The Legacy of Greece
The Legacy of Greece
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In our eReader you can find the full English version of the book. Read The Legacy of Greece 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 Legacy of Greece
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G. As an oblique section of a rightcylinder, there is no doubt that he produced all three conics from rightcones like his predecessors. Apollonius, however, obtains them in themost general way by cutting any oblique cone, and his original axes ofreference, a diameter and the tangent at its extremity, are in generaloblique; the fundamental properties are found with reference to theseaxes by 'application of areas', the three varieties of which, _application_ (παραβολη {parabolê}), application wit...h an _excess_(ὑπερβολη {hyperbolê}) and application with a _deficiency_ (ελλειψις{elleipsis}), give the properties of the three curves respectively andaccount for the names _parabola_, _hyperbola_, and _ellipse_, by whichApollonius called them for the first time. The principal axes onlyappear, as a particular case, after it has been shown that the curveshave a like property when referred to any other diameter and the tangentat its extremity, instead of those arising out of the originalconstruction.
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To quickly assess the difficulty of the text, read a short excerpt:
G. As an oblique section of a rightcylinder, there is no doubt that he produced all three conics from rightcones like his predecessors. Apollonius, however, obtains them in themost general way by cutting any oblique cone, and his original axes ofreference, a diameter and the tangent at its extremity, are in generaloblique; the fundamental properties are found with reference to theseaxes by 'application of areas', the three varieties of which, _application_ (παραβολη {parabolê}), application wit...h an _excess_(ὑπερβολη {hyperbolê}) and application with a _deficiency_ (ελλειψις{elleipsis}), give the properties of the three curves respectively andaccount for the names _parabola_, _hyperbola_, and _ellipse_, by whichApollonius called them for the first time. The principal axes onlyappear, as a particular case, after it has been shown that the curveshave a like property when referred to any other diameter and the tangentat its extremity, instead of those arising out of the originalconstruction.
What to read after The Legacy of Greece?
You can find similar books in the "Read Also" column, or choose other free books by Various to read onlineMoreLess
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