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 CorrE. Wingrove, London, and J. Balfour, Edinburgh, 1793 - 520 sider |
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Resultat 6-10 av 55
Side 49
... described upon the straight line BC , and the fquares GB , HC upon BA , AC : Wherefore the fquare upon the fide BC is e- qual to the fquares upon the fides BA , AC . Therefore , in any right angled triangle , & c . Q. E. D. PROP ...
... described upon the straight line BC , and the fquares GB , HC upon BA , AC : Wherefore the fquare upon the fide BC is e- qual to the fquares upon the fides BA , AC . Therefore , in any right angled triangle , & c . Q. E. D. PROP ...
Side 50
... described upon BC , one of the fides of the tri- angle ABC , be equal to the squares upon the other fides BA , AC , the angle BAC is a right angle . Ꭰ . From the point A draw a AD at right angles to AC , and make AD equal to BA , and ...
... described upon BC , one of the fides of the tri- angle ABC , be equal to the squares upon the other fides BA , AC , the angle BAC is a right angle . Ꭰ . From the point A draw a AD at right angles to AC , and make AD equal to BA , and ...
Side 89
... described : And it is evident , that if the angle ABD be greater than the angle BAD , the centre E falls without the fegment ABC , which therefore is less than a femicircle : But if the angle ABD be less than BAD , the centre E falls ...
... described : And it is evident , that if the angle ABD be greater than the angle BAD , the centre E falls without the fegment ABC , which therefore is less than a femicircle : But if the angle ABD be less than BAD , the centre E falls ...
Side 102
... described about another figure , when all the fides of the circumfcribed figure pass through the an- gular points of the figure about which it is described , each through each . III . A rectilineal figure is faid to be infcribed in a ...
... described about another figure , when all the fides of the circumfcribed figure pass through the an- gular points of the figure about which it is described , each through each . III . A rectilineal figure is faid to be infcribed in a ...
Side 105
... described about the circle ABC . to be done . Which was To inferi PROP . IV . PRO B. O infcribe a circle in a given triangle . Let the given triangle be ABC ; it is required to infcribe a circle in ABC . See N. Bifect the angles ABC ...
... described about the circle ABC . to be done . Which was To inferi PROP . IV . PRO B. O infcribe a circle in a given triangle . Let the given triangle be ABC ; it is required to infcribe a circle in ABC . See N. Bifect the angles ABC ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Euclid,Robert Simson Uten tilgangsbegrensning - 1781 |
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alfo alſo angle ABC angle BAC bafe baſe BC is equal BC is given becauſe the angle becauſe the ratio bifected Book XI cafe centre circle ABCD circumference cone confequently conftruction cylinder defcribed demonftrated diameter drawn EFGH equal angles equiangular equimultiples Euclid excefs faid fame multiple fame ratio fecond fegment fhall fide BC fides fimilar 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 parallelepiped parallelogram perpendicular plane angles PROP propofition proportionals pyramid rectangle contained rectilineal figure right angles ſame ſhall ſphere ſquare THEOR theſe tiple triangle ABC wherefore