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

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Page vii

Point of Intersection of Two Straight Lines Equation of a Straight Line

through Two given Points ib . Equation of a Line

Intersection of Two Given Straight Lines 13 Condition that Three Points may lie in

the ...

Point of Intersection of Two Straight Lines Equation of a Straight Line

**passing**through Two given Points ib . Equation of a Line

**passing**through the Point ofIntersection of Two Given Straight Lines 13 Condition that Three Points may lie in

the ...

Page xii

... or any four tangents to , a conic , is constant 144 23 , 24. Any system of Points

in involution projects into a system in involution , and the foci of one system

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

given ...

... or any four tangents to , a conic , is constant 144 23 , 24. Any system of Points

in involution projects into a system in involution , and the foci of one system

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

**passing**through fourgiven ...

Page 1

In the system of which we are about to treat , the position of a point in a plane will

be determined by the ratios of its distances from three given straight lines in that

plane , these straight lines not

In the system of which we are about to treat , the position of a point in a plane will

be determined by the ratios of its distances from three given straight lines in that

plane , these straight lines not

**passing**through the same point . The triangle ... Page 12

To find the equation of the straight line ,

g , h ; f'og ' , h ' , be the co - ordinates of the two given points , and suppose the

equation of the required straight line to be La + MB + Ny = 0 . We must then have

...

To find the equation of the straight line ,

**passing**through two given points . Let f ,g , h ; f'og ' , h ' , be the co - ordinates of the two given points , and suppose the

equation of the required straight line to be La + MB + Ny = 0 . We must then have

...

Page 13

To find the general equation of a straight line ,

intersection of two given straight lines . If the equations of the straight lines be la +

mß + ny = 0 , l'a + m ' B + ny = 0 , every straight line ,

of ...

To find the general equation of a straight line ,

**passing**through the point ofintersection of two given straight lines . If the equations of the straight lines be la +

mß + ny = 0 , l'a + m ' B + ny = 0 , every straight line ,

**passing**through their pointof ...

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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