An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory Projections |
From inside the book
Results 1-5 of 41
Page vii
... 3 . Identical relation between the Trilinear Co - ordinates of a Point ib . Distance between two given Points 4 4-6 . Investigation of Equations of certain Straight Lines 6 7 . . Every Straight Line may be represented by an Equation of ...
... 3 . Identical relation between the Trilinear Co - ordinates of a Point ib . Distance between two given Points 4 4-6 . Investigation of Equations of certain Straight Lines 6 7 . . Every Straight Line may be represented by an Equation of ...
Page viii
... Three given Straight Lines 25 . Harmonic Relation of Points and Lines • 26 . ON INVOLUTION . Definitions PAGE 25 • 26 27 28 30 . 31 27-29 . Anharmonic Properties of Points and Lines in Involution CHAPTER II . SPECIAL FORMS OF THE ...
... Three given Straight Lines 25 . Harmonic Relation of Points and Lines • 26 . ON INVOLUTION . Definitions PAGE 25 • 26 27 28 30 . 31 27-29 . Anharmonic Properties of Points and Lines in Involution CHAPTER II . SPECIAL FORMS OF THE ...
Page xi
... three circles described on the diagonals of a complete quadrilateral as ... Points and Lines . The angle between the radius vector and tangent in any ... points . · ib . 3 . General Equation of a Point 133 4. Identical relation between ...
... three circles described on the diagonals of a complete quadrilateral as ... Points and Lines . The angle between the radius vector and tangent in any ... points . · ib . 3 . General Equation of a Point 133 4. Identical relation between ...
Page xiii
... points on , or any four tan- gents to , a conic , is constant PAGE 158 • Any system of points in involution projects ... three points and two tangents be given , four conics can be drawn 163 5 . If two points and three tangents be given ...
... points on , or any four tan- gents to , a conic , is constant PAGE 158 • Any system of points in involution projects ... three points and two tangents be given , four conics can be drawn 163 5 . If two points and three tangents be given ...
Page xiv
... three points , forming a con- 171 • 18 . jugate triad . Envelope of a side of an inscribed triangle whose other sides pass each through a fixed point • · 173 · 174 19 . 20 . Locus of a vertex of a circumscribed triangle , whose other ...
... three points , forming a con- 171 • 18 . jugate triad . Envelope of a side of an inscribed triangle whose other sides pass each through a fixed point • · 173 · 174 19 . 20 . Locus of a vertex of a circumscribed triangle , whose other ...
Other editions - View all
Common terms and phrases
aa+bB+cy angular points asymptotes auxiliary conic b₁ Brianchon's Theorem C₁ centre Chap chord co-ordinates coefficients common tangents conic passing conic section determinant directrix find the equation fixed point fixed straight line focus follows four points given conic given point given straight line Hence imaginary internal bisectors investigated Let the equation line at infinity locus meets the conic nine-point circle obtain opposite sides pair parabola Pascal's Theorem perpendicular point f point of intersection points at infinity points of contact polar reciprocal projection prove radical axis reciprocal curve reciprocated with respect rectangular hyperbola represented right angles second degree similar and similarly system of conics tangents drawn theorem three points three straight lines triangle of reference ua² uf+w'g+v'h Vb² vß² W'ab Wc² whence wy²