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
... EXAMPLES 21 19 . ANHARMONIC RATIO . Definitions 23 20 . The Anharmonic Ratio of a Pencil is equal to that of the range in which it is cut by any Transversal ib . 21 . Definition of an Harmonic Pencil 2335 25 ARTS . 22 . The Bisectors of ...
... EXAMPLES 21 19 . ANHARMONIC RATIO . Definitions 23 20 . The Anharmonic Ratio of a Pencil is equal to that of the range in which it is cut by any Transversal ib . 21 . Definition of an Harmonic Pencil 2335 25 ARTS . 22 . The Bisectors of ...
Σελίδα viii
... at a given Point ib . • 54 25 . 26 . 27 . Pole of a given Straight Line Condition of Tangency . Condition for a Parabola Co - ordinates of the Centre ib . ib . • 55 EXAMPLES 56 CONTENTS . ix ARTS . 2 . CHAPTER III . viii CONTENTS .
... at a given Point ib . • 54 25 . 26 . 27 . Pole of a given Straight Line Condition of Tangency . Condition for a Parabola Co - ordinates of the Centre ib . ib . • 55 EXAMPLES 56 CONTENTS . ix ARTS . 2 . CHAPTER III . viii CONTENTS .
Σελίδα ix
... EXAMPLES 71 CHAPTER IV . ON THE CONIC REPRESENTED BY THE GENERAL EQUATION OF THE SECOND DEGREE . 2. To find the point in which a straight line , drawn in a given 3 . direction through a given point of the conic , meets the conic again ...
... EXAMPLES 71 CHAPTER IV . ON THE CONIC REPRESENTED BY THE GENERAL EQUATION OF THE SECOND DEGREE . 2. To find the point in which a straight line , drawn in a given 3 . direction through a given point of the conic , meets the conic again ...
Σελίδα x
... EXAMPLES • • 97 83 85 92 93 CHAPTER V. TRIANGULAR CO - ORDINATES . 1 . Definition of the Triangular Co - ordinates of a Point 99 2. Formulæ relating to Straight Lines . 3. Formulæ relating to Conics 100 ΙΟΙ 6 , 7 . 8 . CHAPTER VI ...
... EXAMPLES • • 97 83 85 92 93 CHAPTER V. TRIANGULAR CO - ORDINATES . 1 . Definition of the Triangular Co - ordinates of a Point 99 2. Formulæ relating to Straight Lines . 3. Formulæ relating to Conics 100 ΙΟΙ 6 , 7 . 8 . CHAPTER VI ...
Σελίδα xi
... EXAMPLES • 127 ib . 119 120 ib . CHAPTER VII . TANGENTIAL CO - ORDINATES . I. Definition of the Tangential Co - ordinates of a Straight Line • 130 2. Interpretation of the Negative Sign . Equations of certain points 131 3. General ...
... EXAMPLES • 127 ib . 119 120 ib . CHAPTER VII . TANGENTIAL CO - ORDINATES . I. Definition of the Tangential Co - ordinates of a Straight Line • 130 2. Interpretation of the Negative Sign . Equations of certain points 131 3. General ...
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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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