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 89
Side 54
... wherefore GCB is a right angle ; and therefore alfo the angles f CGK , GKB oppofite to these , are right angles , and CGKB is rectangular : But it is alfo equilateral , as was demonftrated ; wherefore it is a fquare , and it is upon the ...
... wherefore GCB is a right angle ; and therefore alfo the angles f CGK , GKB oppofite to these , are right angles , and CGKB is rectangular : But it is alfo equilateral , as was demonftrated ; wherefore it is a fquare , and it is upon the ...
Side 140
... Wherefore , as E is to F , fo is G to H. But , when four magnitudes are proportionals , if the firft be greater than the third , the fecond fhall be greater than the fourth ; and if equal , equal ; if lefs , lefs . Wherefore , if E be ...
... Wherefore , as E is to F , fo is G to H. But , when four magnitudes are proportionals , if the firft be greater than the third , the fecond fhall be greater than the fourth ; and if equal , equal ; if lefs , lefs . Wherefore , if E be ...
Side 385
... wherefore LE is given : And because as KD to EF , fo is CK to LE , and A fo bis CD to LF ; the ratio of CD to LF is given : But the ratio of CD to HB is given , wherefore the ratio of HB to LF is given : C L G KE c 9. dat . and from HB ...
... wherefore LE is given : And because as KD to EF , fo is CK to LE , and A fo bis CD to LF ; the ratio of CD to LF is given : But the ratio of CD to HB is given , wherefore the ratio of HB to LF is given : C L G KE c 9. dat . and from HB ...
Andre utgaver - Vis alle
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