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 ... wherefore EBA is a right angle . and EB is drawn from the center ; but a ftraight line drawn from the extremity of a ...
is required to draw a straight line from A which fhall touch the Book III . circle . a Find the center E of the ... wherefore EBA is a right angle . and EB is drawn from the center ; but a ftraight line drawn from the extremity of a ...
Página 381
F a straight line be drawn to a given point in a gi- ven straight line , and makes a given angle with it . that straight line is given in pofition . Let AB be a straight line given in pofition , and C a given point 29 . in it ...
F a straight line be drawn to a given point in a gi- ven straight line , and makes a given angle with it . that straight line is given in pofition . Let AB be a straight line given in pofition , and C a given point 29 . in it ...
Página 446
DC is drawn to the given point D in the ftraight line BD given c . 32. Dat . in pofition in the given angle BDC , DC is given in pofition . and d . 28. Dat . the circumference ABC is given in pofition , therefore the point C is given .
DC is drawn to the given point D in the ftraight line BD given c . 32. Dat . in pofition in the given angle BDC , DC is given in pofition . and d . 28. Dat . the circumference ABC is given in pofition , therefore the point C is given .
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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