The Elements of Euclid |
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Página 75
is required to draw a straight line from A which fhall touch the Book III . circle . a Find the center E of the circle , and join AE ; and from the a . 1. 3 . center E , at the distance EA defcribe the circle AFG ; from the point D draw ...
is required to draw a straight line from A which fhall touch the Book III . circle . a Find the center E of the circle , and join AE ; and from the a . 1. 3 . center E , at the distance EA defcribe the circle AFG ; from the point D draw ...
Página 198
Therefore if two ftraight lines , & c . T Q. E. D. PROP . XI . PROB . O draw a ftraight line perpendicular to a plane , from a given point above it . Let A be the given point above the plane BH ; it is required to draw from the point .
Therefore if two ftraight lines , & c . T Q. E. D. PROP . XI . PROB . O draw a ftraight line perpendicular to a plane , from a given point above it . Let A be the given point above the plane BH ; it is required to draw from the point .
Página 422
ment of a circle EGF containing an angle equal to the given angle BAC ; draw GH bifecting EF at right angles , and join EG , GF . then fince the angle EGF is equal to the angle BAC , and that EGF is an Ifofceles triangle and ABC is not ...
ment of a circle EGF containing an angle equal to the given angle BAC ; draw GH bifecting EF at right angles , and join EG , GF . then fince the angle EGF is equal to the angle BAC , and that EGF is an Ifofceles triangle and ABC is not ...
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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