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

### From inside the book

Results 1-5 of 53

Page vii

Equation of a Line passing through the Point of Intersection of Two Given Straight

Lines 13

Two ...

Equation of a Line passing through the Point of Intersection of Two Given Straight

Lines 13

**Condition**that Three Points may lie in the same Straight Line ib .**Condition**that Three Straight Lines may intersect in a Point 14 14 .**Condition**thatTwo ...

Page viii

Line at Infinity 6 . Equation of the Circumscribing Circle 7 . Equation of the Conic

touching the Three Sides of the Triangle of Reference 8 . Position of the Centre .

**Condition**for a Parabola**Condition**of Tangency . Every Parabola touches theLine at Infinity 6 . Equation of the Circumscribing Circle 7 . Equation of the Conic

touching the Three Sides of the Triangle of Reference 8 . Position of the Centre .

Page ix

Multiplication of a Determinant by a given Quantity Minors of a Determinant

Pascal's Theorem EXAMPLES 65 66 ib . IO . II . ib . 68 70 CHAPTER IV . ON THE

...

Multiplication of a Determinant by a given Quantity Minors of a Determinant

**Condition**that a Quadratic Function may be resolvable into Two Factors 12 , 13.Pascal's Theorem EXAMPLES 65 66 ib . IO . II . ib . 68 70 CHAPTER IV . ON THE

...

Page xi

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 .

**Condition**for a Parabola 9 . Circular points at infinity**Conditions**for a CircleEXAMPLES 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 xii

ON THE DETERMINATION OF A CONIC FROM FIVE GIVEN GEOMETRICAL

only can be drawn If four points and one tangent be given , two conics can be

drawn ...

ON THE DETERMINATION OF A CONIC FROM FIVE GIVEN GEOMETRICAL

**CONDITIONS**. 146 28 . 29 . 147 30 . ib . . 31 . If five points be given , one coniconly can be drawn If four points and one tangent be given , two conics can be

drawn ...

### 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