A Key to the Exercises and Examples Contained in a Text-book of Euclid's Elements |
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Page x
... ) Because OAB is an isosceles △ , .. L DAB = L EBA . ( ii ) ] . [ Def . 19. ] [ Def . 11. ] [ 1. 4. ] [ 1. 5. ] ( iv ) The A ODB , OEA are equal in all respects , [ proved in .. LODBLOEA . and and · and 2. ( i ) In the X INTRODUCTION .
... ) Because OAB is an isosceles △ , .. L DAB = L EBA . ( ii ) ] . [ Def . 19. ] [ Def . 11. ] [ 1. 4. ] [ 1. 5. ] ( iv ) The A ODB , OEA are equal in all respects , [ proved in .. LODBLOEA . and and · and 2. ( i ) In the X INTRODUCTION .
Page 4
... proved similarly by joining AC . L AXB > the 5. Let X be the pt . in base BC ; then the AXB > the and ACX is not less than 4 ABC ; .. the that is , AB > AX . That ACX , ABX ; 6. Here the OCB > the OBC ; .. OB 4 KEY TO EUCLID .
... proved similarly by joining AC . L AXB > the 5. Let X be the pt . in base BC ; then the AXB > the and ACX is not less than 4 ABC ; .. the that is , AB > AX . That ACX , ABX ; 6. Here the OCB > the OBC ; .. OB 4 KEY TO EUCLID .
Page 9
... proved for a fig . of any number of sides . 4. The n angles + 4 rt . .. the n angles = ( 2n = 2n rt . $ . − 4 ) rt . ≤3 , - ... each = 2n- 4 n right angles . page 60. Let AB , DC meet in G ; BC , DE , BA in L ; EA , CB in M. Then by ...
... proved for a fig . of any number of sides . 4. The n angles + 4 rt . .. the n angles = ( 2n = 2n rt . $ . − 4 ) rt . ≤3 , - ... each = 2n- 4 n right angles . page 60. Let AB , DC meet in G ; BC , DE , BA in L ; EA , CB in M. Then by ...
Page 19
... proved as in Ex . 17. In the second case , with same construction as before , BN = OL = NM . .. 2oz = 2OL - 2LZ = BM - MY - AX = BY -- AX . 20. Let ABCD be the given parm . Through A draw any st . line EAF and let CX , BF and DE be ...
... proved as in Ex . 17. In the second case , with same construction as before , BN = OL = NM . .. 2oz = 2OL - 2LZ = BM - MY - AX = BY -- AX . 20. Let ABCD be the given parm . Through A draw any st . line EAF and let CX , BF and DE be ...
Page 21
... proved equal to the angle of an equilat . A. S 13. The APS , CRQ are identically equal [ 1. 4 ] . Again .. PS = QR , and APS = 4 QRC . △ APR alt . L CRP ; = .. SPR : = PRQ . That is , SP is equal and par1 . to QR . par ' . to PQ [ 1 ...
... proved equal to the angle of an equilat . A. S 13. The APS , CRQ are identically equal [ 1. 4 ] . Again .. PS = QR , and APS = 4 QRC . △ APR alt . L CRP ; = .. SPR : = PRQ . That is , SP is equal and par1 . to QR . par ' . to PQ [ 1 ...
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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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