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 120
... fourth . See N. VI . Magnitudes which have the fame ratio are called proportionals , N. B. When four magnitudes are proportionals , it is usually expressed by saying , the firft is to the fecond , as the third to the fourth . ' VII ...
... fourth . See N. VI . Magnitudes which have the fame ratio are called proportionals , N. B. When four magnitudes are proportionals , it is usually expressed by saying , the firft is to the fecond , as the third to the fourth . ' VII ...
Side 121
... fourth ; or that the firft is to the third , as the fecond to the fourth : As is fhewn in the 16th prop . of this 5th book . XIV . Invertendo , by inverfion : When there are four proportionals , and it is inferred , that the fecond is ...
... fourth ; or that the firft is to the third , as the fecond to the fourth : As is fhewn in the 16th prop . of this 5th book . XIV . Invertendo , by inverfion : When there are four proportionals , and it is inferred , that the fecond is ...
Side 129
... fourth ; then , if the first be greater than the fecond , the third is alfo greater than the fourth ; and , if equal , equal ; if lefs , lefs . Take any equimultiples of each of them , as the doubles of each ; then , by def . 5th of ...
... fourth ; then , if the first be greater than the fecond , the third is alfo greater than the fourth ; and , if equal , equal ; if lefs , lefs . Take any equimultiples of each of them , as the doubles of each ; then , by def . 5th of ...
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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