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

### From inside the book

Results 1-5 of 26

Page viii

... the Conic which touches two sides of the Triangle of Reference in the points

where they meet the third Any Chord of a Conic is divided harmonically by the

Conic , any Point , and its

24 .

... the Conic which touches two sides of the Triangle of Reference in the points

where they meet the third Any Chord of a Conic is divided harmonically by the

Conic , any Point , and its

**Polar**23 Equation of a Line joining Two given Points .24 .

Page ix

... meets the Curve again Equation of the Tangent at a given Point Condition that

a given Straight Line may touch the Conic Condition for a Parabola . Condition

that the Conic may break up into Two Straight Lines . Equation of the

... meets the Curve again Equation of the Tangent at a given Point Condition that

a given Straight Line may touch the Conic Condition for a Parabola . Condition

that the Conic may break up into Two Straight Lines . Equation of the

**Polar**of a ... Page x

Definition of a

of its reciprocal , and vice versa 6 , 7. The

Equation of the

Definition of a

**Polar**Reciprocal 5 . The degree of a curve is the same as the classof its reciprocal , and vice versa 6 , 7. The

**polar**reciprocal of a conic is a conic 8 .Equation of the

**Polar**Reciprocal of one Conic with regard to another Instances ... Page xi

Condition for a Parabola 9 . Circular points at infinity Conditions for a Circle

EXAMPLES II - 13 . Tangential rectangular Co - ordinates 14 . Tangential

Co - ordinates EXAMPLES 125 126 IO . 127 ib . 128 129 130 132 ib . . CHAPTER

VIII .

Condition for a Parabola 9 . Circular points at infinity Conditions for a Circle

EXAMPLES II - 13 . Tangential rectangular Co - ordinates 14 . Tangential

**polar**Co - ordinates EXAMPLES 125 126 IO . 127 ib . 128 129 130 132 ib . . CHAPTER

VIII .

Page 46

Similarly , C , AB , stand to one another in the relation of pole and

since the pole of AB is the point C , and the pole of AC is the point B , it follows

that the line joining B and C is the

...

Similarly , C , AB , stand to one another in the relation of pole and

**polar**. Again ,since the pole of AB is the point C , and the pole of AC is the point B , it follows

that the line joining B and C is the

**polar**of the point of intersection of AB , AC , i.e....

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Other editions - View all

### 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