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
... Forces Equilibrium of Smooth Bodies Friction . Elastic Strings Catenaries , Attractions , & c . DYNAMICS , ELEMENTARY . 2330-2356 . I. Rectilinear Motion : Impulses 2357-2379 . II . Parabolic Motion under Gravity 2380-2391 . III ...
... Forces Equilibrium of Smooth Bodies Friction . Elastic Strings Catenaries , Attractions , & c . DYNAMICS , ELEMENTARY . 2330-2356 . I. Rectilinear Motion : Impulses 2357-2379 . II . Parabolic Motion under Gravity 2380-2391 . III ...
Página 382
... 12 { la ( c - b ) + m3b ( e + a - 2b ) + n2c ( a —'b ) } ' { -l'a ( b − c ) + m2 ( c − a ) + n ° c ( a - b ) } * + 4m3n2 bc ( a - b ) ( a — c ) ' - - STATICS . I. Composition and Resolution of Forces . 2208. 382 SOLID GEOMETRY .
... 12 { la ( c - b ) + m3b ( e + a - 2b ) + n2c ( a —'b ) } ' { -l'a ( b − c ) + m2 ( c − a ) + n ° c ( a - b ) } * + 4m3n2 bc ( a - b ) ( a — c ) ' - - STATICS . I. Composition and Resolution of Forces . 2208. 382 SOLID GEOMETRY .
Página 383
... forces act along the chords AB , BC , CD , DA in the senses indicated by the order of the letters , each force being inversely proportional to the chord along which it acts : prove that the resultant passes through the common points of ...
... forces act along the chords AB , BC , CD , DA in the senses indicated by the order of the letters , each force being inversely proportional to the chord along which it acts : prove that the resultant passes through the common points of ...
Página 384
... force be represented by the radius of the circle ABC , the magnitude of the resultant will be represented by the distance between the centres of the inscribed and circumscribed circles . 2213. The resultant R of any number of forces P1 ...
... force be represented by the radius of the circle ABC , the magnitude of the resultant will be represented by the distance between the centres of the inscribed and circumscribed circles . 2213. The resultant R of any number of forces P1 ...
Página 385
... force diagrams . ] 2222. Two systems of three forces ( P , Q , R ) , ( P ' , Q ' , R ' ) act along the sides of a triangle ABC : prove that the two resultants will be parallel if P , Q , R P , Q , R BC , CA , AB = 0 . 2223. A lamina ...
... force diagrams . ] 2222. Two systems of three forces ( P , Q , R ) , ( P ' , Q ' , R ' ) act along the sides of a triangle ABC : prove that the two resultants will be parallel if P , Q , R P , Q , R BC , CA , AB = 0 . 2223. A lamina ...
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
2hxy angular points angular velocity asymptotes ax² axes bisected by² cardioid centre of perpendiculars chord circumscribed circle co-ordinates common point common tangents cone confocal conicoid conjugate diameters constant cos² cos³ curve described diagonals directrix envelope equal excentric angles fixed point fixed straight line fixed tangents foci focus four points given circle given conic given ellipse given point given straight line harmonic inscribed latus rectum length locus major axis meet minor axis normal parabola parallel particle passes plane points of contact points of intersection polar pole prove radical axis radius of curvature ratio rectangle rectangular hyperbola respectively right angles self-conjugate sin² sin³ straight line joining subtends a right tangents drawn tetrahedron triangle ABC velocity vertex vertical
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