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 viii
... Parabola 33 · 34 · 5 . 7 . 8 . 9 . IO . 62 6 . Condition of Tangency . Every Parabola touches the Line at Infinity . 35 • 37 Equation of the Circumscribing Circle Equation of the Conic touching the Three Sides of the Triangle of ...
... Parabola 33 · 34 · 5 . 7 . 8 . 9 . IO . 62 6 . Condition of Tangency . Every Parabola touches the Line at Infinity . 35 • 37 Equation of the Circumscribing Circle Equation of the Conic touching the Three Sides of the Triangle of ...
Σελίδα ix
... Parabola 7 . Lines 8 . 9 . JO . given external Point JI . . Condition that the Conic may break up into Two Straight • · Equation of the Polar of a given Point Co - ordinates of the Pole of a given Straight Line Equation of the pair of ...
... Parabola 7 . Lines 8 . 9 . JO . given external Point JI . . Condition that the Conic may break up into Two Straight • · Equation of the Polar of a given Point Co - ordinates of the Pole of a given Straight Line Equation of the pair of ...
Σελίδα x
... Parabola 21 . To find the magnitudes of the axes of the Conic 22 . To find the area of the Conic . Criterion to distinguish between an Ellipse and an Hyperbola · • 96 EXAMPLES • • 97 83 85 92 93 CHAPTER V. TRIANGULAR CO - ORDINATES . 1 ...
... Parabola 21 . To find the magnitudes of the axes of the Conic 22 . To find the area of the Conic . Criterion to distinguish between an Ellipse and an Hyperbola · • 96 EXAMPLES • • 97 83 85 92 93 CHAPTER V. TRIANGULAR CO - ORDINATES . 1 ...
Σελίδα xi
... of the centre . • • 135 ib . · • 137 Condition for a Parabola 10 . Circular points at infinity Conditions for a Circle 138 ib . • 139 II . Self - conjugate Conic a 140 ARTS . EXAMPLES 12. Tangential rectangular Co - ordinates 15.
... of the centre . • • 135 ib . · • 137 Condition for a Parabola 10 . Circular points at infinity Conditions for a Circle 138 ib . • 139 II . Self - conjugate Conic a 140 ARTS . EXAMPLES 12. Tangential rectangular Co - ordinates 15.
Σελίδα 36
... para- bola . For , since the centre of a parabola is at an infinite distance , its co - ordinates will satisfy the equation aa + bB + cy = 0 . We hence obtain the following equation : - X2a2 + μ3b2 + v2c2 - 2 μvbc — 2vλca — 2λμ ab = 0 ...
... para- bola . For , since the centre of a parabola is at an infinite distance , its co - ordinates will satisfy the equation aa + bB + cy = 0 . We hence obtain the following equation : - X2a2 + μ3b2 + v2c2 - 2 μvbc — 2vλca — 2λμ ab = 0 ...
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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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