The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh and Twelfth. The Errors, by which Theon, Or Others, Have Long Ago Vitiated These Books, are Corrected, and Some of Euclid's Demonstrations are Restored. Also, the Book of Euclid's Data, in Like Manner CorrectedT. Desilver and R. Desilver, 1825 - 516 sider |
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Side 19
... angle BAC coincides with the angle EDF , and is equal ( 8. Ax . ) to it . Therefore , if two triangles , & c . Q. E. D. PROP . IX . PROB . To bisect a given rectilineal angle , that is , to divide it into two equal angles . it . Let BAC be ...
... angle BAC coincides with the angle EDF , and is equal ( 8. Ax . ) to it . Therefore , if two triangles , & c . Q. E. D. PROP . IX . PROB . To bisect a given rectilineal angle , that is , to divide it into two equal angles . it . Let BAC be ...
Side 20
... angles to a given straight line , from a given point in the same . Let AB be a given straight line , and C a point given in it : it is required to draw a straight line from the point C at right angles to AB . * F Take any point D in AC ...
... angles to a given straight line , from a given point in the same . Let AB be a given straight line , and C a point given in it : it is required to draw a straight line from the point C at right angles to AB . * F Take any point D in AC ...
Side 21
... angle CBE is equal ( 10 . Def . 1. ) to the angle EBA ; in the same manner , because ABD is a straight line , the ... given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which ...
... angle CBE is equal ( 10 . Def . 1. ) to the angle EBA ; in the same manner , because ABD is a straight line , the ... given straight line of an unlimited length , from a given point without it . Let AB be the given straight line , which ...
Side 28
... given straight lines A , B , C. Which was to be done . PROP . XXIII . PROB . Ar a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle . C A Let AB be the given straight line , and A the ...
... given straight lines A , B , C. Which was to be done . PROP . XXIII . PROB . Ar a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle . C A Let AB be the given straight line , and A the ...
Side 34
... angle AGH is not unequal to the angle GHD , that is , it is equal to it ; but the angle AGH is equal ( 15. 1. ) to ... given point parallel to a given straight line . Let A be the given point , and BC the given straight line ; it is ...
... angle AGH is not unequal to the angle GHD , that is , it is equal to it ; but the angle AGH is equal ( 15. 1. ) to ... given point parallel to a given straight line . Let A be the given point , and BC the given straight line ; it is ...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... Robert Simson,Euclid Euclid Ingen forhåndsvisning tilgjengelig - 2018 |
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altitude angle ABC angle BAC base BC BC is equal BC is given bisected centre circle ABCD circumference cone 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 meet multiple parallel parallelogram parallelogram AC perpendicular point F polygon prism proportionals proposition Q. E. D. PROP radius ratio of AE rectangle CB rectangle contained rectilineal figure remaining angle right angles segment 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