, Antarctic (Scale 1:2 500 000)

This paper describes a 1 : 2 500 000 scale aeromagnetic anomaly map produced by the joint efforts of VNIIOkeangeologia, Polar Marine Geological Research Expedition (PMGRE) and the Alfred Wegener Institute for Polar and Marine Research (AWl) for the Weddell Sea region covering 1 850 000 km' of West Antarctica. Extensive regional magnetic survey flights with line-spacing of about 20 km and 5 km were carried out by the PMGRE between 1977 and 1989. In course of these investigations the PMGRE flew 9 surveys with flight-line spacing of 20 km and 6 surveys with flight-line spacing of 5 km mainly over the mountain areas of southern Palmer Land, western Dronning Maud Land, Coats Land and Pensacola Mountains, over the Ronne lee Shelf and the Filchner Ice Shelf and the central part of the Weddell Sea. More than 215 000 line-kilometers of total field aeromagnetic data have been acquired by using an Ilyushin Il-14 ski-equipped aircraft. Survey operations were centered on the field base stations Druzhnaya-1, -2, and -3, from which the majority of the Weddell Sea region network was completed. The composite map of the Weddell Sea region is prepared in colour, showing magnetic anomaly contours at intervals of 50-100 nT with supplemental contours at an interval of 25 nT in low gradient areas, on a polar stereographic projection. The compiled colour magnetic anomaly map of the Weddell Sea region demonstrates that features of large areal extent, such as geologic provinces, fold-belts, ancient eratonic fragments and other regional structural features can be readily delineated. The map allows a comparison of regional magnetic features with similar-scale geological structures on geological and geophysical maps. It also provides a database for the future production of the ''Digital Magnetic Anomaly Map of Antarctica'' in the framework of the Scientific Committee on Antarctic Research/International Association of Geomagnetism and Aeronomy (SCAR/IAGA) compilation.

Corrected ICESat altimetry data, surface mass balance, and firn elevation change on Antarctic ice shelves

Accurate prediction of global sea-level rise requires that we understand the cause of recent, widespread and intensifying glacier acceleration along Antarctic ice-sheet coastal margins. Floating ice shelves buttress the flow of grounded tributary glaciers and their thickness and extent are particularly susceptible to changes in both climate and ocean forcing. Recent ice-shelf collapse led to retreat and acceleration of several glaciers on the Antarctic Peninsula. However, the extent and magnitude of ice-shelf thickness change, its causes and its link to glacier flow rate are so poorly understood that its influence on the future of the ice sheets cannot yet be predicted. Here we use satellite laser altimetry and modelling of the surface firn layer to reveal for the first time the circum-Antarctic pattern of ice-shelf thinning through increased basal melt. We deduce that this increased melt is the primary driver of Antarctic ice-sheet loss, through a reduction in buttressing of the adjacent ice sheet that has led to accelerated glacier flow. The highest thinning rates (~7 m/a) occur where warm water at depth can access thick ice shelves via submarine troughs crossing the continental shelf. Wind forcing could explain the dominant patterns of both basal melting and the surface melting and collapse of Antarctic ice shelves, through ocean upwelling in the Amundsen and Bellingshausen Seas and atmospheric warming on the Antarctic Peninsula. This implies that climate forcing through changing winds influences Antarctic Ice Sheet mass balance, and hence global sea-level, on annual to decadal timescales.

Aplicaciones de la proyección estereográfica en ingeniería geológica

La proyección estereográfica proporciona una herramienta fundamental en el campo de la ingeniería geológica. Su principal interés estriba en el hecho de que con ella podemos representar orientaciones (dirección) e inclinación (buzamiento o inmersión) preferentes de elementos que en la naturaleza no se presentan con desarrollos geométricos perfectos, como es el caso de un estrato, donde el plano de techo y de muro presentan irregularidades puntuales aunque con una tendencia general. Además este tipo de representación permite medir los ángulos de forma directa. Entre sus aplicaciones más importantes se encuentra el reconocimiento de juegos de diaclasas en un afloramiento rocoso, la determinación de la dirección y el buzamiento de un estrato, la determinación del tipo de rotura en un movimiento de ladera, etc. Con este trabajo se pretende mostrar la utilidad de la proyección estereográfica, explicando las modalidades existentes y algunas de sus aplicaciones prácticas en ingeniería geológica.

Procedimiento gráfico para la obtención de los parámetros de corrección del SMR a través de la proyección estereográfica

El Slope Mass Rating (SMR, Romana, 1985) constituye una clasificación geomecánica de uso muy extendido para la caracterización de taludes en roca. Se obtiene por adición al índice RMR básico, calculado a partir de valores característicos del macizo rocoso, de una serie de factores de corrección dependientes del paralelismo discontinuidad-talud, del buzamiento de las discontinuidades, del buzamiento relativo entre las discontinuidades y el talud, así como del método de excavación empleado. En este trabajo se propone un método gráfico que permite obtener los parámetros de corrección del SMR (F1, F2 y F3) representando en proyección estereográfica los planos de discontinuidad y del talud a estudiar.

World Bathymetric Chart of the Oceans, 1899 (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Bathymetrical chart of the oceans, showing the "deeps" according to Sir John Murray. It was published by the Royal Geographical Society in 1899. Scale [ca. 1:100,000,000]. The image inside the map neatline is georeferenced to the surface of the earth and fit to the 'World Gall Stereographic' projection with the central meridian at 20.00000 degrees west. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, shoreline features, and more. Relief shown by hypsometric tints. Depths shown by gradient tints. This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection and the Harvard University Library as part of the Open Collections Program at Harvard University project: Organizing Our World: Sponsored Exploration and Scientific Discovery in the Modern Age. Maps selected for the project correspond to various expeditions and represent a range of regions, originators, ground condition dates, scales, and purposes.

Arabian Peninsula, ca. 1747-1767 (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Carte de la coste d'Arabie, Mer Rouge et Golfe de Perse : tir�e de la Carte de l'Oc�an Oriental publi�e en 1740 par Ordre de Mgr le Comte de Maurepas augment�e sur des remarques particuli�res et dress�e sur des observations astronomiques = Kaart van de Kust van Arabi�, de Roode-Zee en de Gulf van Persi� Gemaakt na de Fransse-Kaart van den Ooster-Ocean uitgegeven A. 1740 op Bevel van den Hre Grave de Maurepas Vermeederd op byzondere Aanmerkingen, en geschikt volgens Sterrekundige-Waarnemingen, J. V. Schley. It was published by Pierre de Hondt between 1747 and 1767. Scale [ca. 1:14,000,000]. Covers the Arabian Peninsula. Map in French and Dutch. The image inside the map neatline is georeferenced to the surface of the earth and fit to the World Gall Stereographic projection. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, cities and other human settlements, shoreline features, and more. This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection as part of the Open Collections Program at Harvard University project: Islamic Heritage Project. Maps selected for the project represent a range of regions, originators, ground condition dates, scales, and purposes. The Islamic Heritage Project consists of over 100,000 digitized pages from Harvard's collections of Islamic manuscripts and published materials. Supported by Prince Alwaleed Bin Talal and developed in association with the Prince Alwaleed Bin Talal Islamic Studies Program at Harvard University.

Southeast Asia, ca. 1650 (Raster Image)

This layer is a georeferenced raster image of the historic paper map entitled: Insularum Indiae Orientalis : nova descriptio, Ioannis Ianssonius. It was published by Ioannis Ianssonius ca. 1650. Scale [ca. 1:12,000,000]. Cover Southeast Asia. Map in Latin. The image inside the map neatline is georeferenced to the surface of the earth and fit to the World Gall Stereographic projection. All map collar and inset information is also available as part of the raster image, including any inset maps, profiles, statistical tables, directories, text, illustrations, index maps, legends, or other information associated with the principal map. This map shows features such as drainage, cities and other human settlements, territorial boundaries, shoreline features, and more. Relief shown pictorially. This layer is part of a selection of digitally scanned and georeferenced historic maps from the Harvard Map Collection as part of the Open Collections Program at Harvard University project: Islamic Heritage Project. Maps selected for the project represent a range of regions, originators, ground condition dates, scales, and purposes. The Islamic Heritage Project consists of over 100,000 digitized pages from Harvard's collections of Islamic manuscripts and published materials. Supported by Prince Alwaleed Bin Talal and developed in association with the Prince Alwaleed Bin Talal Islamic Studies Program at Harvard University.