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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Side 320
... ratio to C , than B has to C , there must , by the 7th def . of book 5. be certain equimultiples of A and B , and ... given the demonftration of the 10th propofition as we now have it , inftead of that which Eudoxus or Euclid had given ...
... ratio to C , than B has to C , there must , by the 7th def . of book 5. be certain equimultiples of A and B , and ... given the demonftration of the 10th propofition as we now have it , inftead of that which Eudoxus or Euclid had given ...
Side 329
... ratio might have been made after the fame manner in which the definitions of duplicate and triplicate ratio are given , viz . " That as in feveral magni- " tudes that are continual proportionals , Euclid named the “ ratio of the first ...
... ratio might have been made after the fame manner in which the definitions of duplicate and triplicate ratio are given , viz . " That as in feveral magni- " tudes that are continual proportionals , Euclid named the “ ratio of the first ...
Side 330
... ratio , or to be understood from it , to wit , in the fame manner as Clavius has explained it in the pre- ceding ... given of it by all the commentators , the ratio which is compounded of the ratios of C to E , and D to Z , is the ratio ...
... ratio , or to be understood from it , to wit , in the fame manner as Clavius has explained it in the pre- ceding ... given of it by all the commentators , the ratio which is compounded of the ratios of C to E , and D to Z , is the ratio ...
Side 332
... ratio which is compound- ed of the ratios of the fides : For the vulgar reading , " which " is compounded of their ... given ratios . From what has been faid , it may be obferved , that in any magnitudes whatever of the fame kind A , B , C , ...
... ratio which is compound- ed of the ratios of the fides : For the vulgar reading , " which " is compounded of their ... given ratios . From what has been faid , it may be obferved , that in any magnitudes whatever of the fame kind A , B , C , ...
Side 367
... ratio is faid to be given , when a ratio of a given magnitude to a given magnitude which is the fame ratio with it can be found . III . Rectilineal figures are faid to be given in fpecies , which have each of their angles given , and ...
... ratio is faid to be given , when a ratio of a given magnitude to a given magnitude which is the fame ratio with it can be found . III . Rectilineal figures are faid to be given in fpecies , which have each of their angles given , and ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
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