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 226
The First Six Books, Together with the Eleventh and Twelfth. ... the folid LV is greater than the folid NV ; and if lefs , lefs : Since then there are four magnitudes , viz . the two bafes AF , FH , X 1 C. II . See N. a II . II . b 23.
The First Six Books, Together with the Eleventh and Twelfth. ... the folid LV is greater than the folid NV ; and if lefs , lefs : Since then there are four magnitudes , viz . the two bafes AF , FH , X 1 C. II . See N. a II . II . b 23.
Side 316
The First Six Books, Together with the Eleventh and Twelfth. ... That , if four 84 magnitudes be proportionals , the third muft neceffarily be " greater than the fourth , when the first is greater than the fecond : as Clavius ...
The First Six Books, Together with the Eleventh and Twelfth. ... That , if four 84 magnitudes be proportionals , the third muft neceffarily be " greater than the fourth , when the first is greater than the fecond : as Clavius ...
Side 317
The First Six Books, Together with the Eleventh and Twelfth. ... proportionals contained in the 20th def . of the 7th book : And moft of the commentators judge it difficult to prove that four magnitudes which are proportionals according ...
The First Six Books, Together with the Eleventh and Twelfth. ... proportionals contained in the 20th def . of the 7th book : And moft of the commentators judge it difficult to prove that four magnitudes which are proportionals according ...
Side 319
The First Six Books, Together with the Eleventh and Twelfth. ... the fame or equal , leffer , have a quite different meaning when applied to magnitudes and ratios , as is plain from the 5th and 7th definitions of book 5.
The First Six Books, Together with the Eleventh and Twelfth. ... the fame or equal , leffer , have a quite different meaning when applied to magnitudes and ratios , as is plain from the 5th and 7th definitions of book 5.
Side 320
The First Six Books, Together with the Eleventh and Twelfth. ... 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 ...
The First Six Books, Together with the Eleventh and Twelfth. ... 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 ...
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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 |
Vanlige uttrykk og setninger
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