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 369
... added ; and the fame must be understood in all the propofitions of the book which depend upon this fecond propofition , where it is not expressly mention- ed . See the note upon it . PROP . III . IF any given magnitudes be added ...
... added ; and the fame must be understood in all the propofitions of the book which depend upon this fecond propofition , where it is not expressly mention- ed . See the note upon it . PROP . III . IF any given magnitudes be added ...
Side 381
... added to one of them , and the other be 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 ...
... added to one of them , and the other be 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 ...
Side 468
... added , as being wanting to complete the sub- ject treated of in the four preceding propositions . PROP . XXIII . This , which is prop . 20. in the Greek text , was separated from prop . 14. 15. 16. in that text , after which it fhould ...
... added , as being wanting to complete the sub- ject treated of in the four preceding propositions . PROP . XXIII . This , which is prop . 20. in the Greek text , was separated from prop . 14. 15. 16. in that text , after which it fhould ...
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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