The Elements of Euclid |
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Página 152
F the outward angle of a triangle made by producing one of its fides , be divided into two equal angles , by a ftraight line which alfo cuts the bafe produced ; the fegments between the dividing line and the extre- mities of the bafe ...
F the outward angle of a triangle made by producing one of its fides , be divided into two equal angles , by a ftraight line which alfo cuts the bafe produced ; the fegments between the dividing line and the extre- mities of the bafe ...
Página 344
B. 1. that triangles which are equi- lateral to one another are alfo equiangular to one another ; and from this their total equality appears by Prop . 4. B. 1. and Mene- laus , in the 4. Prop . of his 1.
B. 1. that triangles which are equi- lateral to one another are alfo equiangular to one another ; and from this their total equality appears by Prop . 4. B. 1. and Mene- laus , in the 4. Prop . of his 1.
Página 426
Dat . of EB to BC is given . alfo the ratio of CB to BD is given , be- cause the ratio of BD to DC is given ; therefore the ratio of EB to e . 9. Dat . BD is given . and the angle EBC is given , wherefore the triangle EBD is given in ...
Dat . of EB to BC is given . alfo the ratio of CB to BD is given , be- cause the ratio of BD to DC is given ; therefore the ratio of EB to e . 9. Dat . BD is given . and the angle EBC is given , wherefore the triangle EBD is given in ...
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Términos y frases comunes
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 |