An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory Projections |
From inside the book
Page vii
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 of
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 of
Intersection of Two Given Straight Lines 13 Condition that Three Points may lie in
the ...
Page viii
Fourth Harmonic to Three given Straight Lines 25 . Harmonic Relation of Points
and Lines 26 . ON INVOLUTION . Definitions 27—29 . Anharmonic Properties of
Points and Lines in Involution 25 26 27 29 30 ib . CHAPTER II . SPECIAL FORMS
...
Fourth Harmonic to Three given Straight Lines 25 . Harmonic Relation of Points
and Lines 26 . ON INVOLUTION . Definitions 27—29 . Anharmonic Properties of
Points and Lines in Involution 25 26 27 29 30 ib . CHAPTER II . SPECIAL FORMS
...
Page xi
Equation of certain points 3 . General Equation of a Point . Identical relation
between the co - ordinates of any straight Line 5 . An equation of the nth degree
represents a curve of the nth class 6. Equation of a Conic , touching the three
sides of ...
Equation of certain points 3 . General Equation of a Point . Identical relation
between the co - ordinates of any straight Line 5 . An equation of the nth degree
represents a curve of the nth class 6. Equation of a Conic , touching the three
sides of ...
Page xii
Any system of Points in involution projects into a system in involution , and the
foci of one system project into the foci of ... be drawn If three points and two
tangents be given , four conics can be drawn If two points and three tangents be
given ...
Any system of Points in involution projects into a system in involution , and the
foci of one system project into the foci of ... be drawn If three points and two
tangents be given , four conics can be drawn If two points and three tangents be
given ...
Page 1
... the position of a point in a plane will be determined by the ratios of its distances
from three given straight lines in that ... We shall usually denote the angular
points of the triangle of reference by the letters A , B , C , the lengths of the sides ...
... the position of a point in a plane will be determined by the ratios of its distances
from three given straight lines in that ... We shall usually denote the angular
points of the triangle of reference by the letters A , B , C , the lengths of the sides ...
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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
Bibliographic information
| Title | An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory Projections |
| Author | Norman Macleod Ferrers |
| Edition | 4 |
| Publisher | Macmillan and Company, 1861 |
| Original from | Sapienza University of Rome (Biblioteca di Matematica G. Castelnuovo) |
| Digitized | 2 May 2013 |
| Length | 184 pages |
| Export Citation | BiBTeX EndNote RefMan |