An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory of ProjectionsMacmillan, 1866 - 182 σελίδες |
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Σελίδα vii
... A STRAIGHT LINE . ARTS . PAGE I. DEFINITION of Trilinear Co - ordinates . I 2 . 3 . Identical relation between the Trilinear Co - ordinates of a Point ib . Distance between two given Points 4-6 . Investigation of Equations of certain ...
... A STRAIGHT LINE . ARTS . PAGE I. DEFINITION of Trilinear Co - ordinates . I 2 . 3 . Identical relation between the Trilinear Co - ordinates of a Point ib . Distance between two given Points 4-6 . Investigation of Equations of certain ...
Σελίδα viii
... Lines containing it , an Harmonic Pencil . Anharmonic Ratio of a given Pencil . 23 . 24 . Fourth Harmonic to Three given Straight Lines 25 . Harmonic Relation of Points and Lines 26 . ON INVOLUTION . Definitions PAGE 25 26 27 29 30 ib ...
... Lines containing it , an Harmonic Pencil . Anharmonic Ratio of a given Pencil . 23 . 24 . Fourth Harmonic to Three given Straight Lines 25 . Harmonic Relation of Points and Lines 26 . ON INVOLUTION . Definitions PAGE 25 26 27 29 30 ib ...
Σελίδα ix
... a straight line , drawn in a given 3 . direction through a given point of the conic , meets the conic again Equation of the Tangent at a given Point 72 74 75 · 77 ib . ib . 78 79 81 • 82 • 83 85 4 , 5 . 6 . Condition that a given Straight ...
... a straight line , drawn in a given 3 . direction through a given point of the conic , meets the conic again Equation of the Tangent at a given Point 72 74 75 · 77 ib . ib . 78 79 81 • 82 • 83 85 4 , 5 . 6 . Condition that a given Straight ...
Σελίδα x
... right angles to one another . Directrix of a Parabola 21 . To find the magnitudes ... Straight Lines . 3. Formulæ relating to Conics 100 ΙΟΙ 6 , 7 . 8 . CHAPTER ... line drawn through a given point A is divided har- monically by any Conic ...
... right angles to one another . Directrix of a Parabola 21 . To find the magnitudes ... Straight Lines . 3. Formulæ relating to Conics 100 ΙΟΙ 6 , 7 . 8 . CHAPTER ... line drawn through a given point A is divided har- monically by any Conic ...
Σελίδα xi
... straight lines form an harmonic pencil , either pair will be its own polar ... given straight lines have a common radical axis • Polar reciprocal of a ... Line • 130 2. Interpretation of the Negative Sign . Equations of certain points 131 ...
... straight lines form an harmonic pencil , either pair will be its own polar ... given straight lines have a common radical axis • Polar reciprocal of a ... Line • 130 2. Interpretation of the Negative Sign . Equations of certain points 131 ...
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An Elementary Treatise on Trilinear Co-Ordinates, the Method of Reciprocal ... Norman MacLeod Ferrers Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
aa+bB+cy angular points anharmonic ratio asymptotes b₁ b₂ centre Chap chord coefficients common tangents condition of tangency conic section Crown 8vo curve determine directrix distance escribed circles Fcap find the equation fixed point foci focus four points given conic given point given straight line harmonic pencil Hence imaginary internal bisectors investigated Let the equation line at infinity line joining locus meets the conic nine-point circle obtain opposite sides pair parabola parallel Pascal's Theorem perpendicular point f point of intersection points at infinity points of contact pole prove radical axis reciprocated with respect rectangular hyperbola represented right angles second degree sin POS tangents tangents drawn theorem three points three straight lines touches the line triangle of reference ua² V'ca values vß² W'ab whence wy² λα
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