The Elements of Geometry: Or, The First Six Books, with the Eleventh and Twelfth, of Euclid |
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Σελίδα 23
And BC is equal ( Hyp . ) to E F. Therefore the two sides A B , BC are equal to the two sides DE , EF , each to each . And the angle ABC is equal ( Hyp . ) to the angle DEF . Therefore the base AC is equal ( I. 4 ) to the base DF ...
And BC is equal ( Hyp . ) to E F. Therefore the two sides A B , BC are equal to the two sides DE , EF , each to each . And the angle ABC is equal ( Hyp . ) to the angle DEF . Therefore the base AC is equal ( I. 4 ) to the base DF ...
Σελίδα 73
EHF at their centres , and BAC and EDF at their circumferences , be equal to each other . The arc BKC is equal to the arc ELF . Join BC and EF . B K Because the circles A B C and DEF are equal , the straight lines drawn from their ...
EHF at their centres , and BAC and EDF at their circumferences , be equal to each other . The arc BKC is equal to the arc ELF . Join BC and EF . B K Because the circles A B C and DEF are equal , the straight lines drawn from their ...
Σελίδα 74
In equal circles , equal straight lines cut off equal arcs , the greater equal to the greater , and the less to the less . Let A B C and D E F be equal circles , and B C and E F equal straight lines in them , which cut off the two ...
In equal circles , equal straight lines cut off equal arcs , the greater equal to the greater , and the less to the less . Let A B C and D E F be equal circles , and B C and E F equal straight lines in them , which cut off the two ...
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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