Letters of Euler to a German Princess, on Different Subjects in Physics and Philosophy, Volume 2

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Murray and Highley, 1802


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Page 18 - ... the three angles of a triangle are together equal to two right angles, although it is not known to all.
Page 17 - You know that extension is the proper object of geometry, which considers bodies only in so far as they are extended, abstractedly from impenetrability and inertia ; the object of geometry, therefore, is a notion much more general than that of body, as it comprehends, not only bodies, but all things simply extended, without impenetrability, if any such there be. Hence it follows that all the properties deduced in geometry from the notion of extension must likewise take place in bodies, inasmuch as...

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