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 84
PRO B. To bifect a given circumference , that is , to divide it it . into two equal parts . ... DB . the circumference ADB is bifected in the point D. Because AC is equal to CB , and CD common to the triangles ACD , BCD , the two ...
PRO B. To bifect a given circumference , that is , to divide it it . into two equal parts . ... DB . the circumference ADB is bifected in the point D. Because AC is equal to CB , and CD common to the triangles ACD , BCD , the two ...
Página 1
Let the angles BAC , ABC be bifected by the straight lines AG , BG ; and , producing the fide AB , let the exterior angle CBH be bifected by the straight line BK , meeting AG in K ; and from the points G , K , let there be drawn ...
Let the angles BAC , ABC be bifected by the straight lines AG , BG ; and , producing the fide AB , let the exterior angle CBH be bifected by the straight line BK , meeting AG in K ; and from the points G , K , let there be drawn ...
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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