The Elements of Euclid |
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Página 173
Let BC , CG be placed in a straight line , therefore DC and CE Book VI . are alfo in a straight line ; and complete the parallelogram DG , and , taking any straight line K , make b as BC to CG , so K to L ; a . 14.
Let BC , CG be placed in a straight line , therefore DC and CE Book VI . are alfo in a straight line ; and complete the parallelogram DG , and , taking any straight line K , make b as BC to CG , so K to L ; a . 14.
Página 178
PRO B. a given ftraight line to a apply parallelogram equal to a given rectilineal figure , and deficient by a parallelogram fimilar to a given parallelogram . but the given rectilineal figure to which the parallelogram to be applied is ...
PRO B. a given ftraight line to a apply parallelogram equal to a given rectilineal figure , and deficient by a parallelogram fimilar to a given parallelogram . but the given rectilineal figure to which the parallelogram to be applied is ...
Página 434
If a parallelogram given in fpecies be applied to a given ftraight line , exceeding by a parallelogram equal to a given space ; the fides of the parallelogram are given . a Let the parallelogram ADCE given in fpecies be applied to the ...
If a parallelogram given in fpecies be applied to a given ftraight line , exceeding by a parallelogram equal to a given space ; the fides of the parallelogram are given . a Let the parallelogram ADCE given in fpecies be applied 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