An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory of Projections |
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Page vii
... passing through Two given Points . ib . Equation of a Straight Line passing through the Point of Inter- section of Two given Straight Lines 13 12 . 13 . 14 . · 15 . Condition that Three Points may lie in the same Straight Line Condition ...
... passing through Two given Points . ib . Equation of a Straight Line passing through the Point of Inter- section of Two given Straight Lines 13 12 . 13 . 14 . · 15 . Condition that Three Points may lie in the same Straight Line Condition ...
Page xiii
... passing through four given points , cut any straight line in a system of points in involution . 159 27 . Orthogonal Projection EXAMPLES ib . 160 CHAPTER IX . MISCELLANEOUS PROPOSITIONS . ON THE DETERMINATION OF A CONIC FROM FIVE GIVEN ...
... passing through four given points , cut any straight line in a system of points in involution . 159 27 . Orthogonal Projection EXAMPLES ib . 160 CHAPTER IX . MISCELLANEOUS PROPOSITIONS . ON THE DETERMINATION OF A CONIC FROM FIVE GIVEN ...
Page 1
... passing through the same point . The triangle formed by these three straight lines is called the triangle of reference , its sides , lines of reference , and the distances of a point from its three sides will be called the trilinear co ...
... passing through the same point . The triangle formed by these three straight lines is called the triangle of reference , its sides , lines of reference , and the distances of a point from its three sides will be called the trilinear co ...
Page 12
... 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 straight line to be We must then have La + MB + Ny = 0 . Lf + Mg + Nh = 0 ...
... 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 straight line to be We must then have La + MB + Ny = 0 . Lf + Mg + Nh = 0 ...
Page 13
... passing through their point of intersection , may be represented by an equation of the form la + mẞ + ny = k ( l'a + m'ß + n'y ) , where k is an arbitrary constant . For this equation is satis- fied when the equations of the given ...
... passing through their point of intersection , may be represented by an equation of the form la + mẞ + ny = k ( l'a + m'ß + n'y ) , where k is an arbitrary constant . For this equation is satis- fied when the equations of the given ...
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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