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

### From inside the book

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Page vii

DEFINITION of Trilinear Co - ordinates Identical relation between the Trilinear Co

- ordinates of a Point ib . 3 . Distance between two given Points 4-6 . Investigation

...

**EQUATION**OF A STRAIGHT LINE . ARTE , PAGE I. I 2 . 4 II I 2 . 10 . II . I 2 . 13 .DEFINITION of Trilinear Co - ordinates Identical relation between the Trilinear Co

- ordinates of a Point ib . 3 . Distance between two given Points 4-6 . Investigation

...

Page viii

Every

of the Conic ... Condition of Tangency

the Three Sides of the Triangle of Reference 11–15 .

Every

**Equation**of the Second Degree represents a Conic Section 2 , 3 .**Equation**of the Conic ... Condition of Tangency

**Equations**of the Four Circles which touchthe Three Sides of the Triangle of Reference 11–15 .

**Equation**involving the ... Page ix

ELIMINATION BETWEEN LINEAR

. Definition of a ... IO . II . ib . 68 70 CHAPTER IV . ON THE CONIC

REPRESENTED BY THE GENERAL

3 . 4 , 5 . 6 .

ELIMINATION BETWEEN LINEAR

**EQUATIONS**. ARTS . 2 . PAGE 58 3–6 . 59 64. Definition of a ... IO . II . ib . 68 70 CHAPTER IV . ON THE CONIC

REPRESENTED BY THE GENERAL

**EQUATION**OF THE SECOND DEGREE . 2 .3 . 4 , 5 . 6 .

Page xi

between the co - ordinates of any straight Line 5 . An

represents a curve of the nth class 6.

sides of ...

**Equation**of certain points 3 . General**Equation**of a Point . Identical relationbetween the co - ordinates of any straight Line 5 . An

**equation**of the nth degreerepresents a curve of the nth class 6.

**Equation**of a Conic , touching the threesides of ...

Page 1

The Method of Reciprocal Polars, and the Theory Projections Norman Macleod

Ferrers. CHAPTER I. TRILINEAR CO - ORDINATES .

STRAIGHT LINE . 1 . In the system of co - ordinates ordinarily used , the position

of a point ...

The Method of Reciprocal Polars, and the Theory Projections Norman Macleod

Ferrers. CHAPTER I. TRILINEAR CO - ORDINATES .

**EQUATION**OF ASTRAIGHT LINE . 1 . In the system of co - ordinates ordinarily used , the position

of a point ...

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### 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