The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page vi
... given , is put in its proper place among the Definitions of the 5th Book ... magnitude . " Now this propo- sition is a Theorem , not a Definition ... magnitude , and yet be unequal to one another , as shall be made evident in the Notes ...
... given , is put in its proper place among the Definitions of the 5th Book ... magnitude . " Now this propo- sition is a Theorem , not a Definition ... magnitude , and yet be unequal to one another , as shall be made evident in the Notes ...
Page 283
... magnitude to itself a certain number of times ; and this is to be found in ... given the other which he blames . He says , he would not leave it out ... give this one , since he was to make use of neither of them in his mutilated edition ...
... magnitude to itself a certain number of times ; and this is to be found in ... given the other which he blames . He says , he would not leave it out ... give this one , since he was to make use of neither of them in his mutilated edition ...
Page 288
... given , has been deceived in applying what is manifest , when understood of magnitudes , unto ratios , viz . that a magnitude ... given of the 10th prop . is no doubt the same with that of Eudoxus or Euclid , as it is immediately and directly ...
... given , has been deceived in applying what is manifest , when understood of magnitudes , unto ratios , viz . that a magnitude ... given of the 10th prop . is no doubt the same with that of Eudoxus or Euclid , as it is immediately and directly ...
Page 307
... given rectangle , exceeding by a square . Let AB be the given straight line , and the rectangle C , D , the given ... magnitude of it be- ing likewise given , to find its sides . And the 4th Problem is the same with this : to find ' a ...
... given rectangle , exceeding by a square . Let AB be the given straight line , and the rectangle C , D , the given ... magnitude of it be- ing likewise given , to find its sides . And the 4th Problem is the same with this : to find ' a ...
Page 310
... magnitude , that are neither similar nor equal , as shall be demonstrated ... Magnitudes that wholly coincide are equal to one " another ; " or from Prop A. of ... given no definition of equal figures , and it is certain he did not give ...
... magnitude , that are neither similar nor equal , as shall be demonstrated ... Magnitudes that wholly coincide are equal to one " another ; " or from Prop A. of ... given no definition of equal figures , and it is certain he did not give ...
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The Elements Of Euclid: Viz. The First Six Books, Together With The Eleventh ... Robert Simson,Euclid,John Davidson No preview available - 2019 |
Common terms and phrases
ABC is given AC is equal altitude angle ABC angle BAC base BC bisected centre circle ABCD circumference common logarithm cone Constr cylinder demonstrated described diameter draw drawn equal angles equiangular equimultiples Euclid ex æquali excess fore given angle given in magnitude given in position given in species given magnitude given ratio given straight line gnomon greater join less Let ABC logarithm multiple opposite parallel parallelogram AC perpendicular polygon prism proportionals proposition pyramid Q. E. D. PROP radius ratio of AE rectangle contained rectilineal figure right angles segment shewn sides BA similar sine solid angle solid parallelopipeds square of AC straight line AB straight line BC tangent THEOR third triangle ABC triplicate ratio vertex wherefore