The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 234
... altitude of the folid CD to the altitude of the folid AB ; the folid AB is equal to the folid CD . the fame conftruction being made ; because as the bafe EH to the base NP , fo is the altitude of the folid CD to the altitude of the ...
... altitude of the folid CD to the altitude of the folid AB ; the folid AB is equal to the folid CD . the fame conftruction being made ; because as the bafe EH to the base NP , fo is the altitude of the folid CD to the altitude of the ...
Página 260
... altitudes of the pyramids ABCG , DEFH are reciprocally proportional , viz . the bafe ABC is to the bafe DEF , as the altitude of the pyramid DEFH to the altitude of the pyramid ABCG . Complete the parallelograms AC , AG , GC , DF , DH ...
... altitudes of the pyramids ABCG , DEFH are reciprocally proportional , viz . the bafe ABC is to the bafe DEF , as the altitude of the pyramid DEFH to the altitude of the pyramid ABCG . Complete the parallelograms AC , AG , GC , DF , DH ...
Página 275
... altitude MN to the altitude MP . but MP is equal to the altitude KL ; where- fore as the bafe ABCD to the base EFGH , fo is the altitude MN to the altitude KL ; that is , the bases and altitudes of the equal cylinders AX , EO are ...
... altitude MN to the altitude MP . but MP is equal to the altitude KL ; where- fore as the bafe ABCD to the base EFGH , fo is the altitude MN to the altitude KL ; that is , the bases and altitudes of the equal cylinders AX , EO are ...
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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