Mathematische Grundlagen Der Höheren Geodäsie Und Kartographie: Erster Band: Das Erdsphäroid Und Seine Konformen Abbildungen
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Das vorliegende Werk behandelt denjenigen Teil der mathemati- schen Geodäsie, in welchem die Erdfigur als schwach abgeplattetes Drehellipsoid mit bekannten Dimensionen, kurz Sphäroid genannt, an- genommen wird. Im Gegensatz zur "Niederen Geodäsie", wo Teile der Erdoberfläche durch Ebene oder Kugel angenähert werden; spricht man hier von der "Höheren Geodäsie". Ihre Gegenstände sind -in geometri- scher Stufenfolge - die Lage beschreibung der Punkte auf dem Sphäroid durch Koordinaten, die geodätische Linie, das geodätische Dreieck und daraus gebildete Ketten und Netze. Demgemä gliedert sich das Werk folgenderma en: Der erste Teil enthält in einheitlich organischem Aufbau die kon- forme Abbildung des Sphäroids auf- Kugel und Ebene und damit die Gewinnung ebener, rechtwinkliger, konformer Punkt-Koordinaten (Ab- schnitt I bis IX). Besonderes Gewicht wird dabei auf das Studium der Sphäroidabbildungen im Gro en gelegt, da nur hierdurch vertiefte Ein- blicke in die Struktur der Abbildungsfunktionen und ihre analytischen Darstellungsmittel gewonnen werden können. Die Formeln und Ent- wicklungen werden in einer für den praktischen Gebrauch notwendigen Vielseitigkeit und Vollständigkeit gegeben und im Hinblick auf den Praktiker mit durchaus elementaren Methoden so weit geführt, da der Anschlu an numerische Rechnungen erreicht wird. Dem gleichen Zweck dienen zahlreiche Koeffiziententabellen, die au erdem eine bequeme Abschätzung der vernachlässigten Reihenglieder erlauben. Die hierbei und in den Rechenbeispielen verwendete Genauigkeit ist durch inter- nationale Vereinbarungen festgelegt und das Ausgangszahlenmaterial der geodätischen Literatur entnommen.
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