The Elements of EuclidA. Foulis, 1838 - 466 sider |
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Resultat 1-3 av 16
Side 71
... shewn that they cannot touch on the infide in more points than one . therefore one circle , & c . Q. E. D. PROP . XIV . THEOR . EQUAL ftraight lines in a circle are equally diftant from the center ; and those which are equally diftant ...
... shewn that they cannot touch on the infide in more points than one . therefore one circle , & c . Q. E. D. PROP . XIV . THEOR . EQUAL ftraight lines in a circle are equally diftant from the center ; and those which are equally diftant ...
Side 78
... . but ABC , CAB , BCA are equal to two right angles ; therefore alfo the angles ABC , ADC are equal to two right angles . in the fame manner the angles BAD , DCB may be shewn to be equal to two right angles 78 ELEMENTS THE.
... . but ABC , CAB , BCA are equal to two right angles ; therefore alfo the angles ABC , ADC are equal to two right angles . in the fame manner the angles BAD , DCB may be shewn to be equal to two right angles 78 ELEMENTS THE.
Side 187
... shewn equal to the rectangle BD , CE ; therefore the whole rectangle AC , BD is equal to the rectangle AB , DC together with the rectangle AD , BC . Therefore the rectangle , & c . Q. E.D. This is a Lemma of Cl . Ptolomaeus in page 9 ...
... shewn equal to the rectangle BD , CE ; therefore the whole rectangle AC , BD is equal to the rectangle AB , DC together with the rectangle AD , BC . Therefore the rectangle , & c . Q. E.D. This is a Lemma of Cl . Ptolomaeus in page 9 ...
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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