The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth |
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Page 7
... draw the straight lines * CA , CB , to the points 1 Post . A , B ; ABC shall be an equilateral triangle . Because ... draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is ...
... draw the straight lines * CA , CB , to the points 1 Post . A , B ; ABC shall be an equilateral triangle . Because ... draw a straight line equal to a given straight line . Let A be the given point , and BC the given straight line ; it is ...
Page 8
... drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB . From the greater of two given ... draw the straight line AD equal to C ; and from the centre A , and at the distance AD describe * the circle DEF : AE ...
... drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB . From the greater of two given ... draw the straight line AD equal to C ; and from the centre A , and at the distance AD describe * the circle DEF : AE ...
Page 13
... draw a straight line at right angles to a given straight line , from a given point in the same . + Constr . * 4.1 . Let AB be a given straight line , and C a point given See N. in it ; it is required to draw a straight line from the ...
... draw a straight line at right angles to a given straight line , from a given point in the same . + Constr . * 4.1 . Let AB be a given straight line , and C a point given See N. in it ; it is required to draw a straight line from the ...
Page 14
... draw + BE at right angles to AB ; and because ABC is a straight line , the angle CBE is equal to the angle EBA ; in the same manner , because ABD is a straight line , the angle DBE is equal to the angle EBA ; wherefore † the angle DBE ...
... draw + BE at right angles to AB ; and because ABC is a straight line , the angle CBE is equal to the angle EBA ; in the same manner , because ABD is a straight line , the angle DBE is equal to the angle EBA ; wherefore † the angle DBE ...
Page 15
... drawn from the given point C , shall be perpendicular to the given straight line AB . * * * Join CF , CG : and because ... draw BE at right angles * to CD ; therefore the an- gles CBE , EBD * are two right angles and because D C B * the ...
... drawn from the given point C , shall be perpendicular to the given straight line AB . * * * Join CF , CG : and because ... draw BE at right angles * to CD ; therefore the an- gles CBE , EBD * are two right angles and because D C B * the ...
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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