The Elements of Euclid |
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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 392
Fa triangle has one of its angles which is not a right angle given , and if the fides about another angle have a given ratio to one another ; the triangle is given in fpecies . Let the triangle ABC have one of its angles ABC a given ...
Fa triangle has one of its angles which is not a right angle given , and if the fides about another angle have a given ratio to one another ; the triangle is given in fpecies . Let the triangle ABC have one of its angles ABC a given ...
Página 426
4 . с Defcribe the circle BAC about the triangle , and from its cen- ter E draw EA , EB , EC , ED . because the angle BAC is given , the b . 20. 3. angle BEC at the center , which is the double of it , is given . and the ratio of BE to ...
4 . с Defcribe the circle BAC about the triangle , and from its cen- ter E draw EA , EB , EC , ED . because the angle BAC is given , the b . 20. 3. angle BEC at the center , which is the double of it , is given . and the ratio of BE to ...
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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