A Treatise on Conic Sections: Containing an Account of Some of the Most Important Modern Algebraic and Geometric MethodsLongmans, Green, and Company, 1879 - Broj stranica: 399 |
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Stranica 22
... follows that the tangent of the that the lines are parallel if m = m ' ; required angle is m- - m ' 1+ mm2 ; and perpendicular to each other if mm ' + 1 = 0 . * 26 . To find the angle between two lines , the coordinates being oblique ...
... follows that the tangent of the that the lines are parallel if m = m ' ; required angle is m- - m ' 1+ mm2 ; and perpendicular to each other if mm ' + 1 = 0 . * 26 . To find the angle between two lines , the coordinates being oblique ...
Stranica 30
... follows , from Art . 34 , that we shall have the bisector of that angle in which the origin lies ; and if we give the constant terms opposite signs , we shall have the equation of the bisector of the supplemental angle . Ex . 1. Reduce ...
... follows , from Art . 34 , that we shall have the bisector of that angle in which the origin lies ; and if we give the constant terms opposite signs , we shall have the equation of the bisector of the supplemental angle . Ex . 1. Reduce ...
Stranica 46
... follow are purposely chosen so as to admit of treatment similar to that pursued in former examples , they are arranged . In each of according to the order of which the answers given it is supposed that the same axes are chosen , and ...
... follow are purposely chosen so as to admit of treatment similar to that pursued in former examples , they are arranged . In each of according to the order of which the answers given it is supposed that the same axes are chosen , and ...
Stranica 54
... follows from the conventions concerning signs ( Art . 34 ) that a + k80 denotes a right line dividing externally the angle = AOB into parts such that sin POA sin POB = k . It is , of course , assumed in what we have said that the ...
... follows from the conventions concerning signs ( Art . 34 ) that a + k80 denotes a right line dividing externally the angle = AOB into parts such that sin POA sin POB = k . It is , of course , assumed in what we have said that the ...
Stranica 57
... follows that if we have à system of any number of lines passing through a point , P - kP , P - IP ' , & c .; and a second system of lines passing through another point , Q − kQ ' , Q − 1Q ' , & c . , the line P - kP being said to ...
... follows that if we have à system of any number of lines passing through a point , P - kP , P - IP ' , & c .; and a second system of lines passing through another point , Q − kQ ' , Q − 1Q ' , & c . , the line P - kP being said to ...
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Ostala izdanja - Prikaži sve
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2015 |
A Treatise on Conic Sections: Containing an Account of Some of the Most ... George Salmon Pregled nije dostupan - 2016 |
Uobičajeni izrazi i fraze
anharmonic ratio asymptotes ax² axes bisected by² centre chord of contact circumscribing coefficients coincide common tangents condition conic having double conic section conic touching conjugate diameters coordinates corresponding denote determine directrix double contact drawn ellipse equal find the equation find the locus fixed line fixed point foci focus four points given conic given line given point harmonic Hence hyperbola imaginary points infinite distance inscribed intercept last Article line at infinity line joining line meets meet the curve middle points mẞ origin parabola parallel Pascal's theorem perpendicular point of contact point x'y points at infinity points of intersection polar pole proved quadratic quadrilateral radical axis radius vector reciprocal rectangle represents right angles right line second degree sides square substituting tangential equation theorem trilinear coordinates values vanish vertex vertices
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