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 15
... draw a ftraight line equal to a given straight line . FR Let A be the given point , and BC the given ftraight line ; it is required to draw from the point A a ftraight line equal to BC . From the point A to B draw the ftraight line AB ...
... draw a ftraight line equal to a given straight line . FR Let A be the given point , and BC the given ftraight line ; it is required to draw from the point A a ftraight line equal to BC . From the point A to B draw the ftraight line AB ...
Side 22
... draw a ftraight line at right 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 ...
... draw a ftraight line at right 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 ...
Side 23
... draw a ftraight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given ftraight line , which may be produced to any length both ways , and let C be a point without it ...
... draw a ftraight line perpendicular to a given straight line of an unlimited length , from a given point without it . Let AB be the given ftraight line , which may be produced to any length both ways , and let C be a point without it ...
Side 36
... draw a ftraight line through the point A , parallel to the ftraight line BC . E A F a 23. I. b 27. J. In BC take any ... drawn through the given point A parallel to 36 THE ELEMENTS.
... draw a ftraight line through the point A , parallel to the ftraight line BC . E A F a 23. I. b 27. J. In BC take any ... drawn through the given point A parallel to 36 THE ELEMENTS.
Side 37
... drawn through the given point A parallel to the given Book I. ftraight line BC . Which was to be done . PROP . XXXII ... draw CE parallel to the ftraight line AB ; and because AB is parallel to CE and AC meets them , the alternate angles ...
... drawn through the given point A parallel to the given Book I. ftraight line BC . Which was to be done . PROP . XXXII ... draw CE parallel to the ftraight line AB ; and because AB is parallel to CE and AC meets them , the alternate angles ...
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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