The Elements of EuclidA. Foulis, 1838 - 466 páginas |
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Página 46
... wherefore the angle CGB is equal to the angle GBC , and therefore the fide BC is equal to the fide CG . but CB is equal alfo f to GK , and CG to BK ; wherefore the figure CGKB is equilateral . it is like- wife rectangular ; for CG is ...
... wherefore the angle CGB is equal to the angle GBC , and therefore the fide BC is equal to the fide CG . but CB is equal alfo f to GK , and CG to BK ; wherefore the figure CGKB is equilateral . it is like- wife rectangular ; for CG is ...
Página 155
... wherefore ED is с b . 32. I. D C. 4. 6 . CE F d . 11. 5 . equal to DG ; and DF is common to the two triangles EDF , GDF . c . 9. 5 . therefore the two fides ED , DF are equal to the two fides GD , DF ; and the angle EDF is equal to the ...
... wherefore ED is с b . 32. I. D C. 4. 6 . CE F d . 11. 5 . equal to DG ; and DF is common to the two triangles EDF , GDF . c . 9. 5 . therefore the two fides ED , DF are equal to the two fides GD , DF ; and the angle EDF is equal to the ...
Página 370
... wherefore ↳ AD is gi- ven . and becaufe as the whole , AC , to the whole , EB , fo is AD to DE ; the remainder DC is to the remainder DB , as AC to EB ; and the ratio of AC to EB is given , wherefore the ratio of DC f . Cor . 6. to DB ...
... wherefore ↳ AD is gi- ven . and becaufe as the whole , AC , to the whole , EB , fo is AD to DE ; the remainder DC is to the remainder DB , as AC to EB ; and the ratio of AC to EB is given , wherefore the ratio of DC f . Cor . 6. to DB ...
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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