The Elements of Euclid |
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Página 168
A as AB to DE , fo is EF to BG . where- fore the fides of the triangles ABG , DEF which are about the e- qual angles are reciprocally proportional . but triangles which have the fides about two equal angles reciprocally proportional are ...
A as AB to DE , fo is EF to BG . where- fore the fides of the triangles ABG , DEF which are about the e- qual angles are reciprocally proportional . but triangles which have the fides about two equal angles reciprocally proportional are ...
Página 264
... for it is contained within the cylinder ; which is impoffible . there- fore the cylinder is not lefs than the triple of the cone . and it has been demonftrated that neither is it greater than the triple . there- fore the cylinder is ...
... for it is contained within the cylinder ; which is impoffible . there- fore the cylinder is not lefs than the triple of the cone . and it has been demonftrated that neither is it greater than the triple . there- fore the cylinder is ...
Página 275
EO is cut by the plane TYS parallel to its oppofite planes . there- Book XII . fore as the bafe ABCD to the base EFGH , so is the altitude MN to the altitude MP . but MP is equal to the altitude KL ; where- fore as the bafe ABCD to the ...
EO is cut by the plane TYS parallel to its oppofite planes . there- Book XII . fore as the bafe ABCD to the base EFGH , so is the altitude MN to the altitude MP . but MP is equal to the altitude KL ; where- fore as the bafe ABCD to the ...
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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 |