The Elements of Euclid |
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Página 81
3 . circle of which ABC is a fegment is described . and it is evident that if the angle ABD be greater than the angle BAD , the center E falls without the fegment ABC , which therefore is less than a femicircle . but if the angle ABD be ...
3 . circle of which ABC is a fegment is described . and it is evident that if the angle ABD be greater than the angle BAD , the center E falls without the fegment ABC , which therefore is less than a femicircle . but if the angle ABD be ...
Página 88
PRO B. O cut off a fegment from a given circle which fhall contain an angle equal to a given rectilineal angle . Let ABC be the given circle , and D the given rectilineal an- gle ; it is required to cut off a fegment from the circle ABC ...
PRO B. O cut off a fegment from a given circle which fhall contain an angle equal to a given rectilineal angle . Let ABC be the given circle , and D the given rectilineal an- gle ; it is required to cut off a fegment from the circle ABC ...
Página 449
P. I F a ftraight line be drawn within a circle given in magnitude cutting off a fegment containing a given angle ; if the angle adjacent to the angle in the fegment be bifected by a ftraight line produced till it meet the circumference ...
P. I F a ftraight line be drawn within a circle given in magnitude cutting off a fegment containing a given angle ; if the angle adjacent to the angle in the fegment be bifected by a ftraight line produced till it meet the circumference ...
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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