Mathematical Questions and Solutions, Τόμος 18F. Hodgson, 1873 |
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A. B. EVANS a+b+c+e)² a²x² angular velocity asymptotes axes axis c²)² centre chord circumscribed circle common section cone confocal conic conic section constant coordinates cos² cos³ curve denote diagonals diameter directrix distance dx dy ellipse ellipsoid envelope equal fixed point foci focus G. S. CARR given circle given triangle hence inscribed circle intersection locus m² a+b+c+e middle points MITCHESON nine-point circle P₁ parabola parallel Pascal's Theorem passes perpendicular point of contact polar Professor TOWNSEND Proposed by Professor quadric quadrilateral r₁ radii radius rectangle rectangular hyperbola respectively right angle semi-cubical parabola sides sin² sin³ Solution by Professor sphere square STEPHEN WATSON straight line subtend surface tangent tangential equation theorem touching triangle ABC vertex whence