The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 45
... divided into any two parts , the fquare of the whole line is equal to the fquares of the two parts , together with twice the rectangle con- tained by the parts . Let the straight line AB be divided into any two parts in C ; the fquare ...
... divided into any two parts , the fquare of the whole line is equal to the fquares of the two parts , together with twice the rectangle con- tained by the parts . Let the straight line AB be divided into any two parts in C ; the fquare ...
Página 159
... divided straight line , that is , into parts that shall have the fame ratios to one another which the parts of the divided given straight line have . Let AB be the straight line given to be divided , and AC the di- vided line ; it is ...
... divided straight line , that is , into parts that shall have the fame ratios to one another which the parts of the divided given straight line have . Let AB be the straight line given to be divided , and AC the di- vided line ; it is ...
Página 252
... divided into two equal pyramids fimilar to the whole pyramid , and alfo into two equal prifms ; and if each of these pyra- mids be divided in the fame manner as the first two , and so on . as the bafe of one of the firft two pyramids is ...
... divided into two equal pyramids fimilar to the whole pyramid , and alfo into two equal prifms ; and if each of these pyra- mids be divided in the fame manner as the first two , and so on . as the bafe of one of the firft two pyramids is ...
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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