The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 280
... given in that book as in this : but indeed there ❝is scarce any need of it in either of them : though I " think ... species of compound ratio : but Theon has made it the 5th def . of B. 6. where he gives an absurd and entirely useless ...
... given in that book as in this : but indeed there ❝is scarce any need of it in either of them : though I " think ... species of compound ratio : but Theon has made it the 5th def . of B. 6. where he gives an absurd and entirely useless ...
Page 337
... given in species , which each of their angles given , and the ratios of their sides given . IV . Points , lines , and spaces , are said to be given in posi tion , which have always the same situation , and which . are either actually ...
... given in species , which each of their angles given , and the ratios of their sides given . IV . Points , lines , and spaces , are said to be given in posi tion , which have always the same situation , and which . are either actually ...
Page 366
... given . A G L B CH M D EK N F In AB take a given point L , and draw LM perpendicular to CD , meeting EF in N ; there ... species . * Let each of the sides of the triangle ABC be given in magnitude , the triangle ABC is given in species ...
... given . A G L B CH M D EK N F In AB take a given point L , and draw LM perpendicular to CD , meeting EF in N ; there ... species . * Let each of the sides of the triangle ABC be given in magnitude , the triangle ABC is given in species ...
Page 367
... given in position and magni- tude , and at the points D , E , make the angle EDF equal to the angle BAC , and the ... species * ; and it is similar to the triangle ABC ; which therefore is given in species . PROP . XLIV . If one of the ...
... given in position and magni- tude , and at the points D , E , make the angle EDF equal to the angle BAC , and the ... species * ; and it is similar to the triangle ABC ; which therefore is given in species . PROP . XLIV . If one of the ...
Page 368
... given in species , and therefore also the triangle ABC . * 42 . See N. * 2 Dat . * 2 Dat . * 22.5 . * 20. 1 . * A.5 . * 22.1 . * 42 Dat . * 5.6 . PROP . XLV . If the sides of a triangle have to one another given ratios ; the triangle is ...
... given in species , and therefore also the triangle ABC . * 42 . See N. * 2 Dat . * 2 Dat . * 22.5 . * 20. 1 . * A.5 . * 22.1 . * 42 Dat . * 5.6 . PROP . XLV . If the sides of a triangle have to one another given ratios ; the triangle is ...
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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