An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory of Projections |
From inside the book
Results 1-5 of 56
Page viii
... Centre . Condition for a Parabola 35 5 . Condition of Tangency . Every Parabola touches the Line at Infinity 37 6 . Equation of the Circumscribing Circle ib . 7 . Equation of the Conic touching the Three Sides of the Tri- angle of ...
... Centre . Condition for a Parabola 35 5 . Condition of Tangency . Every Parabola touches the Line at Infinity 37 6 . Equation of the Circumscribing Circle ib . 7 . Equation of the Conic touching the Three Sides of the Tri- angle of ...
Page ix
... external Point 80 11 . Co - ordinates of the Centre 82 12 . Equation of the Asymptotes 83 13. Condition for a Rectangular Hyperbola 14. Conditions for a Circle : 22 8888 79 84 86 ARTS . 15 . 16 . All Circles pass through CONTENTS . ix.
... external Point 80 11 . Co - ordinates of the Centre 82 12 . Equation of the Asymptotes 83 13. Condition for a Rectangular Hyperbola 14. Conditions for a Circle : 22 8888 79 84 86 ARTS . 15 . 16 . All Circles pass through CONTENTS . ix.
Page xi
... line , and of the centre . Condition for a Parabola 139 10 . Circular points at infinity ib . Conditions for a Circle 140 • 11 . Self - conjugate Conic 141 ARTS . EXAMPLES 12. Tangential rectangular Co - ordinates 15. CONTENTS . xi.
... line , and of the centre . Condition for a Parabola 139 10 . Circular points at infinity ib . Conditions for a Circle 140 • 11 . Self - conjugate Conic 141 ARTS . EXAMPLES 12. Tangential rectangular Co - ordinates 15. CONTENTS . xi.
Page xiii
... CENTRE OF A SYSTEM OF CONICS WHICH SATISFY FOUR CONDITIONS . 11 . Four points given 12. Three points and a tangent 13 . 14 . 15 . Two points and two tangents . One point and three tangents . Four tangents · 165 • 167 168 169 · 171 ...
... CENTRE OF A SYSTEM OF CONICS WHICH SATISFY FOUR CONDITIONS . 11 . Four points given 12. Three points and a tangent 13 . 14 . 15 . Two points and two tangents . One point and three tangents . Four tangents · 165 • 167 168 169 · 171 ...
Page 4
... centres of the escribed circles ? 4. The co - ordinates of the centre of gravity are 2A 2A 3a ' 2A 36 3c " 5. Prove that a sin A + B sin B + y sin C is equal to where R is the radius of the circumscribing circle . Ꭱ ; 3. To find the ...
... centres of the escribed circles ? 4. The co - ordinates of the centre of gravity are 2A 2A 3a ' 2A 36 3c " 5. Prove that a sin A + B sin B + y sin C is equal to where R is the radius of the circumscribing circle . Ꭱ ; 3. To find the ...
Other editions - View all
Common terms and phrases
angular points asymptotes ax+bB+cy b₁ b₂ C₁ Cambridge centre Chap co-ordinates coefficients College common tangents conic section Crown 8vo determinant directrix Edition equation Fcap find the equation fixed point follows four points given conic given point given straight line Hence imaginary investigated Let the equation line at infinity line joining locus meets the conic nine-point circle numerous Illustrations obtain opposite sides Owens College pair parabola Pascal's Theorem perpendicular point f points of intersection pole Professor prove radical axis ratios rectangular hyperbola represented respect right angles second degree shewn similar and similarly sin POS tangents tangents drawn term a,b,c theorem three straight lines tion touches the line triangle of reference Ua² ux² V'ca v'f+u'g+wh va² values Vb² vß² W. K. CLIFFORD W'ab whence wy² λα