## An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory Projections |

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Page viii

Every Equation of the Second Degree represents a

of the

Condition for a Parabola Condition of Tangency . Every Parabola touches the ...

Every Equation of the Second Degree represents a

**Conic**Section 2 , 3 . Equationof the

**Conic**described about the Triangle of Reference 4 . Position of the Centre .Condition for a Parabola Condition of Tangency . Every Parabola touches the ...

Page ix

ON THE

SECOND DEGREE . 2 . 3 . 4 , 5 . 6 . 72 73 74 76 7 . 8 . To find the Point in which

a Straight Line , drawn in a given direction through a given Point of the

meets ...

ON THE

**CONIC**REPRESENTED BY THE GENERAL EQUATION OF THESECOND DEGREE . 2 . 3 . 4 , 5 . 6 . 72 73 74 76 7 . 8 . To find the Point in which

a Straight Line , drawn in a given direction through a given Point of the

**Conic**,meets ...

Page x

Directrix of a Parabola To find the magnitudes of the axes of the

area of the

Formulæ relating to Straight Lines Formulæ relating to

CHAPTER VI .

Directrix of a Parabola To find the magnitudes of the axes of the

**Conic**To find thearea of the

**Conic**. ... Definition of the Triangular Co - ordinates of a PointFormulæ relating to Straight Lines Formulæ relating to

**Conics**95 3 : 96CHAPTER VI .

Page xi

Equation of a

Equation of circumscribed

and of the centre . Condition for a Parabola 9 . Circular points at infinity

Conditions for ...

Equation of a

**Conic**, touching the three sides of the triangle of reference 7 .Equation of circumscribed

**Conic**8 . Equation of the Pole of a given straight line ,and of the centre . Condition for a Parabola 9 . Circular points at infinity

Conditions for ...

Page xii

Any two intersecting

eccentricity ib . 18 . Any two

eccentricity , or into circles 141 19 . Projection of the foci and directrices of a

Any two intersecting

**conics**may be projected into hyperbolas of any assignedeccentricity ib . 18 . Any two

**conics**may be projected into**conics**of anyeccentricity , or into circles 141 19 . Projection of the foci and directrices of a

**Conic**ib .### What people are saying - Write a review

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### Common terms and phrases

angle angular points Arithmetic asymptotes auxiliary become BOOKS called Cambridge centre Chap chapter chord circle cloth co-ordinates coincide College condition conic conic section considered constant corresponding Crown 8vo curve denoted described determine directrix distance equal equation Examples expressed fixed point focus follows four points given conic given point given straight line gives harmonic Hence hyperbola imaginary line at infinity locus meet move obtain opposite sides pair parabola parallel passing pencil perpendicular plane point of intersection points of contact polar pole positive produced projection proposition prove ratio reciprocal relation represented respect result right angles satisfy Schools second degree seen sides similar Similarly suppose taken tangents term theorem third three points tion touch Treatise triangle of reference values whence writing written