A Key to the Exercises and Examples Contained in a Text-book of Euclid's Elements |
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Page vii
... inscribed circle , construct the triangle . " Page 283 . Exx . 38 and 39 are removed to page 382 , where they take the place of Exx . 59 and 60 . For Ex . 38 read , " Given the base and vertical angle of a triangle , shew that one angle ...
... inscribed circle , construct the triangle . " Page 283 . Exx . 38 and 39 are removed to page 382 , where they take the place of Exx . 59 and 60 . For Ex . 38 read , " Given the base and vertical angle of a triangle , shew that one angle ...
Page 46
... inscribed in a . diagonals AC , BD intersect in O , the centre of the Because AO BO , . ' . △ OAB = L OBA . = .. LOAD = L ODA ; .. whole DAB = sum of $ ABD , ADB ; .. △ DAB is a rt . ≤ [ 1. 32 ] . = 3. Let C , D be the centres of two ...
... inscribed in a . diagonals AC , BD intersect in O , the centre of the Because AO BO , . ' . △ OAB = L OBA . = .. LOAD = L ODA ; .. whole DAB = sum of $ ABD , ADB ; .. △ DAB is a rt . ≤ [ 1. 32 ] . = 3. Let C , D be the centres of two ...
Page 54
... inscribed in a ☺ . the int . at B , and let DE bisect the ext . at D. CDE = half the supplement of ADC half the ABC = .. CBDE is concyclic [ Conv . of Prop . 21 ] ... E is on the 2. Let ABC be the △ , and P , Q , R arcs BC , CA , AB ...
... inscribed in a ☺ . the int . at B , and let DE bisect the ext . at D. CDE = half the supplement of ADC half the ABC = .. CBDE is concyclic [ Conv . of Prop . 21 ] ... E is on the 2. Let ABC be the △ , and P , Q , R arcs BC , CA , AB ...
Page 71
... inscribed and escribed of the A formed by the three given lines . 28. Let AB be the given st . line , C the given point in it , and D the other point through which the required is to pass . Then since the required is to touch AB at C ...
... inscribed and escribed of the A formed by the three given lines . 28. Let AB be the given st . line , C the given point in it , and D the other point through which the required is to pass . Then since the required is to touch AB at C ...
Page 76
... inscribed in a O , having one side DA produced to E. Then the and the Hence S DAB , DCB together two rt . angles [ 111. 22 ] , DAB , BAE together two rt . angles [ 1. 13 ] . - L BAE = 4 DCB . 8 6. Let the two intersect at A , B 76 KEY ...
... inscribed in a O , having one side DA produced to E. Then the and the Hence S DAB , DCB together two rt . angles [ 111. 22 ] , DAB , BAE together two rt . angles [ 1. 13 ] . - L BAE = 4 DCB . 8 6. Let the two intersect at A , B 76 KEY ...
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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