The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 275
... given of it : because , besides the definition of a circle , there is no ... position must be brought in , viz . straight lines from the centre of a ... given , which is the same with the second part of that which Campanus has translated ...
... given of it : because , besides the definition of a circle , there is no ... position must be brought in , viz . straight lines from the centre of a ... given , which is the same with the second part of that which Campanus has translated ...
Page 283
... position and the demonstration are there very much spoiled . Jacobus Peletarius , who was the first , as far as I know , who took notice of this error , gives also the right construction in his edition of Euclid , after he had given the ...
... position and the demonstration are there very much spoiled . Jacobus Peletarius , who was the first , as far as I know , who took notice of this error , gives also the right construction in his edition of Euclid , after he had given the ...
Page 290
... position : upon this account we have given a legiti- mate demonstration of this proposition instead of that in the Greek and other editions , which very probably Theon , at least some other , has put in the place of Euclid's because he ...
... position : upon this account we have given a legiti- mate demonstration of this proposition instead of that in the Greek and other editions , which very probably Theon , at least some other , has put in the place of Euclid's because he ...
Page 310
... position of the sides which contain the figures , to one another , depending partly upon each of these : and for the ... given no definition of equal figures , and it is certain he did not give this : for what he called the first Def ...
... position of the sides which contain the figures , to one another , depending partly upon each of these : and for the ... given no definition of equal figures , and it is certain he did not give this : for what he called the first Def ...
Page 337
... given in mag- nitude , when equals to them can be found . an be foun II . A ratio is said to be given , when a ratio ... position , which is con- tained by straight lines given in position . V .. A circle is said to be given in magnitude ...
... given in mag- nitude , when equals to them can be found . an be foun II . A ratio is said to be given , when a ratio ... position , which is con- tained by straight lines given in position . V .. A circle is said to be given in magnitude ...
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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