The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 21
Euclid Robert Simson. are greater than BE . to each of these add EC , therefore the fides Book I. BA , AC are greater than BE , EC . again , because the two fides CE , ED of the triangle CED are greater than CD , add DB to each of these ...
Euclid Robert Simson. are greater than BE . to each of these add EC , therefore the fides Book I. BA , AC are greater than BE , EC . again , because the two fides CE , ED of the triangle CED are greater than CD , add DB to each of these ...
Página 265
... these triangles erect a pyramid having the fame vertex with the cone ; each of these pyramids is greater than the half of the fegment of the cone in which it is . and thus dividing each of these circumferences into two equal parts , and ...
... these triangles erect a pyramid having the fame vertex with the cone ; each of these pyramids is greater than the half of the fegment of the cone in which it is . and thus dividing each of these circumferences into two equal parts , and ...
Página 26
... these five be taken , they either will be all con- tiguous or adjacent , or one of them will not be contiguous to either of the other two : in the first case , the part which is be- tween the other two is called the Middle part , and ...
... these five be taken , they either will be all con- tiguous or adjacent , or one of them will not be contiguous to either of the other two : in the first case , the part which is be- tween the other two is called the Middle part , and ...
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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