An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory Projections |
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Page vii
... the Trilinear Co - ordinates of a Point ib . Distance between two given Points 4 4-6 . Investigation of Equations of certain Straight Lines 6 7 . . Every Straight Line may be represented by an Equation of the First Degree 9 · 8 . 9 . 10 ...
... the Trilinear Co - ordinates of a Point ib . Distance between two given Points 4 4-6 . Investigation of Equations of certain Straight Lines 6 7 . . Every Straight Line may be represented by an Equation of the First Degree 9 · 8 . 9 . 10 ...
Page viii
... The Bisectors of any Angle form , with the Lines containing it , an Harmonic Pencil 23 . Anharmonic Ratio of a given Pencil 24 . Fourth Harmonic to Three given Straight Lines 25 . Harmonic Relation of Points and Lines • 26 . ON ...
... The Bisectors of any Angle form , with the Lines containing it , an Harmonic Pencil 23 . Anharmonic Ratio of a given Pencil 24 . Fourth Harmonic to Three given Straight Lines 25 . Harmonic Relation of Points and Lines • 26 . ON ...
Page ix
The Method of Reciprocal Polars, and the Theory Projections Norman Macleod Ferrers ... Lines or Columns 9 . Multiplication of a Determinant by a given Quantity 10 ... straight line , drawn in a given direction through a given point of the ...
The Method of Reciprocal Polars, and the Theory Projections Norman Macleod Ferrers ... Lines or Columns 9 . Multiplication of a Determinant by a given Quantity 10 ... straight line , drawn in a given direction through a given point of the ...
Page x
The Method of Reciprocal Polars, and the Theory Projections Norman Macleod Ferrers. ARTS ... Straight Lines ib . 3 . Formulæ relating to Conics 102 CHAPTER VI ... given point A is divided harmonically by any Conic Section and the polar of ...
The Method of Reciprocal Polars, and the Theory Projections Norman Macleod Ferrers. ARTS ... Straight Lines ib . 3 . Formulæ relating to Conics 102 CHAPTER VI ... given point A is divided harmonically by any Conic Section and the polar of ...
Page xi
The Method of Reciprocal Polars, and the Theory Projections Norman Macleod Ferrers. ARTS . 17 . 18 . • PAGE If four straight lines ... given straight lines have a common radical axis . 121 29 . 30 . Polar reciprocal of a circle with regard to ...
The Method of Reciprocal Polars, and the Theory Projections Norman Macleod Ferrers. ARTS . 17 . 18 . • PAGE If four straight lines ... given straight lines have a common radical axis . 121 29 . 30 . Polar reciprocal of a circle with regard to ...
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Common terms and phrases
aa+bB+cy angular points asymptotes auxiliary conic b₁ Brianchon's Theorem C₁ centre Chap chord co-ordinates coefficients common tangents conic passing conic section determinant directrix find the equation fixed point fixed straight line focus follows four points given conic given point given straight line Hence imaginary internal bisectors investigated Let the equation line at infinity locus meets the conic nine-point circle obtain opposite sides pair parabola Pascal's Theorem perpendicular point f point of intersection points at infinity points of contact polar reciprocal projection prove radical axis reciprocal curve reciprocated with respect rectangular hyperbola represented right angles second degree similar and similarly system of conics tangents drawn theorem three points three straight lines triangle of reference ua² uf+w'g+v'h Vb² vß² W'ab Wc² whence wy²