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 are Restored. Also the Book of Euclid's Data, in Like Manner Corr |
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Side 21
1 . base EF , the fides BA , AC cannot but coincide with the fides ED , DF ; wherefore likewife the angle BAC ... B. Ti O bifect a given rectilineal angle , that is , to divide it into two equal angles . b I. I. Let BAC be the given ...
1 . base EF , the fides BA , AC cannot but coincide with the fides ED , DF ; wherefore likewife the angle BAC ... B. Ti O bifect a given rectilineal angle , that is , to divide it into two equal angles . b I. I. Let BAC be the given ...
Side 22
Tur O draw a straight line at right angles to a given straight line , from a given point in the fame . See N. Let AB be a given straight line , and C a point given in it ; it is required to draw a straight line from the point C at right ...
Tur O draw a straight line at right angles to a given straight line , from a given point in the fame . See N. Let AB be a given straight line , and C a point given in it ; it is required to draw a straight line from the point C at right ...
Side 23
line , the angle CBE is equala to the angle EBA ; in the fame manner , because ABD is a ftraight line , the angle DBE is ... T O draw a ftraight line perpendicular to a given straight line of an unlimited length , from a given point ...
line , the angle CBE is equala to the angle EBA ; in the fame manner , because ABD is a ftraight line , the angle DBE is ... T O draw a ftraight line perpendicular to a given straight line of an unlimited length , from a given point ...
Side 30
PRO B. Ta given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle . A Let AB be the given straight line , and A the given point in it , and DCE the given rectilineal angle ; it is required ...
PRO B. Ta given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle . A Let AB be the given straight line , and A the given point in it , and DCE the given rectilineal angle ; it is required ...
Side 37
EAF is drawn through the given point A parallel to the given Book I ftraight line BC . ... IF a fide of any triangle be produced , the exterior angle is equal to the two interior and oppofite angles ; and the three interior angles of ...
EAF is drawn through the given point A parallel to the given Book I ftraight line BC . ... IF a fide of any triangle be produced , the exterior angle is equal to the two interior and oppofite angles ; and the three interior angles of ...
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The Elements of Euclid: Viz the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1803 |
The Elements of Euclid, Viz; The First Six Books: Together With the Eleventh ... Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
Vanlige uttrykk og setninger
added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe Book Book XI centre circle circle ABCD circumference common cone cylinder defcribed definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples fame fame multiple fecond fegment fhall fides fimilar firft firſt folid fore four fourth fquare fquare of BC ftraight line given angle given in fpecies given in pofition given magnitude given ratio given ſtraight line greater Greek half join lefs leſs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP propofition proportionals pyramid reaſon rectangle rectangle contained remaining right angles ſquare Take taken THEOR theſe third triangle ABC wherefore whole