The Elements of EuclidA. Foulis, 1838 - 466 sider |
Inni boken
Resultat 1-3 av 34
Side 292
... added . befides the tranflation from the Arabic has this cafe explicitely demonstrated . and Prochus acknowledges that the fecond part of Prop . 5. was added upon account of Prop . 7. but gives a ridiculous reason for it , " that it ...
... added . befides the tranflation from the Arabic has this cafe explicitely demonstrated . and Prochus acknowledges that the fecond part of Prop . 5. was added upon account of Prop . 7. but gives a ridiculous reason for it , " that it ...
Side 361
... added ; and the fame must be under- ftood in all the Propofitions of the Book which depend upon this fecond Proposition , where it is not exprefsly mentioned . See the Note upon it . PROP . III . IF any given magnitudes be added ...
... added ; and the fame must be under- ftood in all the Propofitions of the Book which depend upon this fecond Proposition , where it is not exprefsly mentioned . See the Note upon it . PROP . III . IF any given magnitudes be added ...
Side 7
... added , then AC will be equal to BD , and DC together ; that is , to BC , and twice DC ; confequently twice DC is the difference , and DC half that difference ; but AC the greater is equal to AD , DC ; that is , to half the fum added to ...
... added , then AC will be equal to BD , and DC together ; that is , to BC , and twice DC ; confequently twice DC is the difference , and DC half that difference ; but AC the greater is equal to AD , DC ; that is , to half the fum added to ...
Andre utgaver - Vis alle
Vanlige uttrykk og setninger
AC is equal alfo alſo angle ABC angle BAC bafe baſe BC is given becauſe the angle bifected Book XI cafe circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fhall fhewn fide BC fides fimilar fince 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 prifms Propofition proportionals pyramid rectangle contained rectilineal figure right angles ſhall ſphere ſquare thefe THEOR theſe thro tiple triangle ABC wherefore