The Elements of Euclid |
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Página 26
Let the straight line EF which falls upon the two straight lines AB , CD make the alternate angles AEF , EFD equal to one ano- ther ; AB is parallel to CD . a E / B For if it be not parallel , AB and CD being produced shall meet either ...
Let the straight line EF which falls upon the two straight lines AB , CD make the alternate angles AEF , EFD equal to one ano- ther ; AB is parallel to CD . a E / B For if it be not parallel , AB and CD being produced shall meet either ...
Página 201
F two ftraight lines meeting one another , be parallel see N. to two ftraight lines which meet one another , but are ... are not in the fame plane with AB , BC . the planes through AB , BC , and DE , EF fhall not meet though produced .
F two ftraight lines meeting one another , be parallel see N. to two ftraight lines which meet one another , but are ... are not in the fame plane with AB , BC . the planes through AB , BC , and DE , EF fhall not meet though produced .
Página 202
Κ F H B D For , if it is not , EF , GH fhall meet , if produced , either on the fide of FH , or EG . first , let them be produced on the fide of FH , and meet in the point K. therefore fince EFK is in the plane AB , every point in EFK ...
Κ F H B D For , if it is not , EF , GH fhall meet , if produced , either on the fide of FH , or EG . first , let them be produced on the fide of FH , and meet in the point K. therefore fince EFK is in the plane AB , every point in EFK ...
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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 |