The Elements of Euclid, Viz; The Errors, by Which Theon, or Others, Have Long Ago Vitiated These Books, Are Corrected; And Some of Euclid's Demonstrations Are Restored. Also the Book of Euclid's Data, in Like Manner Corrected
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Home > Art, Film & Photography > The Elements of Euclid, Viz; The Errors, by Which Theon, or Others, Have Long Ago Vitiated These Books, Are Corrected; And Some of Euclid's Demonstrations Are Restored. Also the Book of Euclid's Data, in Like Manner Corrected
The Elements of Euclid, Viz; The Errors, by Which Theon, or Others, Have Long Ago Vitiated These Books, Are Corrected; And Some of Euclid's Demonstrations Are Restored. Also the Book of Euclid's Data, in Like Manner Corrected

The Elements of Euclid, Viz; The Errors, by Which Theon, or Others, Have Long Ago Vitiated These Books, Are Corrected; And Some of Euclid's Demonstrations Are Restored. Also the Book of Euclid's Data, in Like Manner Corrected


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About the Book

This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1775 Excerpt: ... XH. THEOR, (jimilar cones and cylinders have to one another see it. the triplicate ratio of that which the diameters of heir bases have. Let the cones and cylinders of which the bases are the circles ABCD, EFGH, and the diameters of the bases AC, EG, and IL, MNhe axes of the cones or cylinders, be similar: The one of which the base is the circle ABCD, and vertex the (oiot L, has to the cone of which the base is the circle EFGH, ad vertex N, the triplicate ratio of that which AC has to EG. For, if the cone ABCDL has not to the cone EFGHN the riplicate ratio of that which AC has to EG, the cone ABCDL hall have the triplicate of that ratio to fome folid which is less Sa-or Bock xr!. or greater than the cone EFGHN. First, let it have it to a less, ---"v--vjz. to tnc folid x: Make the fame construction as in the preceding. proposition, and it may be demonstrated the very fame way as in that proposition, that the pyramid of which the base is the polygon EOFPGRHS, and vertex N, is greater than the folid X. Describe aifo in the circle ABCD the polygon ATBYCVDQJimilar to the polygon EOFPGRHS, upon which erect a pyramid having the fame vertex with the cone; and let LAQ_be one of the triangles containing the pyramid upon the polygon ATBYCVDQthe vertex of which is L; and let NES be one of the triangles containing the pyramid upon the polygon EOFPGRHS of which the vertex is N; and join KQ, MS: Because then thr cone ABCDL is similar to the cone a -. def. EFGHN, AC is - to EG, as the axis KL to the axis MN; " ai d as AC toEG, so 1 is AK to EM; therefore us AK to, J-J' EM, fo is KL to MN; and, alternately, Ak to KL, as EM 10 MN: And the right angles AKL, EMN are equal; therefore, the sides about these equal angles beinij proportionals, c t. e. the triang...


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Product Details
  • ISBN-13: 9781231758953
  • Publisher: Rarebooksclub.com
  • Publisher Imprint: Rarebooksclub.com
  • Height: 246 mm
  • No of Pages: 148
  • Spine Width: 8 mm
  • Width: 189 mm
  • ISBN-10: 1231758953
  • Publisher Date: 01 May 2012
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 277 gr


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The Elements of Euclid, Viz; The Errors, by Which Theon, or Others, Have Long Ago Vitiated These Books, Are Corrected; And Some of Euclid's Demonstrations Are Restored. Also the Book of Euclid's Data, in Like Manner Corrected
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The Elements of Euclid, Viz; The Errors, by Which Theon, or Others, Have Long Ago Vitiated These Books, Are Corrected; And Some of Euclid's Demonstrations Are Restored. Also the Book of Euclid's Data, in Like Manner Corrected
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The Elements of Euclid, Viz; The Errors, by Which Theon, or Others, Have Long Ago Vitiated These Books, Are Corrected; And Some of Euclid's Demonstrations Are Restored. Also the Book of Euclid's Data, in Like Manner Corrected

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