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 34
... opposite angle EFG ; but it is alfo equal to it , which is impoffible ; there- fore AB and CD being pro- duced do not meet towards B , D. In like manner it may be demonftrated that C they do not meet towards A , C ; but those straight ...
... opposite angle EFG ; but it is alfo equal to it , which is impoffible ; there- fore AB and CD being pro- duced do not meet towards B , D. In like manner it may be demonftrated that C they do not meet towards A , C ; but those straight ...
Side 107
... opposite to the obtufe angle . To in PROP . VI . PRO B. O infcribe a square in a given circle . Let ABCD be the given circle ; it is required to infcribe a fquare in ABCD . A Draw the diameters AC , BD at right angles to one another ...
... opposite to the obtufe angle . To in PROP . VI . PRO B. O infcribe a square in a given circle . Let ABCD be the given circle ; it is required to infcribe a fquare in ABCD . A Draw the diameters AC , BD at right angles to one another ...
Side 488
... opposite to the bafe . Q. E. D. PRO P. VII . FIG . 12. 13 . Na plain triangle , the bafe is to the fum of the fides ference of the fegments of the base made by the per- pendicular upon it from the vertex , according as the fquare of the ...
... opposite to the bafe . Q. E. D. PRO P. VII . FIG . 12. 13 . Na plain triangle , the bafe is to the fum of the fides ference of the fegments of the base made by the per- pendicular upon it from the vertex , according as the fquare of the ...
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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