The Quarterly Journal of Pure and Applied Mathematics, Volume 7J.W. Parker, 1866 - Mathematics |
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... Problem : to be solved Analytically in One Move , or more simply Synthetically in Two Moves . By Thomas Cotterill 259 Notes on some of the Conditions of the Resolvability of the Ternary Cubic Form into Factors . By J. J. Walker Note on ...
... Problem : to be solved Analytically in One Move , or more simply Synthetically in Two Moves . By Thomas Cotterill 259 Notes on some of the Conditions of the Resolvability of the Ternary Cubic Form into Factors . By J. J. Walker Note on ...
Page 37
... problems , set in the year 1860 , a figure was given , from which many of the relations of the parts of a curve of double curvature may be obtained by inspection . I propose now , in connection with this figure , to give a general ...
... problems , set in the year 1860 , a figure was given , from which many of the relations of the parts of a curve of double curvature may be obtained by inspection . I propose now , in connection with this figure , to give a general ...
Page 72
... problem For shortness , assume x sin A tan A = X ; and cyclically for then is , in fine , to determine the envelope of Xλ ( λ − μ ) ( λ − y ) + Y μ ( μ − v ) ( μ − λ ) + Zv ( v − λ ) ( v — μ ) = 0 , - - the parameters being ...
... problem For shortness , assume x sin A tan A = X ; and cyclically for then is , in fine , to determine the envelope of Xλ ( λ − μ ) ( λ − y ) + Y μ ( μ − v ) ( μ − λ ) + Zv ( v − λ ) ( v — μ ) = 0 , - - the parameters being ...
Page 96
... Problem of Elimination ; " " Notes on Poly- hedra ; " and " On a certain Envelope depending on a Triangle Inscribed in a Circle . " Mr. J. J. WALKER , " Notes on some of the conditions of the Resol- vability of the Ternary Cubic Form ...
... Problem of Elimination ; " " Notes on Poly- hedra ; " and " On a certain Envelope depending on a Triangle Inscribed in a Circle . " Mr. J. J. WALKER , " Notes on some of the conditions of the Resol- vability of the Ternary Cubic Form ...
Page 147
... PROBLEM I. Given any curve of the second degree , and n points 1 ... , in a plane ; to inscribe in the curve a complete n sided polygon , whose n sides will pass respectively and successively through the given points taken in the ...
... PROBLEM I. Given any curve of the second degree , and n points 1 ... , in a plane ; to inscribe in the curve a complete n sided polygon , whose n sides will pass respectively and successively through the given points taken in the ...
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Common terms and phrases
2n sided polygon A₁ angular points answerable position axes axis B₁ C₁ caustic centre chord circle coefficient coincident COLENSO'S common complete 2n complete n sided complete polygons conic coordinates corresponding cube cubic curvature curve d₁ denote determine differential dodecahedron dx dy equal equation expression fixed point following theorem formula function geometrical given points given surface Hence icosahedron inscription integral locus method Nasik nine-point circle obtained octahedron osculating plane P₁ parallel pass in order perpendicular plane polar PORISM prescribed manner problem quadric quantics radius result roots rotation roulette second degree shewn sided part-polygons sided polygons sides pass solution square straight line symbols tangent tetrahedron triangle trilinear coordinates values vanish variables William Walton Y₁ µ³