The Elements of Euclid, Libros 1-6;Libro 11 |
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Página 136
In proportionals , the antecedent terms are said to be homologous to one another ; as also the consequents to one another . Geometers make use of the following technical words , to signify certain ways of changing either the order or ...
In proportionals , the antecedent terms are said to be homologous to one another ; as also the consequents to one another . Geometers make use of the following technical words , to signify certain ways of changing either the order or ...
Página 203
Wherefore , universally , if three straight lines be proportionals , as the first is to the third , so is any rectilineal figure described on the first to a similar and similarly described rectilineal figure on the second .
Wherefore , universally , if three straight lines be proportionals , as the first is to the third , so is any rectilineal figure described on the first to a similar and similarly described rectilineal figure on the second .
Página 204
I four straight lines be proportionals , the similar rectilineal figures similarly described on them shall also be ... Let the four straight lines AB , CD , EF , GH be proportionals , namely , AB to CD as EF is to GH ; and on AB ...
I four straight lines be proportionals , the similar rectilineal figures similarly described on them shall also be ... Let the four straight lines AB , CD , EF , GH be proportionals , namely , AB to CD as EF is to GH ; and on AB ...
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ABCD angle ABC angle ACB angle BAC Axiom base BC is equal bisected Book centre circle circle ABC circumference common Construction contained Corollary Definition demonstration described diameter divided double draw drawn edition Elements equal equal angles equiangular equilateral equimultiples Euclid exterior angle extremities fall figure four fourth given straight line greater half Hypothesis impossible join less Let ABC magnitudes manner meet multiple namely parallel parallelogram pass perpendicular plane polygon PROBLEM produced proportionals Q.E.D. PROPOSITION ratio reason rectangle rectangle contained rectilineal figure right angles segment shewn sides similar Simson solid square straight line &c suppose Take taken THEOREM third touches the circle triangle ABC Wherefore whole