The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page vi
... manner , in the Demonstration of the 26th Prop . of the 11th Book , it is taken for granted that those solid angles are equal to one another which are contained by plane angles of the same number and magnitude , placed in the same order ...
... manner , in the Demonstration of the 26th Prop . of the 11th Book , it is taken for granted that those solid angles are equal to one another which are contained by plane angles of the same number and magnitude , placed in the same order ...
Page xi
... manner of teaching was uncommonly clear and success- ful ; and among his scholars , several rose to distinction as mathematicians ; among whom may be mentioned the cele- brated Dr. Matthew Stewart , professor of Mathematics at Edinburgh ...
... manner of teaching was uncommonly clear and success- ful ; and among his scholars , several rose to distinction as mathematicians ; among whom may be mentioned the cele- brated Dr. Matthew Stewart , professor of Mathematics at Edinburgh ...
Page 14
... manner , because ABD is a straight line , the angle DBE is equal to the angle EBA ; wherefore † the angle DBE is equal to the angle CBE , the less to the greater ; which is impossible : A D B therefore two straight lines cannot have a ...
... manner , because ABD is a straight line , the angle DBE is equal to the angle EBA ; wherefore † the angle DBE is equal to the angle CBE , the less to the greater ; which is impossible : A D B therefore two straight lines cannot have a ...
Page 17
... manner it can be demonstrated , that the angles CEB , AED are equal . Therefore , if two straight lines , & c . Q. E. D. COR . 1. From this it is manifest , that , if two straight lines cut one another , the angles which they make at ...
... manner it can be demonstrated , that the angles CEB , AED are equal . Therefore , if two straight lines , & c . Q. E. D. COR . 1. From this it is manifest , that , if two straight lines cut one another , the angles which they make at ...
Page 18
... manner , it may be demonstrated , that BAC , ACB , as also CAB , ABC , are less than two right angles . Therefore any two angles , & c . Q. E. D. * PROP . XVIII . THEOR . The greater side of every triangle is opposite to the greater ...
... manner , it may be demonstrated , that BAC , ACB , as also CAB , ABC , are less than two right angles . Therefore any two angles , & c . Q. E. D. * PROP . XVIII . THEOR . The greater side of every triangle is opposite to the greater ...
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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