The Elements of Euclid |
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Página 71
than one point . for , if it be poffible , let the circle ACK touch the Book III . circle ABC in the points A , C , and join AC . therefore because the two points A , C are in the circumference of the circle ACK , the ftraight line AC ...
than one point . for , if it be poffible , let the circle ACK touch the Book III . circle ABC in the points A , C , and join AC . therefore because the two points A , C are in the circumference of the circle ACK , the ftraight line AC ...
Página 95
A circle is faid to be defcribed about a recti- lineal figure , when the circumference of the circle paffes thro ' all the angular points of the figure about which it is described . VII . о A ftraight line is faid to be placed in a ...
A circle is faid to be defcribed about a recti- lineal figure , when the circumference of the circle paffes thro ' all the angular points of the figure about which it is described . VII . о A ftraight line is faid to be placed in a ...
Página 248
5 . is to the space S. therefore as the circle ABCD is to the space S , fo is the polygon AXBOCPDR to the polygon EKFLGMHN . but the circle ABCD is greater than the polygon contained in it ; where- d . 4. 5. fore the space S is greater ...
5 . is to the space S. therefore as the circle ABCD is to the space S , fo is the polygon AXBOCPDR to the polygon EKFLGMHN . but the circle ABCD is greater than the polygon contained in it ; where- d . 4. 5. fore the space S is greater ...
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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