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1 We search the concepts and methods ) of the theory of deformable sonds from GALILEO to LAGRANGE. Neither of them achieved much in our subject, but their works serve as 2 termini: With GALILEO's Discorsi in 1638 our matter begins ) (for this is the history of mathematical theory), while LAGRANGE's Mechanique Analitique closed the mechanics of 1) There are three major historical works that bear on our subject. The first is A history of the theory of elasticity and of the strength of materials by I. ToDHUNTER, "edited and completed" by K. PEARSON, Vol. I, Cambridge, 1886. Unfortunately it is necessary to give warning that this book fails to meet the standard set by the histories ToDHUNTER lived to finish. Much of what ToDHUNTER left seems to be rather the rough notes for a book than the book itself; the parts due to PEARSON are fortunately distinguished by square brackets. Researches prior to 1800 are disposed of in the first chapter, 79 pages long and almost entirely the work of PEARSON; as frontispiece to a work whose title restricts it to theory he saw fit to supply a possibly original pen drawing entitled "Rupture. Sur faces of Cast-Iron".

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Der Band enthalt einen Teil der Abhandlungen Eulers zur Stoerungstheorie. Er ist der zweite von drei diesem Thema gewidmeten Banden. Gegenstand der Untersuchungen ist die Beschreibung der Bewegung eines Himmelskoerpers um ein Zentralgestirn unter Berucksichtigung der von weiteren Himmelskoerpern auf ihn wirkenden Gravitationskrafte. Als Beispiel sei die gravitative Wirkung der Venus auf die Erdbahn erwahnt.Von grosser praktischer Bedeutung, insbesondere fur die Navigation auf See, war die Untersuchung des Einflusses der Sonne auf die Mondbewegung. Mit diesem Thema beschaftigte Euler sich Zeit seines Lebens.

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Dioptrica 1st part

by Leonhard Euler

Published 1 January 1911

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Scientia navalis 2nd part

by Leonhard Euler

Published 1 January 1972

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