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
... CONIC SECTIONS . SOLUTIONS . Crown 8vo . 48. 6d . Third Edition , crown 8vo . cloth , 48. 6d . MR PUCKLE'S TREATISE ON CONIC SECTIONS AND ALGEBRAIC GEOMETRY . Second Edition , crown 8vo . cloth , 78. 6d . MR PHEAR'S ELEMENTARY TREATISE ...
... CONIC SECTIONS . SOLUTIONS . Crown 8vo . 48. 6d . Third Edition , crown 8vo . cloth , 48. 6d . MR PUCKLE'S TREATISE ON CONIC SECTIONS AND ALGEBRAIC GEOMETRY . Second Edition , crown 8vo . cloth , 78. 6d . MR PHEAR'S ELEMENTARY TREATISE ...
Σελίδα viii
... Conic Sec- tion Equation of the Conic described about the Triangle of Refer- 2 , 3 . ence • Position of the Centre . Condition for a Parabola 33 · 34 · 5 . 7 . 8 . 9 . IO . 62 6 . Condition of Tangency . Every Parabola touches the Line ...
... Conic Sec- tion Equation of the Conic described about the Triangle of Refer- 2 , 3 . ence • Position of the Centre . Condition for a Parabola 33 · 34 · 5 . 7 . 8 . 9 . IO . 62 6 . Condition of Tangency . Every Parabola touches the Line ...
Σελίδα ix
... 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 Line may touch the Conic Condition for a Parabola 7 . Lines 8 . 9 . JO ...
... 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 Line may touch the Conic Condition for a Parabola 7 . Lines 8 . 9 . JO ...
Σελίδα x
... conic is a conic • Equation of the Polar Reciprocal of one Conic with regard to another • 104 • 105 • тоб • ib . 108 III IO . Instances of Transformation 12 . Brianchon's Theorem 13 . 15 . • • • • The anharmonic ratio of the Pencil ...
... conic is a conic • Equation of the Polar Reciprocal of one Conic with regard to another • 104 • 105 • тоб • ib . 108 III IO . Instances of Transformation 12 . Brianchon's Theorem 13 . 15 . • • • • The anharmonic ratio of the Pencil ...
Σελίδα xi
... Conic 122 124 33 . 125 34 . Double application of the Method of Reciprocal Polars EXAMPLES • 127 ib . 119 120 ib ... Conic , touching the three sides of the triangle of reference 8. Equation of circumscribed Conic 9. Equation of the Pole ...
... Conic 122 124 33 . 125 34 . Double application of the Method of Reciprocal Polars EXAMPLES • 127 ib . 119 120 ib ... Conic , touching the three sides of the triangle of reference 8. Equation of circumscribed Conic 9. Equation of the Pole ...
Άλλες εκδόσεις - Προβολή όλων
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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