The Elements of Euclid |
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Página 85
Na circle , the angle in a semicircle is a right angle ; IN but the angle in a segment greater than a femicircle is less than a right angle ; and the angle in a segment less than a femicircle is greater than a right angle .
Na circle , the angle in a semicircle is a right angle ; IN but the angle in a segment greater than a femicircle is less than a right angle ; and the angle in a segment less than a femicircle is greater than a right angle .
Página 194
A Book XI . ftraight line ; let this be BF . therefore the three ftraight lines AB , BC , BF are all in one plane , viz . that which paffes thro ' AB , BC . and because AB ftands at right angles to each of the straight lines BD ...
A Book XI . ftraight line ; let this be BF . therefore the three ftraight lines AB , BC , BF are all in one plane , viz . that which paffes thro ' AB , BC . and because AB ftands at right angles to each of the straight lines BD ...
Página 196
Let AB , CD be two parallel straight lines , and let one of them AB be at right angles to a plane ; the other CD is at right angles to the fame plane . Let AB , CD , meet the plane in the points B , D , and join BD . therefore AB ...
Let AB , CD be two parallel straight lines , and let one of them AB be at right angles to a plane ; the other CD is at right angles to the fame plane . Let AB , CD , meet the plane in the points B , D , and join BD . therefore AB ...
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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