The Elements of EuclidA. Foulis, 1838 - 466 sider |
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Side 78
... reason , the angle BFD is double of the angle BED . therefore the angle BAD is equal to the angle BED . 2. 32. I. b . 21. 3 . But if the fegment BAED be not greater than a femicircle , let BAD , BED be angles in it ; thefe alfo are ...
... reason , the angle BFD is double of the angle BED . therefore the angle BAD is equal to the angle BED . 2. 32. I. b . 21. 3 . But if the fegment BAED be not greater than a femicircle , let BAD , BED be angles in it ; thefe alfo are ...
Side 222
... reason , because the fo- lid AK is cut by the plane LGHB thro ' the diagonals LG , BH of Ꭰ H K F G N B A I the oppofite planes ALNG , CBKH , the folid AK is double of the fame prifm which is contained by the triangles ALG , CBH ...
... reason , because the fo- lid AK is cut by the plane LGHB thro ' the diagonals LG , BH of Ꭰ H K F G N B A I the oppofite planes ALNG , CBKH , the folid AK is double of the fame prifm which is contained by the triangles ALG , CBH ...
Side 277
... reason , the circumference BC is greater han NO ; and be caufe the straight line AB is greater than EF which is greater than MN , much more is AB greater than MN . therefore the cir- cumference AB is greater than MN ; and for the fame ...
... reason , the circumference BC is greater han NO ; and be caufe the straight line AB is greater than EF which is greater than MN , much more is AB greater than MN . therefore the cir- cumference AB is greater than MN ; and for the fame ...
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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