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The Principles of Analytical Geometry: Designed for the Use of Students
Henry Parr Hamilton
Podgląd niedostępny - 2016
according Algebra applied assumed asymptotes axes axis base becomes called centre CHAP chords circle co-ordinates coincides conjugate diameters considered constructed contained corresponding curve denote described determined difference direction distance dividing draw drawn dropped ellipse ellipse and hyperbola equal equation equation becomes evident expressed former formulas Geometry given line given point Hence hyperbola imaginary inclination infinite intersection join known latter locus magnitude manner means meet negative obtained origin parabola parallel passes perpendicular plane positive principal PROB problem produced projections Prop proportional proposed proved question radius rectangular referred relations represent resolved respectively resulting right angles roots second order sides similar situated solution sought space square straight line substitution supposed surface tangent triangle values whence
Strona 42 - the hyperbola, the difference of the squares of any two conjugate diameters is equal to the difference of the squares of the principal diameters