An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory of Projections |
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Page vii
... Point of Intersection of Two Straight Lines 9 · 11 12 • 10 . 11 . Equation of a Straight Line passing through Two given Points . ib . Equation of a Straight Line passing through the Point of Inter- section of Two given Straight Lines 13 ...
... Point of Intersection of Two Straight Lines 9 · 11 12 • 10 . 11 . Equation of a Straight Line passing through Two given Points . ib . Equation of a Straight Line passing through the Point of Inter- section of Two given Straight Lines 13 ...
Page x
... points in the line at infinity Radical axis of two similar and similarly situated Conics Property of the nine - point ... intersection of two Tangents at right angles to one another . To find the magnitudes of the axes of the Conic 315 93 94 ...
... points in the line at infinity Radical axis of two similar and similarly situated Conics Property of the nine - point ... intersection of two Tangents at right angles to one another . To find the magnitudes of the axes of the Conic 315 93 94 ...
Page xii
... INTERSECTION OF CONICS , AND ON PROJECTIONS . Any two conics intersect in four points , real or imaginary . Vertices of the quadrangle formed by these points If the four points of intersection be all real , or all imaginary , all the ...
... INTERSECTION OF CONICS , AND ON PROJECTIONS . Any two conics intersect in four points , real or imaginary . Vertices of the quadrangle formed by these points If the four points of intersection be all real , or all imaginary , all the ...
Page 12
... point of intersection . 10. To find the equation of the straight line , passing through two given points . Let f , g , h ; f ' , g ' , h ' , be the co - ordinates of the two given points , and suppose the equation of the required ...
... point of intersection . 10. To find the equation of the straight line , passing through two given points . Let f , g , h ; f ' , g ' , h ' , be the co - ordinates of the two given points , and suppose the equation of the required ...
Page 13
... point of intersection . 12. To find the condition that three points may lie in the same straight line . 1 2 Let α1 , B1 , Y1 ; α2 , B2 , Y2 ; ag , B3 , Y ,, be the co - ordinates of the three given points , then , if these points lie in ...
... point of intersection . 12. To find the condition that three points may lie in the same straight line . 1 2 Let α1 , B1 , Y1 ; α2 , B2 , Y2 ; ag , B3 , Y ,, be the co - ordinates of the three given points , then , if these points lie in ...
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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