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 85
Side 129
... lefs , lefs . Take any equimultiples of each of them , as the doubles of each ; then , by def . 5th of this book , if the double of the firft be greater than the double of the fecond , the double of the third is greater than the double ...
... lefs , lefs . Take any equimultiples of each of them , as the doubles of each ; then , by def . 5th of this book , if the double of the firft be greater than the double of the fecond , the double of the third is greater than the double ...
Side 136
... lefs , lefs 2. Again , be- caufe C is to D , as E is to F , and H , K are taken equimultiples of C , E , and M , N , of D , F : if H be greater than M , K is greater than N ; and if equal , equal ; and if lefs , lefs ; But , if G G H K ...
... lefs , lefs 2. Again , be- caufe C is to D , as E is to F , and H , K are taken equimultiples of C , E , and M , N , of D , F : if H be greater than M , K is greater than N ; and if equal , equal ; and if lefs , lefs ; But , if G G H K ...
Side 145
... lefs , lefs . b Book V. a 8.5 . Because A is greater than C , and B is any other magnitude , and that the greater has to the fame magnitude a greater ratio than the less has to it ; therefore A has to B a greater ra- tio than C has to B ...
... lefs , lefs . b Book V. a 8.5 . Because A is greater than C , and B is any other magnitude , and that the greater has to the fame magnitude a greater ratio than the less has to it ; therefore A has to B a greater ra- tio than C has to B ...
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