A Key to the Exercises and Examples Contained in a Text-book of Euclid's Elements |
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Page x
... common to the two △ 3 ; ... DB = AE and the △ are equal in all respects . ( iii ) 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 ...
... common to the two △ 3 ; ... DB = AE and the △ are equal in all respects . ( iii ) 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 ...
Page xi
... common to the two As , LAOM = L BOM ; ... AM *** BM . 4. The ABC the = ACB , and the 4 DBC = the DCB ; .. the whole ABD = the whole ACD . 5 . 8 In the △ ABD , ACD , AB = AC , and BD = DC , and so that and LABDL ACD .. the △ ABD , ACD ...
... common to the two As , LAOM = L BOM ; ... AM *** BM . 4. The ABC the = ACB , and the 4 DBC = the DCB ; .. the whole ABD = the whole ACD . 5 . 8 In the △ ABD , ACD , AB = AC , and BD = DC , and so that and LABDL ACD .. the △ ABD , ACD ...
Page xii
... common to both ; L BAE = L CAE , .. BE EC . [ Ex . 5. ] 8. Because DA = DC , [ 1. 4. ] [ Def . 29. ] .. L DAC = L DCA . Similarly , L BAC BCA , and .. L DAB = DCB . 9. In the A3 BCD , ADC , BC = AD , and DC is common to both , LBCD ...
... common to both ; L BAE = L CAE , .. BE EC . [ Ex . 5. ] 8. Because DA = DC , [ 1. 4. ] [ Def . 29. ] .. L DAC = L DCA . Similarly , L BAC BCA , and .. L DAB = DCB . 9. In the A3 BCD , ADC , BC = AD , and DC is common to both , LBCD ...
Page 2
... common , and △ DCX = ECX , being rt . § . .. DX = EX . Page 27 . 1. Let A be the vertex and BC the base bisected at D. Then BD = DC , AD is common , and AB = AC . .. LBDA = CDA [ 1. 8 ] . 2. Let X , Y be the middle pts . of the equal ...
... common , and △ DCX = ECX , being rt . § . .. DX = EX . Page 27 . 1. Let A be the vertex and BC the base bisected at D. Then BD = DC , AD is common , and AB = AC . .. LBDA = CDA [ 1. 8 ] . 2. Let X , Y be the middle pts . of the equal ...
Page 3
... common , and ABCD the rhombus has diags . BD , CA meeting at X. Then AB = BC , BX is common and LABX LCBX [ Ex . 6 ] . .. △ ABX , CBX are equal in all respects [ 1. 4 ] . = 12. In △ BAY , CAX , at A is common and BA , AY CA , AX ...
... common , and ABCD the rhombus has diags . BD , CA meeting at X. Then AB = BC , BX is common and LABX LCBX [ Ex . 6 ] . .. △ ABX , CBX are equal in all respects [ 1. 4 ] . = 12. In △ BAY , CAX , at A is common and BA , AY CA , AX ...
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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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