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 468
... Greek is left out , as being the fame with prop . 14. in that text , which is here prop . 18 . PROP . XXIV . This , which is prop . 13. in the Greek , is now put into its proper place , having been disjoined from the three following it ...
... Greek is left out , as being the fame with prop . 14. in that text , which is here prop . 18 . PROP . XXIV . This , which is prop . 13. in the Greek , is now put into its proper place , having been disjoined from the three following it ...
Side 470
... Greek is grofsly vitiated . Dr Gregory fays , that the fentences he has inclosed betwixt two ftars are fuperfluous ... Greek text is divided into these two , for the fake of diftinctnefs ; and the demonftration of the 67th is rendered ...
... Greek is grofsly vitiated . Dr Gregory fays , that the fentences he has inclosed betwixt two ftars are fuperfluous ... Greek text is divided into these two , for the fake of diftinctnefs ; and the demonftration of the 67th is rendered ...
Side 471
... Greek text , which is not a datum , but a theorem premised as a lemma to prop . 80 . in that text : And prop . 79. is made cor . I. to prop . 77. in this edition . Cl . Hardy , in his edition of the data , takes no- tice , that in prop ...
... Greek text , which is not a datum , but a theorem premised as a lemma to prop . 80 . in that text : And prop . 79. is made cor . I. to prop . 77. in this edition . Cl . Hardy , in his edition of the data , takes no- tice , that in prop ...
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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