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 17
... angle BAC equal A to the angle EDF , the bafe BC fhall be equal to the bafe EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal each to each , viz . the angle ABCB to ...
... angle BAC equal A to the angle EDF , the bafe BC fhall be equal to the bafe EF ; and the triangle ABC to the triangle DEF ; and the other angles , to which the equal sides are opposite , shall be equal each to each , viz . the angle ABCB to ...
Side 18
... angles of the one are equal to the remaining angles of the other , each to each , to which the equal fides are oppofite ; viz . the angle ACF to the angle ABG , and the angle AFC to the angle F AGB : And ... angle ABC equal 18 THE ELEMENTS.
... angles of the one are equal to the remaining angles of the other , each to each , to which the equal fides are oppofite ; viz . the angle ACF to the angle ABG , and the angle AFC to the angle F AGB : And ... angle ABC equal 18 THE ELEMENTS.
Side 19
... equal to the Book I. angle ACB ; the fide AB is alfo equal to the fide AC ... angles , & c . Q E. D , COR . Hence every equiangular triangle is alfo ... equal to one another , and likewife those which are terminated in the other extremity ...
... equal to the Book I. angle ACB ; the fide AB is alfo equal to the fide AC ... angles , & c . Q E. D , COR . Hence every equiangular triangle is alfo ... equal to one another , and likewife those which are terminated in the other extremity ...
Side 21
... equal to EF ; therefore BC coinciding with EF , BA and Book I. AC fhall ... angles . Let BAC be the given rectilineal angle , it is required to bi- fect ... equal to AE , and AF is common to the two triangles DAF , EAF ; the two fides DA ...
... equal to EF ; therefore BC coinciding with EF , BA and Book I. AC fhall ... angles . Let BAC be the given rectilineal angle , it is required to bi- fect ... equal to AE , and AF is common to the two triangles DAF , EAF ; the two fides DA ...
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 ... angle CBE is equal a to the 22 THE ELEMENTS.
... 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 ... angle CBE is equal a to the 22 THE ELEMENTS.
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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