A Key to the Exercises and Examples Contained in a Text-book of Euclid's Elements |
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Page vi
... middle point of one side as centre and with a radius equal to half the sum of the other two sides , it will touch the circles described on these sides as diameters . " Page 235 , Ex . 18. Add , " and F , B , C , G are concyclic . " Page ...
... middle point of one side as centre and with a radius equal to half the sum of the other two sides , it will touch the circles described on these sides as diameters . " Page 235 , Ex . 18. Add , " and F , B , C , G are concyclic . " Page ...
Page vii
... centre of the circle which passes through the three escribed centres . " Page 284. In place of Ex . 13 read , " Given the orthocentre , the centre of the nine - points - circle , and the middle point of the base , construct the triangle ...
... centre of the circle which passes through the three escribed centres . " Page 284. In place of Ex . 13 read , " Given the orthocentre , the centre of the nine - points - circle , and the middle point of the base , construct the triangle ...
Page 33
... middle point of QQ ' , so that PQ = { QQ ' = } } ( AQ — AQ ' ) = 1⁄2 ) ( AQ — BQ ) . Page 131 . Take the enunciations as given on p . 131 , that is , AQ . QB PB2 ~ PQ2 = ( AQ + QB ) 2 2 ~ ( AQ - QB 2 ( See the last Exercise . ) Page 137 ...
... middle point of QQ ' , so that PQ = { QQ ' = } } ( AQ — AQ ' ) = 1⁄2 ) ( AQ — BQ ) . Page 131 . Take the enunciations as given on p . 131 , that is , AQ . QB PB2 ~ PQ2 = ( AQ + QB ) 2 2 ~ ( AQ - QB 2 ( See the last Exercise . ) Page 137 ...
Page 34
... middle point of AB . [ See Ex . 4 , p . 59. ] Then by II . 13 , AC2 = AB2 + BC2 – 2BX . BC = = AB2 + BC2 - AB . BC . 4. Let the ABC have the ABC equal to two 34 KEY TO EUCLID .
... middle point of AB . [ See Ex . 4 , p . 59. ] Then by II . 13 , AC2 = AB2 + BC2 – 2BX . BC = = AB2 + BC2 - AB . BC . 4. Let the ABC have the ABC equal to two 34 KEY TO EUCLID .
Page 35
... middle point , then by 11. 4 AB2 = AC2 + CB2 + 2AC . CB = AC2 + AC2 + 2AC . AC = AC2 + AC2 + 2AC2 = 4AC2 . - 2. Let AB be divided into three parts at the points X , Y. On AB describe the sq . ABCD . Join BD . Through X and Y draw XP ...
... middle point , then by 11. 4 AB2 = AC2 + CB2 + 2AC . CB = AC2 + AC2 + 2AC . AC = AC2 + AC2 + 2AC2 = 4AC2 . - 2. Let AB be divided into three parts at the points X , Y. On AB describe the sq . ABCD . Join BD . Through X and Y draw XP ...
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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