A Key to the Exercises and Examples Contained in a Text-book of Euclid's Elements |
From inside the book
Page 2
... given st . line , and with the half line for the equal sides describe an isosc . A as in Ex . 1 , page 13 . Page 25 . 3. Take a pt . X on CF , or CF produced . Then DC = CE , CX is common , and △ DCX = ECX , being rt . § . .. DX = EX ...
... given st . line , and with the half line for the equal sides describe an isosc . A as in Ex . 1 , page 13 . Page 25 . 3. Take a pt . X on CF , or CF produced . Then DC = CE , CX is common , and △ DCX = ECX , being rt . § . .. DX = EX ...
Page 5
... given base . Then with s with radii equal to the two given st . Then KFG is the required A. If FK > FG + GK , then FK > FH , and the circle with centre F would fall outside the other circle , and there would be no pt . of intersection K ...
... given base . Then with s with radii equal to the two given st . Then KFG is the required A. If FK > FG + GK , then FK > FH , and the circle with centre F would fall outside the other circle , and there would be no pt . of intersection K ...
Page 6
... given st . line . Draw PC perp . to AB , and PD , PE on the same side of PC to meet AB in D Also let PD be nearer to ... given st . line AB in X. From X draw XP , XQ perp . to the given lines . Then XP = XQ by I. 26 . If AB is par1 . to ...
... given st . line . Draw PC perp . to AB , and PD , PE on the same side of PC to meet AB in D Also let PD be nearer to ... given st . line AB in X. From X draw XP , XQ perp . to the given lines . Then XP = XQ by I. 26 . If AB is par1 . to ...
Page 7
... given pt . , AB the given st . line ; at B make ABX equal to given . From O draw a line par1 . to BX . 4. Let AD be drawn perp . to BC . [ 1. 26 ] , and is also par1 . to XYZ . Then AD bisects BAC .. LZYA = L BYX = L Bad = dac = LYZA ...
... given pt . , AB the given st . line ; at B make ABX equal to given . From O draw a line par1 . to BX . 4. Let AD be drawn perp . to BC . [ 1. 26 ] , and is also par1 . to XYZ . Then AD bisects BAC .. LZYA = L BYX = L Bad = dac = LYZA ...
Page 12
... given △ ABC , and let PQ be the st . line in which the vertex is to lie . Through C draw CD par1 . to AB meeting PQ in D ; then ADB is the required △ [ 1. 37 ] . 4. Let AB be the base of the given AABC . Through C draw CD par1 . to AB ...
... given △ ABC , and let PQ be the st . line in which the vertex is to lie . Through C draw CD par1 . to AB meeting PQ in D ; then ADB is the required △ [ 1. 37 ] . 4. Let AB be the base of the given AABC . Through C draw CD par1 . to AB ...
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 AB˛ ABCD AC˛ angles Assistant Master AX˛ BC˛ 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 parš 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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