The Elements of Euclid |
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Página 113
In proportionals , the antecedent terins are called homologous to one another , as alfo the confequents to one another . ' Geometers make ufe of the following technical words to fignify ' certain ways of changing either the order or ...
In proportionals , the antecedent terins are called homologous to one another , as alfo the confequents to one another . ' Geometers make ufe of the following technical words to fignify ' certain ways of changing either the order or ...
Página 164
F four ftraight lines be proportionals , the rectangle contained by the extremes is equal to the rectangle contained by the ... Let the four straight lines AB , CD , E , F be proportionals , viz . as AB to CD , fo E to F ; the rectangle ...
F four ftraight lines be proportionals , the rectangle contained by the extremes is equal to the rectangle contained by the ... Let the four straight lines AB , CD , E , F be proportionals , viz . as AB to CD , fo E to F ; the rectangle ...
Página 171
Because A is fimilar to C , they are equiangular , and alfo have their fides about the equal angles proportionals . Again , becaufe a . 1. Def . 6 , B is fimilar to C , they are equiangular , and have C their fides about the e- qual ...
Because A is fimilar to C , they are equiangular , and alfo have their fides about the equal angles proportionals . Again , becaufe a . 1. Def . 6 , B is fimilar to C , they are equiangular , and have C their fides about the e- qual ...
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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