A Key to the Exercises and Examples Contained in a Text-book of Euclid's ElementsMacmillan, 1892 - 147 |
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Strona vi
... with a 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 .
... with a 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 2
... half line for the equal sides describe an isosc . A as in Ex . 1 , page 13 . Page 25 . 3. Take a pt . X on CF , or CF produced . Then DC = CE , CX is common , and △ DCX = ECX , being rt . § . .. DX = EX . Page 27 . 1. Let A be the ...
... half line for the equal sides describe an isosc . A as in Ex . 1 , page 13 . Page 25 . 3. Take a pt . X on CF , or CF produced . Then DC = CE , CX is common , and △ DCX = ECX , being rt . § . .. DX = EX . Page 27 . 1. Let A be the ...
Strona 3
... half the < S AOB , BOC ; that is , half of 2 rt . . 3. Since XOY is a rt . 4 , and AOB , BOC together 2 rt . 4s ; .. AOX and COY a rt . L. = 4. The COX is supplementary to AOX , and LAOX = L BOX . The second case is similar . Page 30 ...
... half the < S AOB , BOC ; that is , half of 2 rt . . 3. Since XOY is a rt . 4 , and AOB , BOC together 2 rt . 4s ; .. AOX and COY a rt . L. = 4. The COX is supplementary to AOX , and LAOX = L BOX . The second case is similar . Page 30 ...
Strona 11
... half the sum of the base angles . 7. In AABC let the external bisectors of 4 B and C meet at F , and the internal bisectors at E. Then by Ex . 2 , page 29 each of EBF , ECF is a rt . . .. LF is the suppt . of that is F = sum of $ EBC ...
... half the sum of the base angles . 7. In AABC let the external bisectors of 4 B and C meet at F , and the internal bisectors at E. Then by Ex . 2 , page 29 each of EBF , ECF is a rt . . .. LF is the suppt . of that is F = sum of $ EBC ...
Strona 13
... half parm . AC , and AAZB = half parm . AY . 2. Let BD be a diagonal of sq . ABCD . At B draw BE perp . to DB meeting DC produced in E. Then L CBE and △ DCB , ECB are equal in all respects [ 1. 26 ] . and △ DBE = twice △ DCB = given ...
... half parm . AC , and AAZB = half parm . AY . 2. Let BD be a diagonal of sq . ABCD . At B draw BE perp . to DB meeting DC produced in E. Then L CBE and △ DCB , ECB are equal in all respects [ 1. 26 ] . and △ DBE = twice △ DCB = given ...
Inne wydania - Wyświetl wszystko
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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