An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory of Projections |
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Page vii
... 3 . · 4-6 . 7 . Identical relation between the Trilinear Co - ordinates of a Point ib . Distance between two given Points • Investigation of Equations of certain Straight Lines Every Straight Line may be represented by an Equation of ...
... 3 . · 4-6 . 7 . Identical relation between the Trilinear Co - ordinates of a Point ib . Distance between two given Points • Investigation of Equations of certain Straight Lines Every Straight Line may be represented by an Equation of ...
Page viii
... Three given Straight Lines • 27 25 . Harmonic Relation of Points and Lines 29 • 26 . ON INVOLUTION . Definitions 30 · · • 27-29 . Anharmonic Properties of Points and Lines in Involution 31 · 3383 CHAPTER II . SPECIAL FORMS OF THE ...
... Three given Straight Lines • 27 25 . Harmonic Relation of Points and Lines 29 • 26 . ON INVOLUTION . Definitions 30 · · • 27-29 . Anharmonic Properties of Points and Lines in Involution 31 · 3383 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 • 3 . General Equation of a Point ☛ 4 . 6 . -ல் CHAPTER VII , TANGENTIAL ...
... 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 • 3 . General Equation of a Point ☛ 4 . 6 . -ல் CHAPTER VII , TANGENTIAL ...
Page xiii
... points , cut any straight line in a system of points in involution . Orthogonal Projection 159 ib . 0 EXAMPLES 160 CHAPTER IX . 2 . 3 . 4 . • • · MISCELLANEOUS PROPOSITIONS . ON THE DETERMINATION OF A CONIC FROM FIVE GIVEN GEOMETRICAL ...
... points , cut any straight line in a system of points in involution . Orthogonal Projection 159 ib . 0 EXAMPLES 160 CHAPTER IX . 2 . 3 . 4 . • • · MISCELLANEOUS PROPOSITIONS . ON THE DETERMINATION OF A CONIC FROM FIVE GIVEN GEOMETRICAL ...
Page xiv
... three points , forming a cón- jugate triad 171 • · 173 · 18 . 19 . Envelope of a side of an inscribed triangle whose other sides pass each through a fixed point , Locus of a vertex of a circumscribed triangle , whose other ver- • 174 20 ...
... three points , forming a cón- jugate triad 171 • · 173 · 18 . 19 . Envelope of a side of an inscribed triangle whose other sides pass each through a fixed point , Locus of a vertex of a circumscribed triangle , whose other ver- • 174 20 ...
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Common terms and phrases
angular points anharmonic ratio asymptotes auxiliary conic b₁ b₂ C₁ centre Chap chord co-ordinates coefficients common tangents conic section determinant directrix find the equation fixed point fixed straight line follows four points given conic given point given straight line given triangle Hence investigated Let the equation line at infinity line joining locus meets the conic nine-point circle obtain opposite sides parabola Pascal's Theorem perpendicular point f points at infinity points of contact points of intersection PQRS prove radical axis reciprocal curve reciprocated with respect rectangular hyperbola represented right angles second degree shewn similar and similarly sin POS tangents drawn term a,b,c theorem three points three straight lines triangle of reference ua² uf+w'g+v'h ux² V'ca va² Vb² vß² W'ab whence wy² λα