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 79
Side 34
... meet towards B , D. In like manner it may be demonftrated that C they do not meet towards A , C ; but those straight lines A E B G F D which meet neither way , though produced ever so far , are pa- AB therefore is parallel to CD . b 35 ...
... meet towards B , D. In like manner it may be demonftrated that C they do not meet towards A , C ; but those straight lines A E B G F D which meet neither way , though produced ever so far , are pa- AB therefore is parallel to CD . b 35 ...
Side 209
... meet one another , but are not in the fame plane with AB , BC : The planes through AB , BC , and DE , EF fhall not meet , though produced . From the point B draw BG perpendicular to the plane a II . II . which passes through DE , EF ...
... meet one another , but are not in the fame plane with AB , BC : The planes through AB , BC , and DE , EF fhall not meet , though produced . From the point B draw BG perpendicular to the plane a II . II . which passes through DE , EF ...
Side 210
... meet one another ; but they do not meet , fince they are parallel by the hypothefis : Therefore the straight lines EF , GH do not meet when A E F H B Ꭰ produced on the fide of FH ; In the fame manner it may be proved , that EF , GH do not ...
... meet one another ; but they do not meet , fince they are parallel by the hypothefis : Therefore the straight lines EF , GH do not meet when A E F H B Ꭰ produced on the fide of FH ; In the fame manner it may be proved , that EF , GH do not ...
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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