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

### From inside the book

Results 1-5 of 27

Page viii

Definitions 27—29 . Anharmonic Properties of

26 27 29 30 ib . ... Condition of Tangency Equations of the

touch the Three Sides of the Triangle of Reference 11–15 . Equation involving

the ...

Definitions 27—29 . Anharmonic Properties of

**Points**and Lines in Involution 2526 27 29 30 ib . ... Condition of Tangency Equations of the

**Four**Circles whichtouch the Three Sides of the Triangle of Reference 11–15 . Equation involving

the ...

Page x

Definition of the Triangular Co - ordinates of a

Lines Formulæ relating to Conics 95 3 ... The anharmonic ratio of the Pencil ,

formed by

by ...

Definition of the Triangular Co - ordinates of a

**Point**Formulæ relating to StraightLines Formulæ relating to Conics 95 3 ... The anharmonic ratio of the Pencil ,

formed by

**four**intersecting straight lines , is the same as that of the range formedby ...

Page xi

CHAPTER VIII . ON THE INTERSECTION OF CONICS , ON PROJECTIONS ,

AND ON THE ERMINATION OF A CONIC FROM FIVE GIVEN GEOMETRICAL

CONDITIONS . 134 135 1-3 . Any two conics intersect in

imaginary ...

CHAPTER VIII . ON THE INTERSECTION OF CONICS , ON PROJECTIONS ,

AND ON THE ERMINATION OF A CONIC FROM FIVE GIVEN GEOMETRICAL

CONDITIONS . 134 135 1-3 . Any two conics intersect in

**four points**, real orimaginary ...

Page xii

Any system of

foci of one system project into the foci of the other ib . 25 A system of Conics ,

passing through

Any system of

**Points**in involution projects into a system in involution , and thefoci of one system project into the foci of the other ib . 25 A system of Conics ,

passing through

**four**given**points**, cut any straight line in a system of**points**in ... Page 23

DEF . 1. If OP , OQ , OR , OS be

sin POQ.sin ROS sin POS.sin QOR is called the ... In using these definitions ,

attention must be paid to the order in which the lines or

.

DEF . 1. If OP , OQ , OR , OS be

**four**straight lines intersecting in a**point**, the ratiosin POQ.sin ROS sin POS.sin QOR is called the ... In using these definitions ,

attention must be paid to the order in which the lines or

**points**follow one another.

### 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 appears Author become BOOKS called Cambridge centre Chap chapter chord circle cloth co-ordinates coefficients coincide College common condition conic conic section considered constant corresponding Crown 8vo curve denoted described determine distance draw drawn eliminating equal equation Examples expressed find the equation fixed point focus follows given point given straight line gives harmonic Hence imaginary line at infinity locus meet observed obtained opposite sides pair parabola parallel passing pencil perpendicular point of intersection points of contact polar pole positive produced projection prove ratio reciprocal relation represented respect result right angles satisfy Schools second degree sides similar Similarly student taken tangents term theorem third three points tion touch Treatise triangle of reference values whence writing written