The Elements of EuclidA. Foulis, 1838 - 466 sider |
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Side 73
... extremity of it , falls without the circle ;, and no straight line can be drawn between that straight line and the circumference from the extremity , so as not to cut the circle ; or , which is the fame thing , no ftraight line can make ...
... extremity of it , falls without the circle ;, and no straight line can be drawn between that straight line and the circumference from the extremity , so as not to cut the circle ; or , which is the fame thing , no ftraight line can make ...
Side 290
... extremity of two lines that are contiguous . thus if B be the extremity of the line AB , or the common extremity of the two lines AB , KB , this extremity is called a point , and has no length . for if it have any , this length must ...
... extremity of two lines that are contiguous . thus if B be the extremity of the line AB , or the common extremity of the two lines AB , KB , this extremity is called a point , and has no length . for if it have any , this length must ...
Side
... extremities of the arch AC , perpendicular upon the diameter paffing through the other extremity A , is called the Sine of the arch AC , or of the angle ABC , of which it is the measure . COR . The Sine of a quadrant , or of a right ...
... extremities of the arch AC , perpendicular upon the diameter paffing through the other extremity A , is called the Sine of the arch AC , or of the angle ABC , of which it is the measure . COR . The Sine of a quadrant , or of a right ...
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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