An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory of Projections |
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Page iii
... REV . N. M. FERRERS , M.A. FELLOW AND TUTOR OF GONVILLE AND CAIUS COLLEGE . Geo . W. Evans THIRD EDITION . London : MACMILLAN AND CO . [ All Rights reserved . ] 46 * 217 Cambridge : PRINTED BY C. J. CLAY 1876 . AN ELEMENTARY TREATISE.
... REV . N. M. FERRERS , M.A. FELLOW AND TUTOR OF GONVILLE AND CAIUS COLLEGE . Geo . W. Evans THIRD EDITION . London : MACMILLAN AND CO . [ All Rights reserved . ] 46 * 217 Cambridge : PRINTED BY C. J. CLAY 1876 . AN ELEMENTARY TREATISE.
Page vi
... Third Edition , I have rewritten some articles where the demonstrations were imperfect or obscure , and have added some examples , taken from various Cambridge Examination papers . DECEMBER , 1875 , CONTENTS . CHAPTER I. TRILINEAR CO ...
... Third Edition , I have rewritten some articles where the demonstrations were imperfect or obscure , and have added some examples , taken from various Cambridge Examination papers . DECEMBER , 1875 , CONTENTS . CHAPTER I. TRILINEAR CO ...
Page viii
... third Any Chord of a Conic is divided harmonically by the Conic , any Point , and its Polar • Equation of a Line joining Two given Points Equation of the Tangent at a given Point Pole of a given Straight Line . 51 F 52 53 ib . 54 • ib ...
... third Any Chord of a Conic is divided harmonically by the Conic , any Point , and its Polar • Equation of a Line joining Two given Points Equation of the Tangent at a given Point Pole of a given Straight Line . 51 F 52 53 ib . 54 • ib ...
Page 15
... third is equal to either of them . Multiplying the numerators and denominators of the several members of ( 3 ) by l ' , m ' , n ' and adding , we obtain the condition under the form ( mn ' — m'n ) a + ( nl ′ ' — n'l ) b + ( lm ' — I'm ) ...
... third is equal to either of them . Multiplying the numerators and denominators of the several members of ( 3 ) by l ' , m ' , n ' and adding , we obtain the condition under the form ( mn ' — m'n ) a + ( nl ′ ' — n'l ) b + ( lm ' — I'm ) ...
Page 21
... the straight line joining the middle points of two sides of the triangle of reference ; and thence prove that it is parallel to the third side . 2. Find the equations of the straight lines , drawn DISTANCE FROM A POINT TO A LINE . 21.
... the straight line joining the middle points of two sides of the triangle of reference ; and thence prove that it is parallel to the third side . 2. Find the equations of the straight lines , drawn DISTANCE FROM A POINT TO A LINE . 21.
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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