The Elements of Euclid |
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Página 112
Book V. See N. than that of the fecond , the multiple of the third is alfo greater than that of the fourth . VI . Magnitudes which have the fame ratio are called proportionals . N. B. When four magnitudes are proportionals , it is ...
Book V. See N. than that of the fecond , the multiple of the third is alfo greater than that of the fourth . VI . Magnitudes which have the fame ratio are called proportionals . N. B. When four magnitudes are proportionals , it is ...
Página 113
... the first has the fame ratio to the third , which the fe- cond has to the fourth ; or that the firft is to the third , as the second to the fourth . as is fhewn in the 16th Prop . of this 5th Book . XIV .
... the first has the fame ratio to the third , which the fe- cond has to the fourth ; or that the firft is to the third , as the second to the fourth . as is fhewn in the 16th Prop . of this 5th Book . XIV .
Página 141
Book V. F the firft has to the fecond the fame ratio which the See N. third has to the fourth ; and the fifth to the second the fame ratio which the fixth has to the fourth ; the first and fifth ...
Book V. F the firft has to the fecond the fame ratio which the See N. third has to the fourth ; and the fifth to the second the fame ratio which the fixth has to the fourth ; the first and fifth ...
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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