The Elements of Euclid |
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Página 13
therefore BC coinciding with EF , BA and AC fhall coincide with ED Book I. and DF . for if the bafe BC coincides with the base EF , but the fides BA , CA do not coincide with the fides ED , FD , but have a different fituation , as EG ...
therefore BC coinciding with EF , BA and AC fhall coincide with ED Book I. and DF . for if the bafe BC coincides with the base EF , but the fides BA , CA do not coincide with the fides ED , FD , but have a different fituation , as EG ...
Página 20
ANY two fides of a triangle are together greater than the third fide . Let ABC be a triangle ; any two fides of it together are great- er than the third fide , viz . the fides BA , AC greater than the fle BC ; and AB , BC greater than ...
ANY two fides of a triangle are together greater than the third fide . Let ABC be a triangle ; any two fides of it together are great- er than the third fide , viz . the fides BA , AC greater than the fle BC ; and AB , BC greater than ...
Página 23
Of the two fides DE , DF let DE be the fide which is not greater than the other , and at the point D in the straight line DE make the angle EDG equal to the angle BAC ; and make DG a . 13. 1 . equal to AC or DF , and join EG , GF .
Of the two fides DE , DF let DE be the fide which is not greater than the other , and at the point D in the straight line DE make the angle EDG equal to the angle BAC ; and make DG a . 13. 1 . equal to AC or DF , and join EG , GF .
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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 |