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 Restored. Also the Book of Euclid's Data, in Like Manner CorrectedCuthell & Martin, London, 1803 - 520 sider |
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Resultat 1-3 av 67
Side 235
... folid EQ is equal to the folid AE ; and Book XI . the folid FY to the folid CF ; becaufe they are upon the fame bafes and of the fame altitude : ' Therefore the folid AE is equal to the folid CF : Wherefore folid parallelepipeds , & c ...
... folid EQ is equal to the folid AE ; and Book XI . the folid FY to the folid CF ; becaufe they are upon the fame bafes and of the fame altitude : ' Therefore the folid AE is equal to the folid CF : Wherefore folid parallelepipeds , & c ...
Side 237
... folid EX to the folid PL ; and as PE to KM , fod is the folid PL to the folid KO : And therefore as the folid AB to the folid EX , fo is EX to PL , and PL to KO : But if four magnitudes be continual propor- tionals , the firft is faid ...
... folid EX to the folid PL ; and as PE to KM , fod is the folid PL to the folid KO : And therefore as the folid AB to the folid EX , fo is EX to PL , and PL to KO : But if four magnitudes be continual propor- tionals , the firft is faid ...
Side 241
... folid CD to the folid CV : And therefore as the Book XI . folid AB to the folid CV , fo is the folid CD to . the folid CV ; that is , each of the folids AB , CD has the same ratio to the c 25. 11 . folid CV ; and therefore the folid AB is ...
... folid CD to the folid CV : And therefore as the Book XI . folid AB to the folid CV , fo is the folid CD to . the folid CV ; that is , each of the folids AB , CD has the same ratio to the c 25. 11 . folid CV ; and therefore the folid AB is ...
Andre utgaver - Vis alle
The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
Vanlige uttrykk og setninger
AC is equal alfo alſo angle ABC angle BAC bafe baſe BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone cylinder defcribed demonftrated drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon 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 parallelepipeds parallelogram perpendicular prifm PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſhall ſphere ſquare thefe THEOR theſe tiple triangle ABC wherefore