The Elements of EuclidA. Foulis, 1838 - 466 sider |
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Side 294
... Axiom , by fome the 12. on which this 29. depends , has given a great deal to do both to antient and modern Geometers . it feems not to be properly placed among the Axioms , as 294 S. NOTE.
... Axiom , by fome the 12. on which this 29. depends , has given a great deal to do both to antient and modern Geometers . it feems not to be properly placed among the Axioms , as 294 S. NOTE.
Side 316
... Axiom , [ i . e . the Propofition before fet down , ] " remains demonftrated , " & c . Not in the leaft ; but it remains ftill undemonftrated . for what he fays may happen , may in innumerable cafes never happen , and therefore his ...
... Axiom , [ i . e . the Propofition before fet down , ] " remains demonftrated , " & c . Not in the leaft ; but it remains ftill undemonftrated . for what he fays may happen , may in innumerable cafes never happen , and therefore his ...
Side 339
... Axiom which " Euclid himself had laid down Book 1. N ° 14. " ( he means Bar- row's Euclid , for it is the 10th in the Greek ) " and not to have " demonftrated , what no man can demonftrate ? " But all that in this cafe can follow from ...
... Axiom which " Euclid himself had laid down Book 1. N ° 14. " ( he means Bar- row's Euclid , for it is the 10th in the Greek ) " and not to have " demonftrated , what no man can demonftrate ? " But all that in this cafe can follow from ...
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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