A Key to the Exercises and Examples Contained in a Text-book of Euclid's ElementsMacmillan, 1892 - 147 |
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Strona vii
... , the centre of the nine - points - circle , and the middle point of the base , construct the triangle . " October , 1892 . H. S. HALL . F. H. STEVENS . INTRODUCTION . SOLUTIONS TO EXERCISES ON PAGES 17—17 B. Page PREFACE . vii.
... , the centre of the nine - points - circle , and the middle point of the base , construct the triangle . " October , 1892 . H. S. HALL . F. H. STEVENS . INTRODUCTION . SOLUTIONS TO EXERCISES ON PAGES 17—17 B. Page PREFACE . vii.
Strona ix
Henry Sinclair Hall, Frederick Haller Stevens. INTRODUCTION . SOLUTIONS TO EXERCISES ON PAGES 17—17 B. Page 17 . E , F. 1. From centre C with rad . L describe a cutting AB in Then CE = CF Thus E and F are the required pts . [ Def . 11 ...
Henry Sinclair Hall, Frederick Haller Stevens. INTRODUCTION . SOLUTIONS TO EXERCISES ON PAGES 17—17 B. Page 17 . E , F. 1. From centre C with rad . L describe a cutting AB in Then CE = CF Thus E and F are the required pts . [ Def . 11 ...
Strona 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 .
Strona xii
... = CN , and BM = MC , and LLBM = NCM , [ 1. 5. ] .. LM = MN . Join LM . [ 1. 4. ] and Then each of the As ALN , LMN is isosceles , .. LALNL ANL , L MLN = MNL , .. LALMLANM [ 1. 5. ] KEY TO EXERCISES . 1 . BOOK I. Page 13 xii INTRODUCTION .
... = CN , and BM = MC , and LLBM = NCM , [ 1. 5. ] .. LM = MN . Join LM . [ 1. 4. ] and Then each of the As ALN , LMN is isosceles , .. LALNL ANL , L MLN = MNL , .. LALMLANM [ 1. 5. ] KEY TO EXERCISES . 1 . BOOK I. Page 13 xii INTRODUCTION .
Strona 1
... Introduction . ] Page 23 . 1. The point F would fall in one of the following ways : ( 1 ) above DE and below A , in which case the proof would still hold , ( 2 ) on the pt . A , in which case the constr . fails , ( 3 ) above the pt . A ...
... Introduction . ] Page 23 . 1. The point F would fall in one of the following ways : ( 1 ) above DE and below A , in which case the proof would still hold , ( 2 ) on the pt . A , in which case the constr . fails , ( 3 ) above the pt . A ...
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A Key to the Exercises and Examples Contained in a Text-Book of Euclid's ... H S 1848-1934 Hall Podgląd niedostępny - 2018 |
A Key to the Exercises and Examples Contained in a Text-Book of Euclid's ... H. S. Hall Podgląd niedostępny - 2017 |
Kluczowe wyrazy i wyrażenia
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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