The Elements of Euclid |
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Resultat 1-3 av 80
Side 113
In proportionals , the antecedent terins are called homologous to one another ; as
also the consequents to one another . Geometers make ufe of the following
technical words to signify certain ways of changing either the order or magnitude
of ...
In proportionals , the antecedent terins are called homologous to one another ; as
also the consequents to one another . Geometers make ufe of the following
technical words to signify certain ways of changing either the order or magnitude
of ...
Side 171
C Let each of the rectilineal figures A , B be similar to the rectie lineal figure C .
the figure A is similar to the figure B . Because A is similar to C , they are
equiangular , and also have their sides about the equal angles proportionals " .
C Let each of the rectilineal figures A , B be similar to the rectie lineal figure C .
the figure A is similar to the figure B . Because A is similar to C , they are
equiangular , and also have their sides about the equal angles proportionals " .
Side 239
TF four straight lines be proportionals , the similar folid See N . . parallelepipeds
similarly described from them shall also be proportionals . and if the similar
parallelepipeds fimilarly described from four straight lines be proportionals , the ...
TF four straight lines be proportionals , the similar folid See N . . parallelepipeds
similarly described from them shall also be proportionals . and if the similar
parallelepipeds fimilarly described from four straight lines be proportionals , the ...
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added alſo altitude angle ABC angle BAC baſe becauſe Book caſe circle circle ABCD circumference common cone cylinder Definition demonſtrated deſcribed diameter divided double draw drawn equal equal angles equiangular equimultiples exceſs fame fides firſt folid fore four fourth given angle given in poſition given in ſpecies given magnitude given ratio given ſtraight line greater Greek half join leſs likewiſe magnitude manner meet multiple muſt oppoſite parallel parallelogram perpendicular plane produced PROP proportionals Propoſition pyramid reaſon rectangle remaining right angles ſame ſecond ſegment ſhall ſhewn ſides ſimilar ſolid angle ſphere ſquare ſquare of AC taken theſe third thro triangle ABC wherefore whole