The Elements of Euclid |
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Página 272
Def.1 , ther . therefore the line ' GH is the circumference of a circle of which the center is the point K. therefore the plane GH divides the cylinder AD into the cylinders AH , GD ; for they are the fame which would be defcribed by ...
Def.1 , ther . therefore the line ' GH is the circumference of a circle of which the center is the point K. therefore the plane GH divides the cylinder AD into the cylinders AH , GD ; for they are the fame which would be defcribed by ...
Página 273
KF and cylinder GD , any equimultiples whatever , viz . the axis Book XII . KM and cylinder GQ ; and it has been demonftrated if the axis KL be greater than the axis KM , the cylinder PG is greater than the cylinder GQ ; and if equal ...
KF and cylinder GD , any equimultiples whatever , viz . the axis Book XII . KM and cylinder GQ ; and it has been demonftrated if the axis KL be greater than the axis KM , the cylinder PG is greater than the cylinder GQ ; and if equal ...
Página 274
Firft , let them be equal ; and the cylinders AX , EO being alfo equal , and cones and cylinders of the fame alti- * . ... and , thro ' the point P , cut E G the cylinder EO by K M the plane TYS paral- B F lel to the oppofite planes of ...
Firft , let them be equal ; and the cylinders AX , EO being alfo equal , and cones and cylinders of the fame alti- * . ... and , thro ' the point P , cut E G the cylinder EO by K M the plane TYS paral- B F lel to the oppofite planes of ...
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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