Geometry of PositionMacmillan and Company, 1891 - 192 páginas |
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Página xiv
... Foci on Tangents 35. To find the Foci 36. The Variable Segment subtending Constant Angle at Focus • PAGE 73 74 75 77 79 , 80 70x88 77 78 78 80 81 37. To determine the Double Points in Conic Series and Superposed Ranges 82 38. Properties of ...
... Foci on Tangents 35. To find the Foci 36. The Variable Segment subtending Constant Angle at Focus • PAGE 73 74 75 77 79 , 80 70x88 77 78 78 80 81 37. To determine the Double Points in Conic Series and Superposed Ranges 82 38. Properties of ...
Página 76
... foci are situate on the axis of the curve perpendicular to aa , and form the double points of an involution on that axis , formed in the same way as the involution on the axis aa . COR . IV . The foci of an ellipse or a hyperbola are ...
... foci are situate on the axis of the curve perpendicular to aa , and form the double points of an involution on that axis , formed in the same way as the involution on the axis aa . COR . IV . The foci of an ellipse or a hyperbola are ...
Página 77
... foci ; and the angle formed by two tangents drawn from an external point to a curve of the second order is bisected by the same line as the angle formed by the rays drawn from the point to the foci . In the case of the parabola the line ...
... foci ; and the angle formed by two tangents drawn from an external point to a curve of the second order is bisected by the same line as the angle formed by the rays drawn from the point to the foci . In the case of the parabola the line ...
Página 79
... foci of a central conic upon the tangents M Fig . 52 . are situate upon the circumference of a circle whose diameter is equal to the major axis . Let F and F ' ( Fig . 52 ) be the two foci of an ellipse ; A and A ' the ends of any ...
... foci of a central conic upon the tangents M Fig . 52 . are situate upon the circumference of a circle whose diameter is equal to the major axis . Let F and F ' ( Fig . 52 ) be the two foci of an ellipse ; A and A ' the ends of any ...
Página 80
... foci . Hence , if N be the point of intersection of the tangent at any point A and that at the vertex S , we have xNA = xNS , and wherefore , by addition , xNF = xNF ' ; FNA F'NS . But F'NS is a right angle , therefore FNA is likewise a ...
... foci . Hence , if N be the point of intersection of the tangent at any point A and that at the vertex S , we have xNA = xNS , and wherefore , by addition , xNF = xNF ' ; FNA F'NS . But F'NS is a right angle , therefore FNA is likewise a ...
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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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