An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory Projections |
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Page vii
... Equation of the First Degree 9 · 8 . 9 . 10 . 11 . Every Equation of the First Degree represents a Straight Line 11 Point of Intersection of Two Straight Lines Equation of a Straight Line passing through Two given Points . ib . Equation ...
... Equation of the First Degree 9 · 8 . 9 . 10 . 11 . Every Equation of the First Degree represents a Straight Line 11 Point of Intersection of Two Straight Lines Equation of a Straight Line passing through Two given Points . ib . Equation ...
Page viii
... EQUATION OF THE SECOND DEGREE . 1. Every Equation of the Second Degree represents a Conic Section . 2 , 3. Equation of the Conic described about the Triangle of Refer- 33 • ence 34 · · 4 . Position of the Centre . Condition for a ...
... EQUATION OF THE SECOND DEGREE . 1. Every Equation of the Second Degree represents a Conic Section . 2 , 3. Equation of the Conic described about the Triangle of Refer- 33 • ence 34 · · 4 . Position of the Centre . Condition for a ...
Page ix
... EQUATION OF THE SECOND DEGREE . 2 . 3 . To find the point in which a straight line , drawn in a given direction through a given point of the conic , meets the conic again Equation of the Tangent at a given Point . 74 75 4 , 5 . 6 ...
... EQUATION OF THE SECOND DEGREE . 2 . 3 . To find the point in which a straight line , drawn in a given direction through a given point of the conic , meets the conic again Equation of the Tangent at a given Point . 74 75 4 , 5 . 6 ...
Page x
... Equation of the nine - point Circle 92 20 . Locus of the intersection of two Tangents at right angles to one another . Directrix of a Parabola 21 . To find the magnitudes of the axes of the Conic 355 93 94 22 . To find the area of the ...
... Equation of the nine - point Circle 92 20 . Locus of the intersection of two Tangents at right angles to one another . Directrix of a Parabola 21 . To find the magnitudes of the axes of the Conic 355 93 94 22 . To find the area of the ...
Page xi
... Equations of certain points . · ib . 3 . General Equation of a Point 133 4. Identical relation between the co - ordinates of any straight Line 134 • 6 . An equation of the nth degree represents a curve of the nth class 136 7 . Equation ...
... Equations of certain points . · ib . 3 . General Equation of a Point 133 4. Identical relation between the co - ordinates of any straight Line 134 • 6 . An equation of the nth degree represents a curve of the nth class 136 7 . Equation ...
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Common terms and phrases
aa+bB+cy angular points asymptotes auxiliary conic b₁ Brianchon's Theorem C₁ centre Chap chord co-ordinates coefficients common tangents conic passing conic section determinant directrix find the equation fixed point fixed straight line focus follows four points given conic given point given straight line Hence imaginary internal bisectors investigated Let the equation line at infinity locus meets the conic nine-point circle obtain opposite sides pair parabola Pascal's Theorem perpendicular point f point of intersection points at infinity points of contact polar reciprocal projection prove radical axis reciprocal curve reciprocated with respect rectangular hyperbola represented right angles second degree similar and similarly system of conics tangents drawn theorem three points three straight lines triangle of reference ua² uf+w'g+v'h Vb² vß² W'ab Wc² whence wy²