The Elements of Euclid |
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Página 9
and AC to DF ; and the an- gle BAC equal to the angle EDF . the bafe BC fhall be e- equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal fides are oppofite , fhall be equal ...
and AC to DF ; and the an- gle BAC equal to the angle EDF . the bafe BC fhall be e- equal to the base EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal fides are oppofite , fhall be equal ...
Página 137
137 Let A , B , C be three magnitudes , and D , E , F other three , Book V. which taken two and two have the fame ratio , viz . as A is to B , fo is D to E ; and as B to C , fo is E to F. If A be greater than C , D fhall be greater than ...
137 Let A , B , C be three magnitudes , and D , E , F other three , Book V. which taken two and two have the fame ratio , viz . as A is to B , fo is D to E ; and as B to C , fo is E to F. If A be greater than C , D fhall be greater than ...
Página 138
Let A , B , C be three magnitudes , and D , E , F other three , which have the fame ratio taken two and two , but in a cross order , viz . as A is to B , fo is E to F , and as B is to C , fo is D to E. If A be greater than C , D fhall ...
Let A , B , C be three magnitudes , and D , E , F other three , which have the fame ratio taken two and two , but in a cross order , viz . as A is to B , fo is E to F , and as B is to C , fo is D to E. If A be greater than C , D fhall ...
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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