A Key to the Exercises and Examples Contained in a Text-book of Euclid's Elements: Books I.- VI. and XI.Macmillan, 1905 - 229 pages |
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Page 63
... if PX , QY intersect in O ' , O ' lies on RZ . Page 172 . 1. The diagonals of a parm . bisect one another . of intersection is the centre . .. their pt . 2. Let the parm . ABCD be inscribed in a EXERCISES ON BOOK III . 63 PAGES 171 , 172 .
... if PX , QY intersect in O ' , O ' lies on RZ . Page 172 . 1. The diagonals of a parm . bisect one another . of intersection is the centre . .. their pt . 2. Let the parm . ABCD be inscribed in a EXERCISES ON BOOK III . 63 PAGES 171 , 172 .
Page 64
... inscribed in a C . diagonals AC , BD intersect in O , the centre of the Because AO BO , . ' . △ OAB - Then the [ Ex . 1 ] . And because AO = DO , sum of ABD , ADB ; .. LOAD = L OBA . L ODA ; .. whole DAB S .. DAB is a rt . [ 1. 32 ] ...
... inscribed in a C . diagonals AC , BD intersect in O , the centre of the Because AO BO , . ' . △ OAB - Then the [ Ex . 1 ] . And because AO = DO , sum of ABD , ADB ; .. LOAD = L OBA . L ODA ; .. whole DAB S .. DAB is a rt . [ 1. 32 ] ...
Page 72
... inscribed in a O. Let BE bisect ABC = the int . at B , and let DE bisect the ext . △ at D. Then angle CDE = half the supplement of ADC = half the .. CBDE is concyclic [ Conv . of Prop . 21 ] ... E is on the 2. Let ABC be the △ , and P ...
... inscribed in a O. Let BE bisect ABC = the int . at B , and let DE bisect the ext . △ at D. Then angle CDE = half the supplement of ADC = half the .. CBDE is concyclic [ Conv . of Prop . 21 ] ... E is on the 2. Let ABC be the △ , and P ...
Page 89
... 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 94
... inscribed in a C , having one side DA produced to E. Then the S 8 DAB , DCB together two rt . angles [ III . 22 ] , and the △ DAB , BAE together two rt . angles [ 1. 13 ] . Hence L BAEL DCB . 6. Let the two intersect at A , B , 94 KEY ...
... inscribed in a C , having one side DA produced to E. Then the S 8 DAB , DCB together two rt . angles [ III . 22 ] , and the △ DAB , BAE together two rt . angles [ 1. 13 ] . Hence L BAEL DCB . 6. Let the two intersect at A , B , 94 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
AB² ABCD AC² angles AP² arc AC AX² base BC BC² bisector bisects centre chord circum collinear common tangent concyclic constant cutting the given diagonals diam diameter diff draw drawn equiangular equilat fixed point given base given point given ratio given st greater half Hence identically equal inscribed intersect isosceles Join Let AB Let ABC Let AX locus middle point middle pt orthocentre par¹ parm pass pedal triangle perp plane polar produced Radical Axis radius equal rect respectively rhombus segment shewn sides Similarly solutions subtended sum of sqq tangent touch triangle vert vertex