An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory of Projections |
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Page vii
... side of the Triangle of Refer- • 17. Condition of Perpendicularity 18 19 • 18 . Distance from a Point to a Straight Line , 20 EXAMPLES • 21 • 19 . ANHARMONIC RATIO . Definitions 23 20 . The Anharmonic Ratio of a Pencil is equal to that ...
... side of the Triangle of Refer- • 17. Condition of Perpendicularity 18 19 • 18 . Distance from a Point to a Straight Line , 20 EXAMPLES • 21 • 19 . ANHARMONIC RATIO . Definitions 23 20 . The Anharmonic Ratio of a Pencil is equal to that ...
Page viii
... Sides of the Tri- angle of Reference 39 8 . Position of the Centre . Condition for a Parabola 40 9 . Condition of Tangency 42 10 . · Equations of the Four Circles which touch the Three Sides of the Triangle of Reference 43 11-15 ...
... Sides of the Tri- angle of Reference 39 8 . Position of the Centre . Condition for a Parabola 40 9 . Condition of Tangency 42 10 . · Equations of the Four Circles which touch the Three Sides of the Triangle of Reference 43 11-15 ...
Page xi
... sides of the triangle of reference ib . 8 . Equation of circumscribed Conic 138 · 9 . Equation of the Pole of a given straight line , and of the centre . Condition for a Parabola 139 10 . Circular points at infinity ib . Conditions for ...
... sides of the triangle of reference ib . 8 . Equation of circumscribed Conic 138 · 9 . Equation of the Pole of a given straight line , and of the centre . Condition for a Parabola 139 10 . Circular points at infinity ib . Conditions for ...
Page xiv
... side of an inscribed triangle whose other sides pass each through a fixed point Locus of a vertex of a circumscribed triangle , whose other ver- tices move each along a fixed straight line 174 • • 176 20 . Trilinear co - ordinates of ...
... side of an inscribed triangle whose other sides pass each through a fixed point Locus of a vertex of a circumscribed triangle , whose other ver- tices move each along a fixed straight line 174 • • 176 20 . Trilinear co - ordinates of ...
Page 1
... sides , lines of reference , and the distances of a point from its three sides will be called the trilinear co - ordinates of that point . We shall usually denote the angular points of the triangle of reference by the letters A , B , C ...
... sides , lines of reference , and the distances of a point from its three sides will be called the trilinear co - ordinates of that point . We shall usually denote the angular points of the triangle of reference by the letters A , B , C ...
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Common terms and phrases
angular points asymptotes ax+bB+cy b₁ b₂ C₁ Cambridge centre Chap co-ordinates coefficients College common tangents conic section Crown 8vo determinant directrix Edition equation Fcap find the equation fixed point follows four points given conic given point given straight line Hence imaginary investigated Let the equation line at infinity line joining locus meets the conic nine-point circle numerous Illustrations obtain opposite sides Owens College pair parabola Pascal's Theorem perpendicular point f points of intersection pole Professor prove radical axis ratios rectangular hyperbola represented respect right angles second degree shewn similar and similarly sin POS tangents tangents drawn term a,b,c theorem three straight lines tion touches the line triangle of reference Ua² ux² V'ca v'f+u'g+wh va² values Vb² vß² W. K. CLIFFORD W'ab whence wy² λα