The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page vii
... likewise is of the greatest use in the arts both of peace and war , to many of which geometry is abso- lutely necessary . This I have endeavoured to do , by taking away the inaccurate and false reasonings which unskilful editors have ...
... likewise is of the greatest use in the arts both of peace and war , to many of which geometry is abso- lutely necessary . This I have endeavoured to do , by taking away the inaccurate and false reasonings which unskilful editors have ...
Page ix
... likewise applied himself to the study of mixed mathema- tics , particularly to astronomy and optics . His works , as we learn from Pappus and Proclus , are the Elements , Data , Introduction to Harmony , Phænomena , Optics , Catoptrics ...
... likewise applied himself to the study of mixed mathema- tics , particularly to astronomy and optics . His works , as we learn from Pappus and Proclus , are the Elements , Data , Introduction to Harmony , Phænomena , Optics , Catoptrics ...
Page 8
... likewise the angles contained by those sides equal to one another ; they shall likewise have their bases , or third sides , equal ; and the two triangles shall be equal , and their other angles shall be equal , each to each , viz ...
... likewise the angles contained by those sides equal to one another ; they shall likewise have their bases , or third sides , equal ; and the two triangles shall be equal , and their other angles shall be equal , each to each , viz ...
Page 9
... likewise the angles contained by those sides equal to one another , their bases shall likewise be equal , and the triangles shall be equal , and their other angles to which the equal sides are opposite shall be equal , each to each ...
... likewise the angles contained by those sides equal to one another , their bases shall likewise be equal , and the triangles shall be equal , and their other angles to which the equal sides are opposite shall be equal , each to each ...
Page 11
... likewise those which are terminated in the other extremity . If it be possible , upon the same base AB , and upon . the same side of it , let there be two triangles ACB , ADB , which have their sides CA , DA terminated in the extremity ...
... likewise those which are terminated in the other extremity . If it be possible , upon the same base AB , and upon . the same side of it , let there be two triangles ACB , ADB , which have their sides CA , DA terminated in the extremity ...
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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