A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, Reader, and Dyer, 1869 - 377 страници |
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Страница iii
... a given Line of Perpendiculars of Triangle • • of Perpendiculars at Middle Points of Sides of Line making a given angle with a given Line 222222222 26 27 27 19 21 23 24 25 PAGE Length of Perpendicular from a Point on a Line.
... a given Line of Perpendiculars of Triangle • • of Perpendiculars at Middle Points of Sides of Line making a given angle with a given Line 222222222 26 27 27 19 21 23 24 25 PAGE Length of Perpendicular from a Point on a Line.
Страница iv
... Length of Perpendicular from a Point on a Line Equations of Bisectors of Angles between two given Right Lines Area of Triangle in terms of Co - ordinates of its Vertices Area of any Polygon • Condition that three Lines may meet in a ...
... Length of Perpendicular from a Point on a Line Equations of Bisectors of Angles between two given Right Lines Area of Triangle in terms of Co - ordinates of its Vertices Area of any Polygon • Condition that three Lines may meet in a ...
Страница v
... Length of Tangent to a Circle 82 , 83 84 Line cut harmonically by a Circle , Point , and its Polar 85 · Equation of pair of Tangents fram a given Point to a Circle 85 0 Circle through three Points ( see also p . 128 ) 86 • Condition ...
... Length of Tangent to a Circle 82 , 83 84 Line cut harmonically by a Circle , Point , and its Polar 85 · Equation of pair of Tangents fram a given Point to a Circle 85 0 Circle through three Points ( see also p . 128 ) 86 • Condition ...
Страница vi
... Length of Tangent to a Circle in Trilinear Co - ordinates 116 118 118 119 119 · 120 121 122 122 124 125 127 126 , 128 , 301 , 345 128 • 128 128 128 129 130 Feuerbach's theorem , that the four Circles which touch the sides of a Triangle ...
... Length of Tangent to a Circle in Trilinear Co - ordinates 116 118 118 119 119 · 120 121 122 122 124 125 127 126 , 128 , 301 , 345 128 • 128 128 128 129 130 Feuerbach's theorem , that the four Circles which touch the sides of a Triangle ...
Страница vii
... Length of central Perpendicular on Tangent 164 Angle between Conjugate Diameters 164 Locus of intersection of Tangents which cut at right Angles ( see also pp . 161 , 258 , 339 ) . 166 Supplemental Chords 166 To construct a pair of ...
... Length of central Perpendicular on Tangent 164 Angle between Conjugate Diameters 164 Locus of intersection of Tangents which cut at right Angles ( see also pp . 161 , 258 , 339 ) . 166 Supplemental Chords 166 To construct a pair of ...
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anharmonic ratio asymptotes ax² axes bisected bisectors chord of contact circumscribing coefficients common tangents condition conic section conjugate diameters corresponding cos² denote determine directrix double contact drawn ellipse equal find the co-ordinates find the equation find the locus fixed lines fixed point foci focus four points given circles given line given point Hence hyperbola imaginary points infinite distance inscribed intercept joining the points last Article length line at infinity line joining line meets meet the curve middle points origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar polar equation pole proved quadratic quadrilateral radical axis radius vector rectangle right angles right line second degree sides sin² square substituting tangential equation theorem values vanish vertex vertices