The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh and Twelfth. 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 CorrE. Wingrove, London, and J. Balfour, Edinburgh, 1793 - 520 sider |
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Resultat 1-5 av 79
Side 320
... given the demonftration of the 10th propofition as we now have it , inftead of that which Eudoxus or Euclid had given , has been deceived in applying what is manifeft , when understood of magnitudes , unto ratios , viz . that a magnitude ...
... given the demonftration of the 10th propofition as we now have it , inftead of that which Eudoxus or Euclid had given , has been deceived in applying what is manifeft , when understood of magnitudes , unto ratios , viz . that a magnitude ...
Side 338
... given straight line that shall be equal to a given rectangle , exceeding by a fquare . Let AB be the given ftraight ... magnitude of it being likewise given , to find its fides . And the 4th problem is the fame with this , To find a ...
... given straight line that shall be equal to a given rectangle , exceeding by a fquare . Let AB be the given ftraight ... magnitude of it being likewise given , to find its fides . And the 4th problem is the fame with this , To find a ...
Side 339
Viz. The First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long ... given AB the difference of the fides of a rectangle , and the magnitude of it , to find the fides . PROP . XXXI . B ...
Viz. The First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long ... given AB the difference of the fides of a rectangle , and the magnitude of it , to find the fides . PROP . XXXI . B ...
Side 341
... magnitude , that are neither fimilar nor equal , as shall be demonstrated ... Magnitudes that wholly coincide , are equal " to one another ; " or from prop . A ... given no definition of e- qual figures , and it is certain he did not give ...
... magnitude , that are neither fimilar nor equal , as shall be demonstrated ... Magnitudes that wholly coincide , are equal " to one another ; " or from prop . A ... given no definition of e- qual figures , and it is certain he did not give ...
Side 344
... magnitude D which is lefs than A , B , C together , but greater than the excefs of A above B and C : Then B , C , D together are greater than A ; and because A is greater than either B or C , much more will A and D , together with ...
... magnitude D which is lefs than A , B , C together , but greater than the excefs of A above B and C : Then B , C , D together are greater than A ; and because A is greater than either B or C , much more will A and D , together with ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
Vanlige uttrykk og setninger
alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame multiple fame ratio fecond fegment fhall fide BC fides fimilar firft firſt folid angle fome fore fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC muſt oppofite parallel parallelepiped parallelogram perpendicular plane angles PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſame ſhall ſphere ſquare THEOR theſe tiple triangle ABC wherefore