The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected : and Some of Euclid's Demonstrations Restored : Also the Book of Euclid's Data, in Like Manner CorrectedJ. Nourse, London, 1781 - 520 sider |
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Side 21
... angle BAC coincides with the angle EDF , and is equal to it . There- b . 8. Ax fore if two triangles , & c . Q. E. D. T PROP . IX . PRO B. O bifect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the ...
... angle BAC coincides with the angle EDF , and is equal to it . There- b . 8. Ax fore if two triangles , & c . Q. E. D. T PROP . IX . PRO B. O bifect a given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the ...
Side 22
... angles to a given straight line , from a given point in the fame . T & a Let AB be a given ftraight line , and C a point given in it ; it is required to draw a straight line from the point C at right angles to AB . F Take any point D in ...
... angles to a given straight line , from a given point in the fame . T & a Let AB be a given ftraight line , and C a point given in it ; it is required to draw a straight line from the point C at right angles to AB . F Take any point D in ...
Side 23
... angle CBE is equal a to the angle EBA ; in the fame manner , because ABD is a ftraight line , the angle DBE is equal ... given straight line of an unlimited length , from a given point without it . Let AB be the given ftraight line ...
... angle CBE is equal a to the angle EBA ; in the fame manner , because ABD is a ftraight line , the angle DBE is equal ... given straight line of an unlimited length , from a given point without it . Let AB be the given ftraight line ...
Side 30
... given point in it , and DCE the given rectilineal angle ; it is required to make an angle at the givenpoint ДД A in the given ftraight line AB , that fhall be equal to the given rec- tilineal angle DCE . Take in CD , CE , any peints D ...
... given point in it , and DCE the given rectilineal angle ; it is required to make an angle at the givenpoint ДД A in the given ftraight line AB , that fhall be equal to the given rec- tilineal angle DCE . Take in CD , CE , any peints D ...
Side 36
... angle BGH ; therefore the angles EGB , BGH are equal to the angles BGH , GHD ; but EGB , BGH are e- qual to two ... given point paral- lel to a given straight line . Let A be the given point , and BC the given straight line ; it is ...
... angle BGH ; therefore the angles EGB , BGH are equal to the angles BGH , GHD ; but EGB , BGH are e- qual to two ... given point paral- lel to a given straight line . Let A be the given point , and BC the given straight line ; it is ...
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The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
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alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle bifected Book XI cafe centre 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 fides BA fimilar fince firft firſt folid angle fome fore fphere 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 oppofite parallel parallelepipeds parallelogram perpendicular polygon prifm propofition proportionals pyramid Q. E. D. PROP rectangle contained rectilineal figure right angles ſquare thefe THEOR theſe triangle ABC vertex wherefore