The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Seite 25
Let the straight line EF fall upon the two parallel straight lines A B , CD . The two alternate angles AG H , GHD are equal to one another . The exterior angle E G B is equal to the interior and opposite angle G HD upon the same side of ...
Let the straight line EF fall upon the two parallel straight lines A B , CD . The two alternate angles AG H , GHD are equal to one another . The exterior angle E G B is equal to the interior and opposite angle G HD upon the same side of ...
Seite 133
To divide a given straight line similarly to a given divided straight line , that is , into parts proportional to the parts of the given divided straight line . Let A B be the given straight line to be divided , and A C the given ...
To divide a given straight line similarly to a given divided straight line , that is , into parts proportional to the parts of the given divided straight line . Let A B be the given straight line to be divided , and A C the given ...
Seite 136
E- First , let the four straight lines A B , C D , E , and F be proportionals , viz . , A B to C D , as E to F. The rectangle contained by A B and F , is equal to the rectangle contained by CD and E. From the points A and C draw A G aud ...
E- First , let the four straight lines A B , C D , E , and F be proportionals , viz . , A B to C D , as E to F. The rectangle contained by A B and F , is equal to the rectangle contained by CD and E. From the points A and C draw A G aud ...
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A B C ABCD altitude applied base bisected Book Cassell's centre circle circumference cloth coincide common cone Const contained Corollary cylinder definition demonstration described diagonal diameter divided double draw Edition equal equal angles equiangular equimultiples Exercise extremities fore four fourth given straight line greater half Illustrated inscribed interior join less magnitudes manner meet multiple parallel parallelogram parallelopiped pass perpendicular plane polygon prism PROBLEM produced PROP proportionals proposition proved pyramid ratio reason rectangle rectangle contained rectilineal figure remaining angle right angles segment shown sides similar solid solid angle sphere square straight lines A B taken THEOREM third touch triangle triangle ABC twice vertex Vols Wherefore whole