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
... given Pencil . 23 . 24 . Fourth Harmonic to Three given Straight Lines 25 . Harmonic Relation of Points and Lines 26 ... Conic Sec- tion Equation of the Conic described about the Triangle of Refer- 2 , 3 . ence • Position of the Centre ...
... given Pencil . 23 . 24 . Fourth Harmonic to Three given Straight Lines 25 . Harmonic Relation of Points and Lines 26 ... Conic Sec- tion Equation of the Conic described about the Triangle of Refer- 2 , 3 . ence • Position of the Centre ...
Σελίδα ix
... 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 Line may touch the Conic ...
... 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 Line may touch the Conic ...
Σελίδα x
... Conics , similar and similarly situated to each other , intersect in the ... Parabola 21 . To find the magnitudes of the axes of the Conic 22 . To find the ... given point A is divided har- monically by any Conic Section and the polar ...
... Conics , similar and similarly situated to each other , intersect in the ... Parabola 21 . To find the magnitudes of the axes of the Conic 22 . To find the ... given point A is divided har- monically by any Conic Section and the polar ...
Σελίδα xi
... conics which touch four given straight lines have a common radical axis • Polar reciprocal of a Circle with regard to any point . Instances of Transformation of Theorems by Reciprocation with respect to a point . Corresponding Points ...
... conics which touch four given straight lines have a common radical axis • Polar reciprocal of a Circle with regard to any point . Instances of Transformation of Theorems by Reciprocation with respect to a point . Corresponding Points ...
Σελίδα xiii
... Conics , passing through four given points , cut any straight line in a system of points in involution Orthogonal ... GIVEN GEOMETRI- CAL CONDITIONS . 2 . If five points be given , one conic only can be drawn • • 160 • 3. If four points ...
... Conics , passing through four given points , cut any straight line in a system of points in involution Orthogonal ... GIVEN GEOMETRI- CAL CONDITIONS . 2 . If five points be given , one conic only can be drawn • • 160 • 3. If four points ...
Άλλες εκδόσεις - Προβολή όλων
An Elementary Treatise on Trilinear Coordinates: The Method of Reciprocal Norman MacLeod Ferrers Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2023 |
An Elementary Treatise on Trilinear Co-Ordinates N. M. Ferrers Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2019 |
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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