A Key to the Exercises and Examples Contained in a Text-book of Euclid's ElementsMacmillan, 1892 - 147 |
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Strona 30
... fixed pt . C and whose radius is half the given length of the rod . 8. Let ACB be a rt . angled △ on AB as hypotenuse . Then , if AB is bisected at D , CD is constant , being equal to half of AB . Thus the locus is a circle whose ...
... fixed pt . C and whose radius is half the given length of the rod . 8. Let ACB be a rt . angled △ on AB as hypotenuse . Then , if AB is bisected at D , CD is constant , being equal to half of AB . Thus the locus is a circle whose ...
Strona 31
... fixed distance from BC ( being one - third of the distance between the parl . ) ; .. O lies on a st . line par1 . to BC and at a fixed distance from it . X. INTERSECTION OF LOCI . Page 119 . Join 1. Let X , Y be the given pts . , AB the ...
... fixed distance from BC ( being one - third of the distance between the parl . ) ; .. O lies on a st . line par1 . to BC and at a fixed distance from it . X. INTERSECTION OF LOCI . Page 119 . Join 1. Let X , Y be the given pts . , AB the ...
Strona 41
... fixed point ; .. the locus of A is a circle , whose centre is at X. 31. Since CB is a median of the AACD , But .. DC2 + CA2 = 2AB2 + 2BC2 [ Ex . 24 , p . 147 ] . CA2 = AB2 [ Hyp . ] .. DC2 AB2 + 2BC2 . - 32. Let ABC be a △ rt . angled ...
... fixed point ; .. the locus of A is a circle , whose centre is at X. 31. Since CB is a median of the AACD , But .. DC2 + CA2 = 2AB2 + 2BC2 [ Ex . 24 , p . 147 ] . CA2 = AB2 [ Hyp . ] .. DC2 AB2 + 2BC2 . - 32. Let ABC be a △ rt . angled ...
Strona 43
... fixed point , Q is determined . 41. This is the same as dividing a line externally in medial section . [ See Ex . 21 , p . 146 , and p . 139 , note . ] 42. Draw the rect . ABDH , contained by AB THEOREMS AND EXAMPLES ON BOOK II . PAGE ...
... fixed point , Q is determined . 41. This is the same as dividing a line externally in medial section . [ See Ex . 21 , p . 146 , and p . 139 , note . ] 42. Draw the rect . ABDH , contained by AB THEOREMS AND EXAMPLES ON BOOK II . PAGE ...
Strona 61
... fixed , and B approaches A. Then the perp . EF ultimately coincides with the perp . from A to the tangent at A ; and always passes through C. 2. Let AB be the common chord of two Os whose centres are E , F. Then EF bisects AB at right ...
... fixed , and B approaches A. Then the perp . EF ultimately coincides with the perp . from A to the tangent at A ; and always passes through C. 2. Let AB be the common chord of two Os whose centres are E , F. Then EF bisects AB at right ...
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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 |
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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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