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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Side 127
... taken from the first is of a mag- nitude taken from the other ; the remainder fhall be the . fame multiple of the remainder , that the whole is of the whole . Let the magnitude AB be the fame multiple of CD , that AE taken from the ...
... taken from the first is of a mag- nitude taken from the other ; the remainder fhall be the . fame multiple of the remainder , that the whole is of the whole . Let the magnitude AB be the fame multiple of CD , that AE taken from the ...
Side 144
... taken from the first , is to a magnitude taken from the other ; the remainder likewife is to the remainder , as the magnitude taken from the firft to that taken from the other : The demonftration is contained in the prece- , ding . 2 ...
... taken from the first , is to a magnitude taken from the other ; the remainder likewife is to the remainder , as the magnitude taken from the firft to that taken from the other : The demonftration is contained in the prece- , ding . 2 ...
Side 381
... taken from a given magnitude ; the fum , together with the magnitude to which the remainder has a given ratio , is given : And the remainder is gi- ven together with the magnitude to which the fum has a given ratio . Let the two ...
... taken from a given magnitude ; the fum , together with the magnitude to which the remainder has a given ratio , is given : And the remainder is gi- ven together with the magnitude to which the fum has a given ratio . Let the two ...
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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