The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 370
... excefs of AB above AD , has a given ratio to BC ; the ratio of DC to DB is a . 7. Dat . given a . make the ratio of AD to DE the fame with this ratio ; therefore the ratio of AD to DE is given . and AD is given , wherefore A b . . Dat ...
... excefs of AB above AD , has a given ratio to BC ; the ratio of DC to DB is a . 7. Dat . given a . make the ratio of AD to DE the fame with this ratio ; therefore the ratio of AD to DE is given . and AD is given , wherefore A b . . Dat ...
Página 6
... excefs of the fame above HD , that is , above the bafe BC ; but BF or CL is the excefs of HA or AL above the fide AC , and FC , or HB , is the excefs of the fame HA above the fide AB ; therefore the rectangle contained by half the ...
... excefs of the fame above HD , that is , above the bafe BC ; but BF or CL is the excefs of HA or AL above the fide AC , and FC , or HB , is the excefs of the fame HA above the fide AB ; therefore the rectangle contained by half the ...
Página 33
... excefs of the verfed fines of the bafe AC , and of the arch AH , which is the excefs of the fides BC , BA : let GL likewise be drawn parallel to KH , and let it meet FH in L , let CL , DH be joined , and let AD , FH meet each other in M ...
... excefs of the verfed fines of the bafe AC , and of the arch AH , which is the excefs of the fides BC , BA : let GL likewise be drawn parallel to KH , and let it meet FH in L , let CL , DH be joined , and let AD , FH meet each other in M ...
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Términos y frases comunes
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