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
... Centre . Condition for a 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 ...
... Centre . Condition for a 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 ...
Σελίδα ix
... pair of Tangents , drawn to the Conic from a Co - ordinates of the Centre 13 . 14 . 23+ 12 . Equation of the Asymptotes Condition for a Rectangular Hyperbola Conditions for a Circle 33 ARTS . PAGE 15 . 16 . All Circles.
... pair of Tangents , drawn to the Conic from a Co - ordinates of the Centre 13 . 14 . 23+ 12 . Equation of the Asymptotes Condition for a Rectangular Hyperbola Conditions for a Circle 33 ARTS . PAGE 15 . 16 . All Circles.
Σελίδα xi
... 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.
... 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 xiii
... CENTRE OF A SYSTEM OF CONICS WHICH SATISFY FOUR CONDITIONS . II . Four points given 12. Three points and a tangent 13. Two points and two tangents 14. One point and three tangents 15. Four tangents · 163 165 • 166 167 169 SUPPLEMENTARY ...
... CENTRE OF A SYSTEM OF CONICS WHICH SATISFY FOUR CONDITIONS . II . Four points given 12. Three points and a tangent 13. Two points and two tangents 14. One point and three tangents 15. Four tangents · 163 165 • 166 167 169 SUPPLEMENTARY ...
Σελίδα 4
... centres of the escribed circles ? 4. The co - ordinates of the centre of gravity are 24 2A 2A • , За 36 3с 5. Prove that a sin A + ẞ sin B + y sin C is equal to where R is the radius of the circumscribing circle . 3. To find the ...
... centres of the escribed circles ? 4. The co - ordinates of the centre of gravity are 24 2A 2A • , За 36 3с 5. Prove that a sin A + ẞ sin B + y sin C is equal to where R is the radius of the circumscribing circle . 3. To find the ...
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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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