The Elements of Euclid |
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Página 50
And it was demonftrated that the four CK , BN , GR , RN are quadruple of CK . therefore the eight rectangles which contain the gnomon AOH , are quadruple of AK . and because AK is the rectangle contained by AB , BC , for BK is equal to ...
And it was demonftrated that the four CK , BN , GR , RN are quadruple of CK . therefore the eight rectangles which contain the gnomon AOH , are quadruple of AK . and because AK is the rectangle contained by AB , BC , for BK is equal to ...
Página 113
Invertendo , by Inverfion ; when there are four proportionals , and it is inferred , that the second is to the firft , as the fourth to the third . Prop . B. Book 5th XV . Componendo , by Compofition ; when there are four proportionals ...
Invertendo , by Inverfion ; when there are four proportionals , and it is inferred , that the second is to the firft , as the fourth to the third . Prop . B. Book 5th XV . Componendo , by Compofition ; when there are four proportionals ...
Página 463
as the fquare of the straight lines BC , CD taken together is to the square of BD , which ratio is the next thing said to be given in the Analyfis . and because four times the fquare ...
as the fquare of the straight lines BC , CD taken together is to the square of BD , which ratio is the next thing said to be given in the Analyfis . and because four times the fquare ...
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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 |