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 86
Side 122
... first is to the laft of the first rank of magnitudes , as the first is to the laft of the others : Of this there are the two following kinds , which arife from the different order in ' which the magnitudes are taken two and two . ' ΧΙΧ ...
... first is to the laft of the first rank of magnitudes , as the first is to the laft of the others : Of this there are the two following kinds , which arife from the different order in ' which the magnitudes are taken two and two . ' ΧΙΧ ...
Side 138
... first has a greater ratio to the second , than the fifth has to the fixth . PROP . XIV . THEOR . F the first has to the fecond , the fame ratio which the third has to the fourth ; then , if the first be greater than the third , the ...
... first has a greater ratio to the second , than the fifth has to the fixth . PROP . XIV . THEOR . F the first has to the fecond , the fame ratio which the third has to the fourth ; then , if the first be greater than the third , the ...
Side 332
... first to the laft , to one another , whether they be the fame , or be not the fame , are indicated ; as in magnitudes which are continual proportionals A , B , C , D , & c . the duplicate ratio of the first to the fecond is only a name ...
... first to the laft , to one another , whether they be the fame , or be not the fame , are indicated ; as in magnitudes which are continual proportionals A , B , C , D , & c . the duplicate ratio of the first to the fecond is only a name ...
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