The Elements of Euclid |
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Página 215
B. 11 . at K. in the fame manner , the other folid angles of the figures are equal to one another . If then the folid figure AG be applied to the folid figure KQ , first , the plane figure ...
B. 11 . at K. in the fame manner , the other folid angles of the figures are equal to one another . If then the folid figure AG be applied to the folid figure KQ , first , the plane figure ...
Página 321
Clavius in hist Obfervations upon it , rightly judges that the Definition of Com- pound ratio might have been made after the fame manner in which the Definitions of Duplicate and Triplicate ratio are given , viz .
Clavius in hist Obfervations upon it , rightly judges that the Definition of Com- pound ratio might have been made after the fame manner in which the Definitions of Duplicate and Triplicate ratio are given , viz .
Página 351
12 . of that which EB has to the homologous fide LG . and , in the fame manner , the pyramid EBCM has to the pyramid LGHN the tri- plicate ratio of that which EB has to LG . therefore as the pyramid EABM is to the pyramid LFGN , fo is ...
12 . of that which EB has to the homologous fide LG . and , in the fame manner , the pyramid EBCM has to the pyramid LGHN the tri- plicate ratio of that which EB has to LG . therefore as the pyramid EABM is to the pyramid LFGN , fo is ...
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added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe bifected Book Book XI circle circle ABCD circumference common cone cylinder defcribed Definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples excefs fame fame multiple fecond fegment fhall fhewn fides fimilar firft firſt folid folid angle fore four fourth fquare fquare of BC ftraight line given angle given ftraight line given in fpecies given in pofition given magnitude given ratio greater Greek half join lefs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP Propofition proportionals pyramid reafon rectangle remaining right angles ſphere taken THEOR theſe third thro triangle ABC wherefore whole