The Elements of EuclidA. Foulis, 1838 - 466 sider |
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Resultat 1-3 av 89
Side 69
... G the center of ADE . the straight line which joins the joints F , G shall pass thro ' the point of contact A. For if not , let it pass otherwise , if poffible , as FCDG , and join Book III . FA , AG . and because F E3 OF EUCLID . ' 69.
... G the center of ADE . the straight line which joins the joints F , G shall pass thro ' the point of contact A. For if not , let it pass otherwise , if poffible , as FCDG , and join Book III . FA , AG . and because F E3 OF EUCLID . ' 69.
Side 445
... join AD and produce it to E , and join EC . and be- caufe each of the ftraight lines EA , AC is given , their ratio is given ; and the angle ACE is a right angle , therefore the trian- gle ACE is given b in fpecies , and confe- quently ...
... join AD and produce it to E , and join EC . and be- caufe each of the ftraight lines EA , AC is given , their ratio is given ; and the angle ACE is a right angle , therefore the trian- gle ACE is given b in fpecies , and confe- quently ...
Side 14
... Join AC , and draw AE a straight line to any other point E in BC ; join DE : fince AC , AB are quadrants , the angles ADB , ADC are right angles , and AD will be perpendicular to the plane of BC therefore the angle ADE is a right angle ...
... Join AC , and draw AE a straight line to any other point E in BC ; join DE : fince AC , AB are quadrants , the angles ADB , ADC are right angles , and AD will be perpendicular to the plane of BC therefore the angle ADE is a right angle ...
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AC is equal alfo alſo angle ABC angle BAC bafe baſe BC is given becauſe the angle bifected Book XI cafe circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn equal angles equiangular equimultiples Euclid excefs faid fame manner fame multiple fame ratio fame reafon fecond fegment fhall fhewn fide BC fides fimilar fince firft firſt folid angle fome fore fquare of AC ftraight line AB given angle given ftraight line given in fpecies given in magnitude given in pofition given magnitude given ratio gnomon greater join lefs leſs likewife line BC muſt oppofite parallel parallelepipeds parallelogram perpendicular prifms Propofition proportionals pyramid rectangle contained rectilineal figure right angles ſhall ſphere ſquare thefe THEOR theſe thro tiple triangle ABC wherefore