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
... SECOND DEGREE . I. Every Equation of the Second Degree represents a Conic Sec- tion Equation of the Conic described about the Triangle of Refer- 2 , 3 . ence • Position of the Centre . Condition for a Parabola 33 · 34 · 5 . 7 . 8 . 9 ...
... SECOND DEGREE . I. Every Equation of the Second Degree represents a Conic Sec- tion Equation of the Conic described about the Triangle of Refer- 2 , 3 . ence • Position of the Centre . Condition for a Parabola 33 · 34 · 5 . 7 . 8 . 9 ...
Σελίδα ix
... II . Multiplication of a Determinant by a given Quantity Minors of a Determinant Condition that a Quadratic Function ... SECOND DEGREE . 2. To find the point in which a straight line , drawn in a given 3 . direction through a given point ...
... II . Multiplication of a Determinant by a given Quantity Minors of a Determinant Condition that a Quadratic Function ... SECOND DEGREE . 2. To find the point in which a straight line , drawn in a given 3 . direction through a given point ...
Σελίδα 4
... second degree * . * This , if not self - evident , may be proved as follows : Let P , Q be the two given points . Join PQ , and draw PM , QM ' perpen- DISTANCE BETWEEN TWO POINTS . Again , since - a21 4 TRILINEAR CO - ORDINATES .
... second degree * . * This , if not self - evident , may be proved as follows : Let P , Q be the two given points . Join PQ , and draw PM , QM ' perpen- DISTANCE BETWEEN TWO POINTS . Again , since - a21 4 TRILINEAR CO - ORDINATES .
Σελίδα 5
... ( Y1 − Y2 ) 2 + 2 ( B1 - B2 ) ( Y1 - Y2 ) cos A , . ( ẞ1 − ẞ2 ) 2 + ( Y1 − Y2 ) 2 + 2 ( ẞ1 − ẞ2 ) ( Y1 −72 ) cos A sin2 A whence r2 = a rational integral function of the second degree . where l , m , n are certain functions of.
... ( Y1 − Y2 ) 2 + 2 ( B1 - B2 ) ( Y1 - Y2 ) cos A , . ( ẞ1 − ẞ2 ) 2 + ( Y1 − Y2 ) 2 + 2 ( ẞ1 − ẞ2 ) ( Y1 −72 ) cos A sin2 A whence r2 = a rational integral function of the second degree . where l , m , n are certain functions of.
Σελίδα 33
... II . SPECIAL FORMS OF THE EQUATION OF THE SECOND DEGREE . 1. WE now proceed to the discussion of the curve repre- sented by the equation of the second degree . We shall first prove that every curve , represented by such an equation , is ...
... II . SPECIAL FORMS OF THE EQUATION OF THE SECOND DEGREE . 1. WE now proceed to the discussion of the curve repre- sented by the equation of the second degree . We shall first prove that every curve , represented by such an equation , is ...
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An Elementary Treatise on Trilinear Co-Ordinates, the Method of Reciprocal ... Norman MacLeod Ferrers Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
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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