The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page xi
... produced a sin- gular capacity for investigating the truths of mathematical science . By such talents , and with a correct taste , formed by the study of the Greek geometers , he was also peculiarly qua- lified for communicating his ...
... produced a sin- gular capacity for investigating the truths of mathematical science . By such talents , and with a correct taste , formed by the study of the Greek geometers , he was also peculiarly qua- lified for communicating his ...
Page 5
... produced ever so far both ways , do not meet . POSTULATES . I. LET it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight ...
... produced ever so far both ways , do not meet . POSTULATES . I. LET it be granted that a straight line may be drawn from any one point to any other point . II . That a terminated straight line may be produced to any length in a straight ...
Page 6
... produced , shall at " length meet upon that side on which are the angles " which are less than two right angles . " See the notes on Prop . 29. of Book 1 . PROPOSITION I. PROBLEM . To describe an equilateral triangle upon 6 EUCLID'S ...
... produced , shall at " length meet upon that side on which are the angles " which are less than two right angles . " See the notes on Prop . 29. of Book 1 . PROPOSITION I. PROBLEM . To describe an equilateral triangle upon 6 EUCLID'S ...
Page 7
... produce the straight lines DA , DB , to E and F ; * 2 Post . from the centre B , at the distance BC describe the cir- * 3 Post . cle CGH , and from the centre D , at the distance DG describe the circle GKL . AL shall be equal to BC ...
... produce the straight lines DA , DB , to E and F ; * 2 Post . from the centre B , at the distance BC describe the cir- * 3 Post . cle CGH , and from the centre D , at the distance DG describe the circle GKL . AL shall be equal to BC ...
Page 9
... produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight linés AB , AC be produced to D and E : the angle ABC shall be equal to ...
... produced , the angles upon the other side of the base shall be equal . Let ABC be an isosceles triangle , of which the side AB is equal to AC , and let the straight linés AB , AC be produced to D and E : the angle ABC shall be equal to ...
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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