An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory of ProjectionsMacmillan, 1866 - 182 σελίδες |
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Αποτελέσματα 1 - 5 από τα 30.
Σελίδα 8
... seen that we have here DE = = sin DAE : AD = cos C , DF AD = sin DAF = cos B ; DE DF = cos C · cos B PG PH Hence Cos C cos B or .. PG cos B = PH cos C , B cos By cos C. This will be the equation of the straight line , drawn through A ...
... seen that we have here DE = = sin DAE : AD = cos C , DF AD = sin DAF = cos B ; DE DF = cos C · cos B PG PH Hence Cos C cos B or .. PG cos B = PH cos C , B cos By cos C. This will be the equation of the straight line , drawn through A ...
Σελίδα 14
... seen hereafter . We shall sometimes , in future investigations , speak of the straight line represented by the equation la + mß + ny = 0 , as the straight line ( ? , m , n ) . Adopting this phraseology , it will be seen that the ...
... seen hereafter . We shall sometimes , in future investigations , speak of the straight line represented by the equation la + mß + ny = 0 , as the straight line ( ? , m , n ) . Adopting this phraseology , it will be seen that the ...
Σελίδα 15
... seen that the equality of any two members implies that the third is equal to either of them . Multiplying the numerators and denominators of the several members of ( 3 ) by l ' , m ' , n ' and adding , we obtain the condition under the ...
... seen that the equality of any two members implies that the third is equal to either of them . Multiplying the numerators and denominators of the several members of ( 3 ) by l ' , m ' , n ' and adding , we obtain the condition under the ...
Σελίδα 16
... seen that , q , r , denoting the distances from A , of the points in which the straight line ( l , m , n ) cuts AC , AB respectively , whence or gra bc = 218 a 118 qr 7 , = q m , C - bc ཅུ ། ar = 1 - - qr b m C bc Τ am a b bl ' q = aq 1 ...
... seen that , q , r , denoting the distances from A , of the points in which the straight line ( l , m , n ) cuts AC , AB respectively , whence or gra bc = 218 a 118 qr 7 , = q m , C - bc ཅུ ། ar = 1 - - qr b m C bc Τ am a b bl ' q = aq 1 ...
Σελίδα 25
... seen that , if an harmonic pencil be cut by a transversal , the four points of section will form an harmonic range . And if four points , forming an harmonic range , be joined with a fifth point , the four joining lines will form an ...
... seen that , if an harmonic pencil be cut by a transversal , the four points of section will form an harmonic range . And if four points , forming an harmonic range , be joined with a fifth point , the four joining lines will form an ...
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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