The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 3
... circle . XVII . A diameter of a circle is a straight line drawn through See N. the centre , and terminated both ways by the circum- ference . XVIII . A semicircle is the figure contained by a diameter and the part of the circumference ...
... circle . XVII . A diameter of a circle is a straight line drawn through See N. the centre , and terminated both ways by the circum- ference . XVIII . A semicircle is the figure contained by a diameter and the part of the circumference ...
Page 7
... circle BCD , and from the centre B , at the distance BA , describe the circle ACE ; and from the point C , in which the circles cut one * 3 Postu- BE late . * another , draw the straight lines * CA , CB , to the points 1 Post . A , B ...
... circle BCD , and from the centre B , at the distance BA , describe the circle ACE ; and from the point C , in which the circles cut one * 3 Postu- BE late . * another , draw the straight lines * CA , CB , to the points 1 Post . A , B ...
Page 8
... circle DEF : AE shall be equal to C. * Because A is the centre of the circle DEF , AE is equal to AD ; but the straight line C is likewise equal to + AD ; whence AE and C are each of them equal to AD ; wherefore the straight line AE is ...
... circle DEF : AE shall be equal to C. * Because A is the centre of the circle DEF , AE is equal to AD ; but the straight line C is likewise equal to + AD ; whence AE and C are each of them equal to AD ; wherefore the straight line AE is ...
Page 21
... 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 equal to FK ; but FD is equal to the straight line ...
... 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 equal to FK ; but FD is equal to the straight line ...
Page 54
... circles be applied to one another , so that their centres coincide , the circles must likewise coincide , since the straight lines from the cen- tres are equal . " II . A straight line is said to touch a cir- cle , when it meets the circle ...
... circles be applied to one another , so that their centres coincide , the circles must likewise coincide , since the straight lines from the cen- tres are equal . " II . A straight line is said to touch a cir- cle , when it meets the circle ...
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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