The Elements of Euclid |
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Página 174
O defcribe a rectilineal figure which fhall be fimi- lar to one , and equal to another given rectilineal figure . Let ABC be the given rectilineal figure , to which the figure to be defcribed is required to be fimilar , and D that to ...
O defcribe a rectilineal figure which fhall be fimi- lar to one , and equal to another given rectilineal figure . Let ABC be the given rectilineal figure , to which the figure to be defcribed is required to be fimilar , and D that to ...
Página 402
Dat . rectilineal figures AG , F are defcribed upon the straight lines AB , CD which have a given ratio , find their ratio by the 54. Dat . and make the ratio of K to L the fame . the figure E has to F the fame ratio which H has to L.
Dat . rectilineal figures AG , F are defcribed upon the straight lines AB , CD which have a given ratio , find their ratio by the 54. Dat . and make the ratio of K to L the fame . the figure E has to F the fame ratio which H has to L.
Página 415
IF F two ftraight lines have a given ratio to one another , See N. and upon one of them be defcribed a rectilineal figure given in fpecies , and upon the other a parallelogram hav- ing a given angle ; if the figure have a given ratio to ...
IF F two ftraight lines have a given ratio to one another , See N. and upon one of them be defcribed a rectilineal figure given in fpecies , and upon the other a parallelogram hav- ing a given angle ; if the figure have a given ratio to ...
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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