Mathematical Problems on the First and Second Divisions of the Schedule of Subjects for the Cambridge Mathematical Tripos ExaminationMacmillan and Company, 1878 - 480 páginas |
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Página ix
... Curve under Gravity 2392-2436 . NEWTON . ( Sections I. II . III . ) . DYNAMICS OF A PARTICLE . 2437-2477 . I. 2478-2512 . II . Rectilinear Motion , Kinematics Central Forces • 2513-2559 . III . Constrained Motion on Curves or Surfaces ...
... Curve under Gravity 2392-2436 . NEWTON . ( Sections I. II . III . ) . DYNAMICS OF A PARTICLE . 2437-2477 . I. 2478-2512 . II . Rectilinear Motion , Kinematics Central Forces • 2513-2559 . III . Constrained Motion on Curves or Surfaces ...
Página 137
... curves pass through the points of contact of a common tangent . 879. A circle meets a R. H. in points P , P , Q , Q ... curve again in Q ; RR ' is a chord parallel to this normal : prove that the points of intersection of QR , PR ' and ...
... curves pass through the points of contact of a common tangent . 879. A circle meets a R. H. in points P , P , Q , Q ... curve again in Q ; RR ' is a chord parallel to this normal : prove that the points of intersection of QR , PR ' and ...
Página 152
... curves have two real and two impossible common tangents . ( x 968. Two parabolas have a common focus , axes inclined ... curve : prove that when LM subtends a right angle at P , PL is parallel to the axis , and that this is the case when ...
... curves have two real and two impossible common tangents . ( x 968. Two parabolas have a common focus , axes inclined ... curve : prove that when LM subtends a right angle at P , PL is parallel to the axis , and that this is the case when ...
Página 180
... curves in P , Q ; a tangent at Q meets the outer hyperbola in two points and the straight lines joining these to the ... curve a2 b x y3 + 1101. The locus of the equation c2 c2 y = x + - - 4 . x + x + x + ... to ∞o is that part of the ...
... curves in P , Q ; a tangent at Q meets the outer hyperbola in two points and the straight lines joining these to the ... curve a2 b x y3 + 1101. The locus of the equation c2 c2 y = x + - - 4 . x + x + x + ... to ∞o is that part of the ...
Página 181
... curve again in Q , and 0 , & are the angles which the central radii to P , Q make with either asymptote : prove that tan3 0 tan = 1 , tan PCQ + 2 tan C'PQ = 0 , and that the least value of the angle CQP is sin . Also if the diameter PP ...
... curve again in Q , and 0 , & are the angles which the central radii to P , Q make with either asymptote : prove that tan3 0 tan = 1 , tan PCQ + 2 tan C'PQ = 0 , and that the least value of the angle CQP is sin . Also if the diameter PP ...
Otras ediciones - Ver todas
Mathematical Problems on the First and Second Divisions of the Schedule of ... Joseph Wolstenholme Sin vista previa disponible - 2012 |
Mathematical Problems: On the First and Second Divisions of the Schedule of ... Joseph Wolstenholme Sin vista previa disponible - 2017 |
Términos y frases comunes
angular points angular velocity asymptotes ax² axes bisected cardioid centre of perpendiculars chord circumscribed circle co-ordinates common point common tangents confocal conicoid conjugate diameters constant continued fraction cos² curve described diagonals directrix envelope equal excentric angles fixed circle fixed point fixed straight line foci focus four points given circle given conic given ellipse given point given the equations inscribed latus rectum length locus major axis meet minor axis normal parabola parallel particle passes plane point of intersection points of contact polar pole prove radical axis radius of curvature ratio rectangle rectangular hyperbola respectively right angles roots self-conjugate sin² sin³ straight line joining subtends a right tangents drawn tetrahedron triangle ABC velocity vertex vertical
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