The Elements of Euclid |
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Página 169
... the fame reafon the trian- gle ECD like- wife is fimilar to the triangle LHK . therefore the fimilar poly- gons ABCDE , FGHKL are di- D A M F B L G K H vided into the fame number of fimilar triangles.` Also these triangles have ...
... the fame reafon the trian- gle ECD like- wife is fimilar to the triangle LHK . therefore the fimilar poly- gons ABCDE , FGHKL are di- D A M F B L G K H vided into the fame number of fimilar triangles.` Also these triangles have ...
Página 228
... because the angle AEG is equal to CFN , by reafon that the folids AB , CD are fimilar ; therefore the parallelogram KL is fimilar and equal to the parallelogram CN . for the fame reafon , the parallelogram MK is fimilar and equal to ...
... because the angle AEG is equal to CFN , by reafon that the folids AB , CD are fimilar ; therefore the parallelogram KL is fimilar and equal to the parallelogram CN . for the fame reafon , the parallelogram MK is fimilar and equal to ...
Página 250
C. 11 . с D Book XII . equal to the base KD , and the triangle AEH equal and fimilar to the triangle HKD . for the fame reafon , the triangle AGH is equal and fimilar to the triangle HLD . and because the two straight lines EH ...
C. 11 . с D Book XII . equal to the base KD , and the triangle AEH equal and fimilar to the triangle HKD . for the fame reafon , the triangle AGH is equal and fimilar to the triangle HLD . and because the two straight lines EH ...
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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