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 Corr |
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Side 5
... in place of the legitimate one which Euclid had given ; and by taking out of this Book , besides other things , the good Definition which Eudoxus or Euclid had given of Compound Ratio , and given an abfurd one in place of it in the ...
... in place of the legitimate one which Euclid had given ; and by taking out of this Book , besides other things , the good Definition which Eudoxus or Euclid had given of Compound Ratio , and given an abfurd one in place of it in the ...
Side 188
PRO B. L M B cut a given ftraight line in extreme and mean ratio . Let AB be the given ftraight line ; it is required to cut it in extreme and mean ratio . Upon Muff 2 JEUN SONG G G S EL I 1 . D A Upon AB describe a 188 THE ELEMENTS.
PRO B. L M B cut a given ftraight line in extreme and mean ratio . Let AB be the given ftraight line ; it is required to cut it in extreme and mean ratio . Upon Muff 2 JEUN SONG G G S EL I 1 . D A Upon AB describe a 188 THE ELEMENTS.
Side 313
I H # 1 " litude of ratios , is of the fame kind , and can serve for no Book V. " purpose in mathematics ... definition of the ratio " of numbers ; tho ' fuch a definition was as neceffary and use" ful to be given in that book , as in ...
I H # 1 " litude of ratios , is of the fame kind , and can serve for no Book V. " purpose in mathematics ... definition of the ratio " of numbers ; tho ' fuch a definition was as neceffary and use" ful to be given in that book , as in ...
Side 320
Here it is faid that " A " would have a lefs ratio to C , than B has to C , " or , which is the fame thing ... And it seems that he who has given the demonftration of the 10th propofition as we now have it , inftead of that which ...
Here it is faid that " A " would have a lefs ratio to C , than B has to C , " or , which is the fame thing ... And it seems that he who has given the demonftration of the 10th propofition as we now have it , inftead of that which ...
Side 329
+ 2 W 1 " and of the ratio of L to M. " This definition therefore of Book VI . ... that the definition of compound ratio might have been made after the fame manner in which the definitions of duplicate and triplicate ratio are given ...
+ 2 W 1 " and of the ratio of L to M. " This definition therefore of Book VI . ... that the definition of compound ratio might have been made after the fame manner in which the definitions of duplicate and triplicate ratio are given ...
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The Elements of Euclid: Viz the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1803 |
The Elements of Euclid, Viz; The First Six Books: Together With the Eleventh ... Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
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added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe Book Book XI centre circle circle ABCD circumference common cone cylinder defcribed definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples fame fame multiple fecond fegment fhall fides fimilar firft firſt folid fore four fourth fquare fquare of BC ftraight line given angle given in fpecies given in pofition given magnitude given ratio given ſtraight line greater Greek half join lefs leſs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP propofition proportionals pyramid reaſon rectangle rectangle contained remaining right angles ſquare Take taken THEOR theſe third triangle ABC wherefore whole