A Key to the Exercises and Examples Contained in a Text-book of Euclid's Elements |
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Page 18
... respectively par1 . to YZ , ZX , XY . by 1. 34 , AZ = XY = BZ . 7. Through P draw PQ par . to AC meeting AB in Q ; on QB make QX equal to AQ ; join XP and produce it to meet AC in Y. Then QP drawn from middle pt . of AX par1 . to AY ...
... respectively par1 . to YZ , ZX , XY . by 1. 34 , AZ = XY = BZ . 7. Through P draw PQ par . to AC meeting AB in Q ; on QB make QX equal to AQ ; join XP and produce it to meet AC in Y. Then QP drawn from middle pt . of AX par1 . to AY ...
Page 19
... respectively ; from B let BG be drawn perp . to AC . Draw BH par1 . to AC to meet ED produced in H. Then GH is a parm , and BG EH . Also △ BFD , BHD are identically equal [ 1. 26 ] , so that DH DF . That is , BG = sum of DE and DF ...
... respectively ; from B let BG be drawn perp . to AC . Draw BH par1 . to AC to meet ED produced in H. Then GH is a parm , and BG EH . Also △ BFD , BHD are identically equal [ 1. 26 ] , so that DH DF . That is , BG = sum of DE and DF ...
Page 22
... respectively , and OG perp . to OF making OG equal to OF . Draw GH perp . to AB ; join OH , and draw OK perp . to OH meeting BC in K. Then A OHG , OFK are identically equal [ 1. 26 ] , and OH = OK . The line OG may be drawn par1 . to AB ...
... respectively , and OG perp . to OF making OG equal to OF . Draw GH perp . to AB ; join OH , and draw OK perp . to OH meeting BC in K. Then A OHG , OFK are identically equal [ 1. 26 ] , and OH = OK . The line OG may be drawn par1 . to AB ...
Page 23
... respectively , PQR is the required A. 8. Let AB be the base and K the given difference . Bisect AB at X ; from X draw XH perp . to AB , making XH equal to K ; join AH . At the pt . A make HAC equal to AHX , and since HX < AX [ Ex . 7 ...
... respectively , PQR is the required A. 8. Let AB be the base and K the given difference . Bisect AB at X ; from X draw XH perp . to AB , making XH equal to K ; join AH . At the pt . A make HAC equal to AHX , and since HX < AX [ Ex . 7 ...
Page 24
... respectively . Then △ EOB , DOF are identically equal [ 1. 29 , 26 ] . ... AEFD = △ ADB = half the parm . 2. Join the given pt . to the middle pt . of a diagonal , and produce it to meet two of the parallel sides . Examples 3 and 4 ...
... respectively . Then △ EOB , DOF are identically equal [ 1. 29 , 26 ] . ... AEFD = △ ADB = half the parm . 2. Join the given pt . to the middle pt . of a diagonal , and produce it to meet two of the parallel sides . Examples 3 and 4 ...
Other editions - View all
A Key to the Exercises and Examples Contained in a Text-Book of Euclid's ... H S 1848-1934 Hall No preview available - 2018 |
A Key to the Exercises and Examples Contained in a Text-Book of Euclid's ... H. S. Hall No preview available - 2017 |
Common terms and phrases
A. W. VERRALL AABC AB² ABCD AC² angles Assistant Master AX² BC² bisector bisects Cambridge centre chord circle circum College concyclic constant describe diam diameter diff draw ELEMENTARY equiangular equilat FASNACHT Fcap fixed point G. E. FASNACHT given base given point given ratio given st GREEK Hence identically equal inscribed intersect Introduction and Notes ISAAC TODHUNTER isosceles Join Let ABC LL.D locus M.A. BOOK meet middle point middle pt orthocentre Owens College par¹ parm pedal triangle perp plane produced Prof Professor Radical Axis radius equal rect respectively segment shewn sides Similarly sum of sqq tangent touch Translated triangle Trinity College vert vols
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