The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 168
... fore the fides of the triangles ABG , DEF which are about the e- qual angles are reciprocally proportional . but triangles which have the fides about two equal angles reciprocally proportional are equal to one another e , there- fore ...
... fore the fides of the triangles ABG , DEF which are about the e- qual angles are reciprocally proportional . but triangles which have the fides about two equal angles reciprocally proportional are equal to one another e , there- fore ...
Página 264
... fore the cylinder is not lefs than the triple of the cone . and it has been demonstrated that neither is it greater than the triple . there- fore the cylinder is triple of the cone , or , the cone is the third part of the cylinder ...
... fore the cylinder is not lefs than the triple of the cone . and it has been demonstrated that neither is it greater than the triple . there- fore the cylinder is triple of the cone , or , the cone is the third part of the cylinder ...
Página 275
... fore as the bafe ABCD to the base EFGH , fo is the 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 ...
... fore as the bafe ABCD to the base EFGH , fo is the 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 ...
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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