The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 99
... difference , contains two of the same parts : bisect * BC in E ; therefore BE , * 30. 3 . EC are each of them the fifteenth part of the whole circumference ABCD : therefore if the straight lines BE , EC be drawn , and straight lines ...
... difference , contains two of the same parts : bisect * BC in E ; therefore BE , * 30. 3 . EC are each of them the fifteenth part of the whole circumference ABCD : therefore if the straight lines BE , EC be drawn , and straight lines ...
Page 268
... difference of the other two from this he shews the circles must meet one another , in one case ; and says , that it may be proved after the same manner in any other case : but the straight line GM , which he bids take from GF , may be ...
... difference of the other two from this he shews the circles must meet one another , in one case ; and says , that it may be proved after the same manner in any other case : but the straight line GM , which he bids take from GF , may be ...
Page 283
... difference between the two demonstrations , except a single word in the construction , which very probably has been owing to an unskilful librarian . Clavius likewise gives both the ways ; but neither he nor Peletarius takes notice of ...
... difference between the two demonstrations , except a single word in the construction , which very probably has been owing to an unskilful librarian . Clavius likewise gives both the ways ; but neither he nor Peletarius takes notice of ...
Page 298
... difference betwixt the compounding of ratios , " and the duplication or triplication of them which are " defined in the 5th Book , but that in the duplication , " triplication , & c . of ratios , all the interposed ratios are " equal to ...
... difference betwixt the compounding of ratios , " and the duplication or triplication of them which are " defined in the 5th Book , but that in the duplication , " triplication , & c . of ratios , all the interposed ratios are " equal to ...
Page 308
... difference of the sides of a rectangle , and the magr nitude of it , to find the sides . bas aslimiz PROP . XXXI . B. VI . QAQ - eleas adt bonela vrelinie In the demonstration of this , the inversion of pro portionals is twice neglected ...
... difference of the sides of a rectangle , and the magr nitude of it , to find the sides . bas aslimiz PROP . XXXI . B. VI . QAQ - eleas adt bonela vrelinie In the demonstration of this , the inversion of pro portionals is twice neglected ...
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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