The Elements of EuclidA. Foulis, 1838 - 466 sider |
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Resultat 1-3 av 62
Side 31
... diameter is the ftraight line joining two of its oppofite angles . Let ABCD be a parallelogram , of which BC is a diameter . the oppofite fides and angles of the figure are equal to one ano- ther ; and the diameter BC bifects it . a a ...
... diameter is the ftraight line joining two of its oppofite angles . Let ABCD be a parallelogram , of which BC is a diameter . the oppofite fides and angles of the figure are equal to one ano- ther ; and the diameter BC bifects it . a a ...
Side 95
... diameter of the circle . Let ABC be the given circle , and D the given straight line , not greater than the diameter of the circle . Draw BC the diameter of the circle ABC ; then , if BC is equal to D , the thing required is done ; for ...
... diameter of the circle . Let ABC be the given circle , and D the given straight line , not greater than the diameter of the circle . Draw BC the diameter of the circle ABC ; then , if BC is equal to D , the thing required is done ; for ...
Side 450
... diameter of a circle given in pofition , or in the diameter produced , a ftraight line be drawn to any point in the circumference , and from that point a ftraight line be drawn at right angles to the firft , and from the point in which ...
... diameter of a circle given in pofition , or in the diameter produced , a ftraight line be drawn to any point in the circumference , and from that point a ftraight line be drawn at right angles to the firft , and from the point in which ...
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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