The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 20
... D , but unli- mited towards E , and make * DF equal to A , FG equal to B , and GH equal to C : from the centre F , at the distance FD , describe * the circle DKL ; and from the D K HE * 15 Def . + Constr . † 1 Ax 20 EUCLID'S ELEMENTS .
... D , but unli- mited towards E , and make * DF equal to A , FG equal to B , and GH equal to C : from the centre F , at the distance FD , describe * the circle DKL ; and from the D K HE * 15 Def . + Constr . † 1 Ax 20 EUCLID'S ELEMENTS .
Page 21
... centre G , at the distance GH , describe * another circle * 3 Post . HLK ; and join KF , KG : the triangle KFG shall have its sides equal to the three straight lines A , B , C. Because the point Fis the centre of the circle DKL , FD is ...
... centre G , at the distance GH , describe * another circle * 3 Post . HLK ; and join KF , KG : the triangle KFG shall have its sides equal to the three straight lines A , B , C. Because the point Fis the centre of the circle DKL , FD is ...
Page 53
... centre G , at the dis - 10 . 1 . tance GB , or GF , describe the semicircle BHF , and produce DE to H. The square described upon EH shall be equal to the given rectilineal figure A. * * 47.1 . Join GH : and because the straight line BF ...
... centre G , at the dis - 10 . 1 . tance GB , or GF , describe the semicircle BHF , and produce DE to H. The square described upon EH shall be equal to the given rectilineal figure A. * * 47.1 . Join GH : and because the straight line BF ...
Page 54
... centres of which the straight lines to the circumferences are equal . " This is not a definition , but a theorem , the truth of which is evident ; for , if the ... centre are equal . V. And the straight line on which the greater perpendi-
... centres of which the straight lines to the circumferences are equal . " This is not a definition , but a theorem , the truth of which is evident ; for , if the ... centre are equal . V. And the straight line on which the greater perpendi-
Page 55
... centre . VI . A segment of a circle is the figure contained by a straight line and the circumference it cuts off . VII . " The angle of a segment is that which is contained by the straight line and the circumference . " VIII . An angle ...
... centre . VI . A segment of a circle is the figure contained by a straight line and the circumference it cuts off . VII . " The angle of a segment is that which is contained by the straight line and the circumference . " VIII . An angle ...
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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