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 viii
... Co - ordinates . I. Straight Line , Linear Transformation , Circle · II . Parabola referred to its axis III . Ellipse referred to its axes . IV . Hyperbola , referred to its axes or asymptotes 1122-1152 . V. Polar Co - ordinates • 1153 ...
... Co - ordinates . I. Straight Line , Linear Transformation , Circle · II . Parabola referred to its axis III . Ellipse referred to its axes . IV . Hyperbola , referred to its axes or asymptotes 1122-1152 . V. Polar Co - ordinates • 1153 ...
Página 137
... : prove that these meet in a point 0 , and , O ' being similarly found from a ' , b ' , c ' , that OO ' is a diameter of the circle ABC . CONIC SECTIONS , ANALYTICAL . CARTESIAN CO - ORDINATES . CONIC SECTIONS , GEOMETRICAL . 137.
... : prove that these meet in a point 0 , and , O ' being similarly found from a ' , b ' , c ' , that OO ' is a diameter of the circle ABC . CONIC SECTIONS , ANALYTICAL . CARTESIAN CO - ORDINATES . CONIC SECTIONS , GEOMETRICAL . 137.
Página 138
Joseph Wolstenholme. CONIC SECTIONS , ANALYTICAL . CARTESIAN CO - ORDINATES . I. Straight Line , Linear Transformation , Circle . [ In any question relating to the intersections of a curve and two straight lines , it is generally ...
Joseph Wolstenholme. CONIC SECTIONS , ANALYTICAL . CARTESIAN CO - ORDINATES . I. Straight Line , Linear Transformation , Circle . [ In any question relating to the intersections of a curve and two straight lines , it is generally ...
Página 140
... co - ordinates be inclined at an angle w , the equation will be ( a + b − 2h cos w ) ( x2 + y2 + 2xy cos w ) = ( ax2 + 2hxy + by3 ) sin2 w . 885. The two straight lines - 2 x2 ( tan + cos 0 ) — 2xy tan 0 + y2 sin3 0 = 0 make with the ...
... co - ordinates be inclined at an angle w , the equation will be ( a + b − 2h cos w ) ( x2 + y2 + 2xy cos w ) = ( ax2 + 2hxy + by3 ) sin2 w . 885. The two straight lines - 2 x2 ( tan + cos 0 ) — 2xy tan 0 + y2 sin3 0 = 0 make with the ...
Página 141
... co is the parts of two straight lines at right angles to each other which ... ordinates , not necessarily rectangular , are x = pX + qY + r , y = p'X + q ... co - ordinate axes in the two cases . 893. Prove that , ABC being a given acute ...
... co is the parts of two straight lines at right angles to each other which ... ordinates , not necessarily rectangular , are x = pX + qY + r , y = p'X + q ... co - ordinate axes in the two cases . 893. Prove that , ABC being a given acute ...
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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