An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory of Projections |
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Page vii
... Equation of the First Degree . Every Equation of the First Degree represents a Straight Line Point of Intersection of Two Straight Lines 9 · 11 12 • 10 . 11 . Equation of a Straight Line passing through Two given Points . ib . Equation ...
... Equation of the First Degree . Every Equation of the First Degree represents a Straight Line Point of Intersection of Two Straight Lines 9 · 11 12 • 10 . 11 . 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 Sec- tion · • · 2 , 3. Equation of the Conic described about the Triangle of Refer- 33333 ence 34 · · • 4 . Position of the Centre . Condition for ...
... EQUATION OF THE SECOND DEGREE . 1. Every Equation of the Second Degree represents a Conic Sec- tion · • · 2 , 3. Equation of the Conic described about the Triangle of Refer- 33333 ence 34 · · • 4 . Position of the Centre . Condition for ...
Page ix
... Equation of the Polar of a given Point ib . 9 . Co - ordinates of the Pole of a given Straight Line 10 . · Equation of the pair of Tangents drawn to the Conic from a given external Point 80 11 . Co - ordinates of the Centre 82 12 . Equation ...
... Equation of the Polar of a given Point ib . 9 . Co - ordinates of the Pole of a given Straight Line 10 . · Equation of the pair of Tangents drawn to the Conic from a given external Point 80 11 . Co - ordinates of the Centre 82 12 . Equation ...
Page x
... Equation of the nine - point Circle 92 20 . Directrix of a Parabola . 21 . Locus of the intersection of two Tangents at right angles to one another . To find the magnitudes of the axes of the Conic 315 93 94 22 . To find the area of the ...
... Equation of the nine - point Circle 92 20 . Directrix of a Parabola . 21 . Locus of the intersection of two Tangents at right angles to one another . To find the magnitudes of the axes of the Conic 315 93 94 22 . To find the area of the ...
Page xi
... Equations of certain points General Equation of a Point • ib . 133 • Identical relation between the co - ordinates of any straight Line 134 An equation of the nth degree represents a curve of the nth class • 136 • 7 . Equation of a ...
... Equations of certain points General Equation of a Point • ib . 133 • Identical relation between the co - ordinates of any straight Line 134 An equation of the nth degree represents a curve of the nth class • 136 • 7 . Equation of a ...
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Common terms and phrases
angular points asymptotes ax+bB+cy b₁ b₂ C₁ Cambridge centre Chap co-ordinates coefficients College common tangents conic section Crown 8vo determinant directrix Edition equation Fcap find the equation fixed point follows four points given conic given point given straight line Hence imaginary investigated Let the equation line at infinity line joining locus meets the conic nine-point circle numerous Illustrations obtain opposite sides Owens College pair parabola Pascal's Theorem perpendicular point f points of intersection pole Professor prove radical axis ratios rectangular hyperbola represented respect right angles second degree shewn similar and similarly sin POS tangents tangents drawn term a,b,c theorem three straight lines tion touches the line triangle of reference Ua² ux² V'ca v'f+u'g+wh va² values Vb² vß² W. K. CLIFFORD W'ab whence wy² λα