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 ix
... Terms of a Determinant 9880 59 бо 66 8 . Sign changed by interchange of two Consecutive Lines or Co- lumns · 9 . IO . II . Multiplication of a Determinant by a given Quantity Minors of a Determinant Condition that a Quadratic Function ...
... Terms of a Determinant 9880 59 бо 66 8 . Sign changed by interchange of two Consecutive Lines or Co- lumns · 9 . IO . II . Multiplication of a Determinant by a given Quantity Minors of a Determinant Condition that a Quadratic Function ...
Σελίδα 3
... , by means of a relation between two co- ordinates , B and y for example , and this may be made homo- ax + bB + cy geneous in a , B , y by multiplying each term by 24 raised to a suitable power . Thus , the equation 1-2.
... , by means of a relation between two co- ordinates , B and y for example , and this may be made homo- ax + bB + cy geneous in a , B , y by multiplying each term by 24 raised to a suitable power . Thus , the equation 1-2.
Σελίδα 4
... terms of their trilinear co - ordinates . Let a1 , B12.1 ; 2 , B2 , Y2 , be the co - ordinates of two given points , r the distance between them . Then , will be a rational integral function of a , -a ,, B1- B2 , Y12 , of the second ...
... terms of their trilinear co - ordinates . Let a1 , B12.1 ; 2 , B2 , Y2 , be the co - ordinates of two given points , r the distance between them . Then , will be a rational integral function of a , -a ,, B1- B2 , Y12 , of the second ...
Σελίδα 17
... terms , - and can only be admitted as a limiting form to which possi- ble equations may continually tend . 15. To find the equation of a straight line , drawn through a given point , parallel to a given straight line . Let ( l , m , n ) ...
... terms , - and can only be admitted as a limiting form to which possi- ble equations may continually tend . 15. To find the equation of a straight line , drawn through a given point , parallel to a given straight line . Let ( l , m , n ) ...
Σελίδα 25
... term harmonic is employed on account of the cir- cumstance , that if the points P , Q , R , S form what is above defined as an harmonic range , PR will be an harmonic mean between PQ and PS . For = PQ.RS PS . QR ; : . PQ ( PS – PR ) ...
... term harmonic is employed on account of the cir- cumstance , that if the points P , Q , R , S form what is above defined as an harmonic range , PR will be an harmonic mean between PQ and PS . For = PQ.RS PS . QR ; : . PQ ( PS – PR ) ...
Άλλες εκδόσεις - Προβολή όλων
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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