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 iv
... Line Equations of Bisectors of Angles between two given Right Lines Area of Triangle in terms of Coordinates of its Vertices . Area of any Polygon · Condition that three Lines ... RIGHT LINES . Meaning of an Equation resolvable iv CONTENTS .
... Line Equations of Bisectors of Angles between two given Right Lines Area of Triangle in terms of Coordinates of its Vertices . Area of any Polygon · Condition that three Lines ... RIGHT LINES . Meaning of an Equation resolvable iv CONTENTS .
Stranica xiii
... right Line 316 · Projective Properties of a Quadrilateral 317 Any two Conics may be projected into Circles • 318 Projective proof of Carnot's Theorem ( see also p . 289 ) 319 of Pascal's Theorem 319 Projection of Properties concerning ...
... right Line 316 · Projective Properties of a Quadrilateral 317 Any two Conics may be projected into Circles • 318 Projective proof of Carnot's Theorem ( see also p . 289 ) 319 of Pascal's Theorem 319 Projection of Properties concerning ...
Stranica 13
... line MK , the x of that point will always = a . 16. In general , if we are given an equation of any degree between the coordinates , let us assume for x any value we please ( x = a ) , and the equation will enable us to ... RIGHT LINE . 13.
... line MK , the x of that point will always = a . 16. In general , if we are given an equation of any degree between the coordinates , let us assume for x any value we please ( x = a ) , and the equation will enable us to ... RIGHT LINE . 13.
Stranica 14
... right line , and , conversely , that the equation of a right line is always of the first degree . 18. We have already ( Art . 15 ) interpreted the simplest case of an equation of the first degree , namely , the ... line 14 THE RIGHT LINE .
... right line , and , conversely , that the equation of a right line is always of the first degree . 18. We have already ( Art . 15 ) interpreted the simplest case of an equation of the first degree , namely , the ... line 14 THE RIGHT LINE .
Stranica 15
... line , we see that both the coordinates PM , OM , will vary in length , but that the ratio PM : OM will be constant , being to the ratio sin POM : sin MPO . = Hence we see that the equation sin POM y = sin MPO ... RIGHT LINE . 15.
... line , we see that both the coordinates PM , OM , will vary in length , but that the ratio PM : OM will be constant , being to the ratio sin POM : sin MPO . = Hence we see that the equation sin POM y = sin MPO ... RIGHT LINE . 15.
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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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