The Elements of Euclid |
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Página 341
B. XI . The words " and the triangle AED to the triangle BEC " are omitted , because the whole conclufion of the 4. Prop . B. 1. has been fo often repeated in the preceding Books , it was needlefs to repeat it here . PROP . V. B. XI .
B. XI . The words " and the triangle AED to the triangle BEC " are omitted , because the whole conclufion of the 4. Prop . B. 1. has been fo often repeated in the preceding Books , it was needlefs to repeat it here . PROP . V. B. XI .
Página 343
C greater than either of those at E , H. " which words manifeftly Book XI . fhew this place to be vitiated , because the angle at B may be equal to one of the other two . they ought therefore to be read thus , " but " if not , let the ...
C greater than either of those at E , H. " which words manifeftly Book XI . fhew this place to be vitiated , because the angle at B may be equal to one of the other two . they ought therefore to be read thus , " but " if not , let the ...
Página 347
except when the Demonftration is not given , or when it is fome- Book XI . thing different from the other , if it be given , as in Prop . 26. of A this Book . Campanus has not this repetition . We have given another Demonftration of the ...
except when the Demonftration is not given , or when it is fome- Book XI . thing different from the other , if it be given , as in Prop . 26. of A this Book . Campanus has not this repetition . We have given another Demonftration of the ...
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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