Geometry of PositionMacmillan and Company, 1891 - 192 páginas |
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Página 39
... hyperbola . If , again , AG never meet the locus , the curve is a parabola ; and by Drew ( ch . i . , Prop . FG2 XV . ) , = parameter , or four times the distance of A AG from the focus . The nature of the curve may be also determined ...
... hyperbola . If , again , AG never meet the locus , the curve is a parabola ; and by Drew ( ch . i . , Prop . FG2 XV . ) , = parameter , or four times the distance of A AG from the focus . The nature of the curve may be also determined ...
Página 71
... hyperbola with the ends of any diameter are parallel to two conjugate diameters of the curve . $ t Fig . 45 . M 24. Inversion . The inversion of a point - range may be defined as the permutation of the elements or letters com- posing it ...
... hyperbola with the ends of any diameter are parallel to two conjugate diameters of the curve . $ t Fig . 45 . M 24. Inversion . The inversion of a point - range may be defined as the permutation of the elements or letters com- posing it ...
Página 76
... hyperbola are symmetrically situate with respect to the centre of the curve . In fact the foci are the double points of the in- volute line aa , and the centre is the conjugate of the point at infinity . Hence ( §§ 19 and 27 ) the foci ...
... hyperbola are symmetrically situate with respect to the centre of the curve . In fact the foci are the double points of the in- volute line aa , and the centre is the conjugate of the point at infinity . Hence ( §§ 19 and 27 ) the foci ...
Página 79
... hyperbola the ratio is the same for both foci , each being referred to the corresponding directrix . If then r and be the focal distances of any point on the curve ; d and d ' the distances of the same point to the two directrices , we ...
... hyperbola the ratio is the same for both foci , each being referred to the corresponding directrix . If then r and be the focal distances of any point on the curve ; d and d ' the distances of the same point to the two directrices , we ...
Página 81
... hyper- bola . The tangents at the vertices of the principal axis cut any third tangent in two points P and Q , which are pro- jected from every point of the principal axis by a couple of conjugate rays ( compare § 17 ) . Thus it is only ...
... hyper- bola . The tangents at the vertices of the principal axis cut any third tangent in two points P and Q , which are pro- jected from every point of the principal axis by a couple of conjugate rays ( compare § 17 ) . Thus it is only ...
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Términos y frases comunes
A. S. WALPOLE A. W. VERRALL Assistant Master BEGINNERS bending-moment bisect Cambridge centre of gravity chord circle Clifton College complete quadrangle conic conjugate points conjugate rays corresponding curve double points draw drawn parallel Edited elastic line ELEMENTARY TREATISE ellipse ENGLISH equal Fcap Fellow of Trinity foci forces funicular G. E. FASNACHT GEOMETRY given GRAMMAR GREEK HISTORY homologous points hyperbola Illustrated infinity intercept Introduction and Notes involution ISAAC TODHUNTER J. P. MAHAFFY J. P. POSTGATE LATIN Lecturer line of action Litt LL.D load M.A. BOOK M.A. Cr MACMILLAN'S Mathematics meet Owens College pairs of opposite parabola pencil perpendicular perspective plane point of contact point of intersection polar distance pole preparation PRIMER Prof Professor projective punctuated line quadrangle ratio reciprocal respectively revised School shew span straight line tangent Translated triangle Trinity College University University of Cambridge vertical wherefore
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