The Foundations of the Euclidian Geometry As Viewed From the Standpoint of Kinem
The Foundations of the Euclidian Geometry As Viewed From the Standpoint of Kinem
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In our eReader you can find the full English version of the book. Read The Foundations of the Euclidian Geometry As Viewed From the Standpoint of Kinem Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Foundations of the Euclidian Geometry As Viewed From the Standpoint of Kinem
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Now, the analogy leads one naturally to think that if there can exist a similar interpretation for the non-Euclidian stereometry y this interpretation must be deducible from the con- sideration of a space whose linear element is not reducible to the form Vdx^ + dy'^ + dz^y — a form which essentially characterizes the Euclidian space. And since up till noWy as it seems to us, we have been wanting the notion of a space different from the Euclidiany or, at leasty such a space is beyond the domain ...of ordinary geometry y it is reasonable to suppose that, even if the analytical considerations upon ivhich the "preceding constructions are basedy were susceptible of being extended and carried over from the region of two variables into that of three variableSy nevertheless the results obtained in this last case could not be interpreted by the ordinary geometry. This conjecture acquires a degree of prob- ability bounding very closely on certainty, when one under- takes to extend the preceding analysis to the case of three variables.
What to read after The Foundations of the Euclidian Geometry As Viewed From the Standpoint of Kinem?
You can find similar books in the "Read Also" column, or choose other free books by Israel Euclid Rabinovitch to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Now, the analogy leads one naturally to think that if there can exist a similar interpretation for the non-Euclidian stereometry y this interpretation must be deducible from the con- sideration of a space whose linear element is not reducible to the form Vdx^ + dy'^ + dz^y — a form which essentially characterizes the Euclidian space. And since up till noWy as it seems to us, we have been wanting the notion of a space different from the Euclidiany or, at leasty such a space is beyond the domain ...of ordinary geometry y it is reasonable to suppose that, even if the analytical considerations upon ivhich the "preceding constructions are basedy were susceptible of being extended and carried over from the region of two variables into that of three variableSy nevertheless the results obtained in this last case could not be interpreted by the ordinary geometry. This conjecture acquires a degree of prob- ability bounding very closely on certainty, when one under- takes to extend the preceding analysis to the case of three variables.
What to read after The Foundations of the Euclidian Geometry As Viewed From the Standpoint of Kinem?
You can find similar books in the "Read Also" column, or choose other free books by Israel Euclid Rabinovitch to read onlineMoreLess
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