The Elements of Euclid |
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Página 336
If befides , it be required that A and B together shall not be less than C and D together ; the excefs of A and B toge- ther above C muft not be less than D , that is D must not be greater than that excefs . PROP . II . PROBLEM .
If befides , it be required that A and B together shall not be less than C and D together ; the excefs of A and B toge- ther above C muft not be less than D , that is D must not be greater than that excefs . PROP . II . PROBLEM .
Página 377
... and alfo let KD the excefs of the fame CD above the given magnitude CK have a given ratio to EF . either AB has a given ratio to EF , or the excefs of one of them above a given . magnitude has a given ratio to the other .
... and alfo let KD the excefs of the fame CD above the given magnitude CK have a given ratio to EF . either AB has a given ratio to EF , or the excefs of one of them above a given . magnitude has a given ratio to the other .
Página 418
LXXIV . a triangle has a given obtufe angle ; the excefs of the fquare of the fide which fubtends the obtuse an- gle above the fquares of the fides which contain it , fhall have a given ratio to the triangle . Let the triangle ABC have ...
LXXIV . a triangle has a given obtufe angle ; the excefs of the fquare of the fide which fubtends the obtuse an- gle above the fquares of the fides which contain it , fhall have a given ratio to the triangle . Let the triangle ABC have ...
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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 |