The Elements of EuclidA. Foulis, 1838 - 466 sider |
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Side
... Theorem , not a Definition , because the equality of figures of any kind must be demonftrated , and not affumed . and therefore , tho ' this were a true Propofition , it ought to have bee demonftrated . But indeed this Propofition ...
... Theorem , not a Definition , because the equality of figures of any kind must be demonftrated , and not affumed . and therefore , tho ' this were a true Propofition , it ought to have bee demonftrated . But indeed this Propofition ...
Side 333
... Theorem the truth or falfhood of which ought to be demonstrated , not assumed ; fo that Theon , or fome other Editor , has ignorantly turned a The- orem which ought to be demonftrated into this 10. Definition . that figures are fimilar ...
... Theorem the truth or falfhood of which ought to be demonstrated , not assumed ; fo that Theon , or fome other Editor , has ignorantly turned a The- orem which ought to be demonftrated into this 10. Definition . that figures are fimilar ...
Side 460
... Theorem premifed as a Lemma to Prop . 80. in that text . and Prop . 79. is made Cor . 1. to Prop . 77. in this Edition . Cl . Hardy in his Edition of the Data takes notice , that , in Prop . 80. of the Greek text , the parallel KL in ...
... Theorem premifed as a Lemma to Prop . 80. in that text . and Prop . 79. is made Cor . 1. to Prop . 77. in this Edition . Cl . Hardy in his Edition of the Data takes notice , that , in Prop . 80. of the Greek text , the parallel KL in ...
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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