The Elements of Euclid |
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Now thi Propofition is a Theorem , not a Definition , because the equality of figures of any kind must be demonftrated , and not affumed . and therefore , tho ' this were a true Propofition , it ought to have bee demonftrated .
Now thi Propofition is a Theorem , not a Definition , because the equality of figures of any kind must be demonftrated , and not affumed . and therefore , tho ' this were a true Propofition , it ought to have bee demonftrated .
Página 308
B. V. There are two cafes of this Propofition , of which only the first and fimpleft is demonstrated in the Greek . and it is probable Theon thought it was fufficient to give this one , fince he was to make use of neither of them in his ...
B. V. There are two cafes of this Propofition , of which only the first and fimpleft is demonstrated in the Greek . and it is probable Theon thought it was fufficient to give this one , fince he was to make use of neither of them in his ...
Página 316
Therefore the Axiom , [ i . e . the Propofition before fet down , ] " remains demonftrated , " & c . Not in the leaft ; but it remains ftill undemonftrated . for what he fays may happen , may in innumerable cafes never happen ...
Therefore the Axiom , [ i . e . the Propofition before fet down , ] " remains demonftrated , " & c . Not in the leaft ; but it remains ftill undemonftrated . for what he fays may happen , may in innumerable cafes never happen ...
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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
Información bibliográfica
| Título | The Elements of Euclid |
| Autor | Euclid |
| Editor | Robert Simson |
| Editor | A. Foulis, 1838 |
| Procedencia del original | de la Universidad de Virginia |
| Digitalizado | 6 Oct. 2010 |
| Largo | 466 páginas |
| Exportar cita | BiBTeX EndNote RefMan |