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 |
Inni boken
Resultat 1-5 av 26
Side 48
... c 34. I. d 34. I. € 29. I. a 46. I. PROP . XLVI . PROB . To O describe a square upon a given ftraight line . Let AB be the given ftraight line ; it is required to describe a fquare upon AB . E From the point A draw a AC at right angles ...
... c 34. I. d 34. I. € 29. I. a 46. I. PROP . XLVI . PROB . To O describe a square upon a given ftraight line . Let AB be the given ftraight line ; it is required to describe a fquare upon AB . E From the point A draw a AC at right angles ...
Side 49
... AC , AG up- on the oppofite fides of AB , make with it at the point A the adjacent angles equal to two right angles ... square BDEC is equal to the two fquares GB , HC ; and the fquare BDEC is described upon the itraight line BC , and the ...
... AC , AG up- on the oppofite fides of AB , make with it at the point A the adjacent angles equal to two right angles ... square BDEC is equal to the two fquares GB , HC ; and the fquare BDEC is described upon the itraight line BC , and the ...
Side 54
... AC : Therefore HF , CK are the fquares of AC , CB ; and because the complement AG is equal 8 to the complement GE ... square of AB is equal to the fquares of AC , CB and twice the rectangle AC , CB . Wherefore , if a ftraight line , & c ...
... AC : Therefore HF , CK are the fquares of AC , CB ; and because the complement AG is equal 8 to the complement GE ... square of AB is equal to the fquares of AC , CB and twice the rectangle AC , CB . Wherefore , if a ftraight line , & c ...
Side 55
... square of CB . Upon CB defcribe the fquare CEFB , join BE , and through a 46 ... AC is equal to CB ; therefore alfo AL is K equal to DF . To each of thefe ... AC , CD , is equal to the rectangle contained by their fum and difference . Ꭰ ...
... square of CB . Upon CB defcribe the fquare CEFB , join BE , and through a 46 ... AC is equal to CB ; therefore alfo AL is K equal to DF . To each of thefe ... AC , CD , is equal to the rectangle contained by their fum and difference . Ꭰ ...
Side 56
... c 36. I. d 43. 1 . PRO P. VI . THEOR . F a ftraight line be bifected , and produced ... square of CB , is equal to the fquare of CD . C A Upon CD defcribe the ... AC is equal to CB , the rectangle AL is equal to CH ; but CH is equal to HF ...
... c 36. I. d 43. 1 . PRO P. VI . THEOR . F a ftraight line be bifected , and produced ... square of CB , is equal to the fquare of CD . C A Upon CD defcribe the ... AC is equal to CB , the rectangle AL is equal to CH ; but CH is equal to HF ...
Andre utgaver - Vis alle
The Elements of Euclid: Viz. The First Six Books, Together with the Eleventh ... Euclid Uten tilgangsbegrensning - 1793 |
Vanlige uttrykk og setninger
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