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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Resultat 1-5 av 56
Side 48
Let ABC be a right angled triangle having the right angle BAC ; the square defcribed upon the fide BC is equal to the fquares defcribed upon BA , AC . On BC defcribe the fquare BDEC , and on BA , AC the fquares " 49 G Н B D L fquares GB ...
Let ABC be a right angled triangle having the right angle BAC ; the square defcribed upon the fide BC is equal to the fquares defcribed upon BA , AC . On BC defcribe the fquare BDEC , and on BA , AC the fquares " 49 G Н B D L fquares GB ...
Side 49
... it is demonftrated that the parallelogram CL is equal to the fquare HC : Therefore the whole fquare BDEC is equal to the two fquares GB , HC ; and the fquare BDEC is described upon the straight line BC , and the fquares GB , HC upon ...
... it is demonftrated that the parallelogram CL is equal to the fquare HC : Therefore the whole fquare BDEC is equal to the two fquares GB , HC ; and the fquare BDEC is described upon the straight line BC , and the fquares GB , HC upon ...
Side 50
I. If the fquare defcribed upon BC , one of the fides of the triangle ABC , be equal to the fquares upon the other fides BA , AC , the angle BAC is a right angle . D A From the point A draw a AD at right angles to AC , and make AD equal ...
I. If the fquare defcribed upon BC , one of the fides of the triangle ABC , be equal to the fquares upon the other fides BA , AC , the angle BAC is a right angle . D A From the point A draw a AD at right angles to AC , and make AD equal ...
Side 52
Let the ftraight line AB be divided into any two parts in the point C ; the rect - A angle contained by AB , BC , together with the rectangle AB , AC , fhall be equal to the fquare of AB . Upon AB describe a the fquare ADEB , and ...
Let the ftraight line AB be divided into any two parts in the point C ; the rect - A angle contained by AB , BC , together with the rectangle AB , AC , fhall be equal to the fquare of AB . Upon AB describe a the fquare ADEB , and ...
Side 53
Let the ftraight line AB be divided into two parts in the point C ; the rectangle AB , BC is equal to the rectangle AC , CB , together with the fquare of BC . " Upon BC defcribe a the fquare A C CDEB , and produce ED to F , and through ...
Let the ftraight line AB be divided into two parts in the point C ; the rectangle AB , BC is equal to the rectangle AC , CB , together with the fquare of BC . " Upon BC defcribe a the fquare A C CDEB , and produce ED to F , and through ...
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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 |
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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