An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory Projections |
From inside the book
Page viii
Every Equation of the Second Degree represents a Conic Section 2 , 3 . Equation
of the Conic described about the Triangle of Reference 4 . Position of the Centre .
Condition for a Parabola Condition of Tangency . Every Parabola touches the ...
Every Equation of the Second Degree represents a Conic Section 2 , 3 . Equation
of the Conic described about the Triangle of Reference 4 . Position of the Centre .
Condition for a Parabola Condition of Tangency . Every Parabola touches the ...
Page ix
ON THE CONIC REPRESENTED BY THE GENERAL EQUATION OF THE
SECOND DEGREE . 2 . 3 . 4 , 5 . 6 . 72 73 74 76 7 . 8 . To find the Point in which
a Straight Line , drawn in a given direction through a given Point of the Conic ,
meets ...
ON THE CONIC REPRESENTED BY THE GENERAL EQUATION OF THE
SECOND DEGREE . 2 . 3 . 4 , 5 . 6 . 72 73 74 76 7 . 8 . To find the Point in which
a Straight Line , drawn in a given direction through a given Point of the Conic ,
meets ...
Page x
Directrix of a Parabola To find the magnitudes of the axes of the Conic To find the
area of the Conic . ... Definition of the Triangular Co - ordinates of a Point
Formulæ relating to Straight Lines Formulæ relating to Conics 95 3 : 96
CHAPTER VI .
Directrix of a Parabola To find the magnitudes of the axes of the Conic To find the
area of the Conic . ... Definition of the Triangular Co - ordinates of a Point
Formulæ relating to Straight Lines Formulæ relating to Conics 95 3 : 96
CHAPTER VI .
Page xi
Equation of a Conic , touching the three sides of the triangle of reference 7 .
Equation of circumscribed Conic 8 . Equation of the Pole of a given straight line ,
and of the centre . Condition for a Parabola 9 . Circular points at infinity
Conditions for ...
Equation of a Conic , touching the three sides of the triangle of reference 7 .
Equation of circumscribed Conic 8 . Equation of the Pole of a given straight line ,
and of the centre . Condition for a Parabola 9 . Circular points at infinity
Conditions for ...
Page xii
Any two intersecting conics may be projected into hyperbolas of any assigned
eccentricity ib . 18 . Any two conics may be projected into conics of any
eccentricity , or into circles 141 19 . Projection of the foci and directrices of a
Conic ib .
Any two intersecting conics may be projected into hyperbolas of any assigned
eccentricity ib . 18 . Any two conics may be projected into conics of any
eccentricity , or into circles 141 19 . Projection of the foci and directrices of a
Conic ib .
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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 |