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 128
... multiple of FD , that AB is of CD . Therefore , if any magnitude , & c . Q. E. D. PROP . VI . THEOR . See N. a 1. Ax ... multiple of E , that CH is of F , and that GB is equal to E , and CK to F ; therefore AB is the fame multiple of E ...
... multiple of FD , that AB is of CD . Therefore , if any magnitude , & c . Q. E. D. PROP . VI . THEOR . See N. a 1. Ax ... multiple of E , that CH is of F , and that GB is equal to E , and CK to F ; therefore AB is the fame multiple of E ...
Side 142
... multiple of the fame BE , NP , likewife the multiple of DF , fhall be greater than NM , the multiple of the fame DF ; and if KO be equal to KH , NP fhall be equal to NM ; and if lefs , lefs . First , Let KO not be greater than KH ...
... multiple of the fame BE , NP , likewife the multiple of DF , fhall be greater than NM , the multiple of the fame DF ; and if KO be equal to KH , NP fhall be equal to NM ; and if lefs , lefs . First , Let KO not be greater than KH ...
Side 320
... multiple whatever of C ; if the multiple of A be greater than the multiple of C , then , by the 5th def . of Book 5. the multiple of B is alfo greater than that of C ; but , from the hypothes that A has a greater ratio to C , than B has ...
... multiple whatever of C ; if the multiple of A be greater than the multiple of C , then , by the 5th def . of Book 5. the multiple of B is alfo greater than that of C ; but , from the hypothes that A has a greater ratio to C , than B has ...
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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