The Elements of EuclidA. Foulis, 1838 - 466 sider |
Inni boken
Resultat 1-3 av 68
Side 9
... shall be equal , each B to each , viz . the angle ABC A D Book I. CE to the angle DEF , and the angle ACB to DFE ... shall coincide with the point E , because AB is equal to DE . and AB coin- ciding with DE , AC shall coincide with DF ...
... shall be equal , each B to each , viz . the angle ABC A D Book I. CE to the angle DEF , and the angle ACB to DFE ... shall coincide with the point E , because AB is equal to DE . and AB coin- ciding with DE , AC shall coincide with DF ...
Side 63
... shall cut it at right bangles ; wherefore FEA is a right angle . again , because the straight b Fi BE a . r . ib . 3. 3 . line FE bifects the straight line BD which does not pafs thro ' the center , it shall cut it at right angles ...
... shall cut it at right bangles ; wherefore FEA is a right angle . again , because the straight b Fi BE a . r . ib . 3. 3 . line FE bifects the straight line BD which does not pafs thro ' the center , it shall cut it at right angles ...
Side 133
... shall be to the second , as the third and fourth together to the fourth . Let AE , EB , CF , FD be proportionals ; that is , as AE to EB , fo is CF to FD ; they shall also be proportionals when taken jointly ; that is , as AB to BE , fo ...
... shall be to the second , as the third and fourth together to the fourth . Let AE , EB , CF , FD be proportionals ; that is , as AE to EB , fo is CF to FD ; they shall also be proportionals when taken jointly ; that is , as AB to BE , fo ...
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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