An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory of Projections |
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Page vii
... Points 4-6 . Investigation of Equations of certain Straight Lines . 6 7 . Every Straight Liue may be represented by ... Three Points may lie in the same Straight Line Condition that Three Straight Lines may intersect in a Point Condition ...
... Points 4-6 . Investigation of Equations of certain Straight Lines . 6 7 . Every Straight Liue may be represented by ... Three Points may lie in the same Straight Line Condition that Three Straight Lines may intersect in a Point Condition ...
Page viii
... Three given Straight Lines 25 . Harmonic Relation of Points and Lines 26 . ON INVOLUTION . Definitions PAGE 25 26 27 29 30 ib . 27-29 . Anharmonic Properties of Points and Lines in Involution CHAPTER II . SPECIAL FORMS OF THE EQUATION ...
... Three given Straight Lines 25 . Harmonic Relation of Points and Lines 26 . ON INVOLUTION . Definitions PAGE 25 26 27 29 30 ib . 27-29 . Anharmonic Properties of Points and Lines in Involution CHAPTER II . SPECIAL FORMS OF THE EQUATION ...
Page xi
... Point • xi PAGE 115 ib . · ΓΙ 118 24 . The three circles described on the diagonals of a complete quad- rilateral as diameters have a common radical axis · Foci of a quadrilateral ་ ་ ib . ib . . 25 . 28 . 29 . 30 . 31 . Orthocentre of ...
... Point • xi PAGE 115 ib . · ΓΙ 118 24 . The three circles described on the diagonals of a complete quad- rilateral as diameters have a common radical axis · Foci of a quadrilateral ་ ་ ib . ib . . 25 . 28 . 29 . 30 . 31 . Orthocentre of ...
Page xiii
... points on , or any four tangents to , a conic , is constant . Any system of points in involution projects into a ... three points and two tangents be given , four conics can be drawn · ib . • 5. If two points and three tangents be given ...
... points on , or any four tangents to , a conic , is constant . Any system of points in involution projects into a ... three points and two tangents be given , four conics can be drawn · ib . • 5. If two points and three tangents be given ...
Page xiv
... three points , forming a conjugate triad 18. Envelope of a side of an inscribed triangle whose other sides pass each through a fixed point 19. Locus of a vertex of a circumscribed triangle , whose other vertices move each along a fixed ...
... three points , forming a conjugate triad 18. Envelope of a side of an inscribed triangle whose other sides pass each through a fixed point 19. Locus of a vertex of a circumscribed triangle , whose other vertices move each along a fixed ...
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Common terms and phrases
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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