The Elements of Euclid |
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Página 28
STRAIGHT lines which are parallel to the fame ftraight line , are parallel to one another . Let AB , CD be each of them parallel to ... Let the ftraight line GHK cut AB , EF , CD ; and because GHK cuts the parallel ftraight lines AB ,.
STRAIGHT lines which are parallel to the fame ftraight line , are parallel to one another . Let AB , CD be each of them parallel to ... Let the ftraight line GHK cut AB , EF , CD ; and because GHK cuts the parallel ftraight lines AB ,.
Página 381
F a straight line be drawn to a given point in a gi- ven straight line , and makes a given angle with it . that ... Let AB be a straight line given in pofition , and C a given point 29 . in it , the ftraight line drawn to C which makes ...
F a straight line be drawn to a given point in a gi- ven straight line , and makes a given angle with it . that ... Let AB be a straight line given in pofition , and C a given point 29 . in it , the ftraight line drawn to C which makes ...
Página 417
F four ftraight lines be proportionals ; as the firft is to the ftraight line to which the fecond has a given ratio ; fo is the third to the ftraight line to which the fourth has a given ratio . Let A , B , C , D be four proportional ...
F four ftraight lines be proportionals ; as the firft is to the ftraight line to which the fecond has a given ratio ; fo is the third to the ftraight line to which the fourth has a given ratio . Let A , B , C , D be four proportional ...
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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