The Elements of Euclid |
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Página 48
Fa ftraight line be bifected , and produced to any point ; the rectangle contained by the whole line thus produced , and the part of it produced , together with the fquare of half of the line bifected , is equal to the square of the ...
Fa ftraight line be bifected , and produced to any point ; the rectangle contained by the whole line thus produced , and the part of it produced , together with the fquare of half of the line bifected , is equal to the square of the ...
Página 52
Let the ftraight line AB be bifected in C , and produced to the point D ; the fquares of AD , DB are double of the fquares of AC , CD . From the point C draw a CE at right angles to AB , and make it equal to AC or CB , and join AE ...
Let the ftraight line AB be bifected in C , and produced to the point D ; the fquares of AD , DB are double of the fquares of AC , CD . From the point C draw a CE at right angles to AB , and make it equal to AC or CB , and join AE ...
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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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 |