A Key to the Exercises and Examples Contained in a Text-book of Euclid's ElementsMacmillan, 1892 - 147 |
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Strona vi
... 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 247 , Ex . 7. Read , " P vi PREFACE .
... 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 247 , Ex . 7. Read , " P vi PREFACE .
Strona 13
... radius DC describe a circle cutting AB in E. Draw CF par1 . to DE meet- ing AB produced in F. Then EDCF is a rhombus and it is equal to parm . ABCD . If DC is less than perp . from D to AB the circle will not meet AB and the ...
... radius DC describe a circle cutting AB in E. Draw CF par1 . to DE meet- ing AB produced in F. Then EDCF is a rhombus and it is equal to parm . ABCD . If DC is less than perp . from D to AB the circle will not meet AB and the ...
Strona 20
... radius equal to given length describe a circle . This will in general cut CD in two pts . L , M. Then lines drawn through O par . to AL and AM will be the required lines . 26. Let AB be the line to which the required line is to be par1 ...
... radius equal to given length describe a circle . This will in general cut CD in two pts . L , M. Then lines drawn through O par . to AL and AM will be the required lines . 26. Let AB be the line to which the required line is to be par1 ...
Strona 23
... radius equal to K , describe a circle cutting AE or AE produced in the points C , C ' . From C and C ' draw perps . CD , C'D ' to AB ; and join CB , C'B . Then either of the As CDB , C'D'B will satisfy the given con- ditions . [ See ...
... radius equal to K , describe a circle cutting AE or AE produced in the points C , C ' . From C and C ' draw perps . CD , C'D ' to AB ; and join CB , C'B . Then either of the As CDB , C'D'B will satisfy the given con- ditions . [ See ...
Strona 24
... radius equal to K describe a circle cutting BE in E. At B make EBC equal to LAEB . Then ACB is the required A. [ Ex . 7 , p . 101. ] Since , if AE meets BD at F , it may be shewn that CBCF . 13. Let AD be the given perp . and let the ...
... radius equal to K describe a circle cutting BE in E. At B make EBC equal to LAEB . Then ACB is the required A. [ Ex . 7 , p . 101. ] Since , if AE meets BD at F , it may be shewn that CBCF . 13. Let AD be the given perp . and let the ...
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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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