The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 329
... rectangle EA , AH equal to the rectangle EA , BF , that is to the rectangle C , D. and because EG , GF are equal to one another , and AE , LG , BF parallels , therefore AL and LB are equal ; alfo EK is equal to KH , and a . 3. 3 . the ...
... rectangle EA , AH equal to the rectangle EA , BF , that is to the rectangle C , D. and because EG , GF are equal to one another , and AE , LG , BF parallels , therefore AL and LB are equal ; alfo EK is equal to KH , and a . 3. 3 . the ...
Página 439
... rectangle must neceffarily be equal to one another . therefore in this cafe de cribe a fquare ABCD equal to the given rectangle , and its fides AB , BC are those which were to be found . for the rectangle AC is equal to the given space ...
... rectangle must neceffarily be equal to one another . therefore in this cafe de cribe a fquare ABCD equal to the given rectangle , and its fides AB , BC are those which were to be found . for the rectangle AC is equal to the given space ...
Página 440
... rectangle CA , AF is lefs than the fquare of AC , and the rectangle CA , AF itfelf lefs than half the fquare of AC , that is than the rectangle contained by the diameter AC and its half ; wherefore AF is lefs than the fe- midiameter of ...
... rectangle CA , AF is lefs than the fquare of AC , and the rectangle CA , AF itfelf lefs than half the fquare of AC , that is than the rectangle contained by the diameter AC and its half ; wherefore AF is lefs than the fe- midiameter of ...
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Términos y frases comunes
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