Cambridge problems proposed by the moderators to the candidates for mathematical honors at the general examination, 1843, Τόμος 21843 - 30 σελίδες |
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Αποτελέσματα 1 - 5 από τα 19.
Σελίδα 3
... determine the resultant of any number of forces in the same plane acting on a point . At any point of the circumference of a circle two equal forces act in directions passing through two fixed points on the circumference , shew that the ...
... determine the resultant of any number of forces in the same plane acting on a point . At any point of the circumference of a circle two equal forces act in directions passing through two fixed points on the circumference , shew that the ...
Σελίδα 4
... Determine the directions in which a particle must be projected with a given velocity , in order that it may hit a mark at a given distance on the same horizontal line with the point of projection . 7. A body floats in water , find the ...
... Determine the directions in which a particle must be projected with a given velocity , in order that it may hit a mark at a given distance on the same horizontal line with the point of projection . 7. A body floats in water , find the ...
Σελίδα 7
... these lines is ( b ' - b ) cos ( aa ) sin 0. Hence determine the rectangle whose 0 - sides pass through four given points , and whose area is given . 5. A straight line is drawn from a point whose CAMBRIDGE PROBLEMS , 1843 .
... these lines is ( b ' - b ) cos ( aa ) sin 0. Hence determine the rectangle whose 0 - sides pass through four given points , and whose area is given . 5. A straight line is drawn from a point whose CAMBRIDGE PROBLEMS , 1843 .
Σελίδα 8
... determine ƒ ( x ) . 7. If k be the last term of an equation of the nth degree , 1 whose roots are in geometric ... determine completely the conditions of equilibrium . 10. A closed vessel filled with an elastic fluid is let fall ...
... determine ƒ ( x ) . 7. If k be the last term of an equation of the nth degree , 1 whose roots are in geometric ... determine completely the conditions of equilibrium . 10. A closed vessel filled with an elastic fluid is let fall ...
Σελίδα 9
... determine the angle between the apsides . 13. A circle with its plane vertical rolls along a given curve on a horizontal plane : if x , y , be the co - ordinates of the point of contact of the circle and curve , and x y z the co ...
... determine the angle between the apsides . 13. A circle with its plane vertical rolls along a given curve on a horizontal plane : if x , y , be the co - ordinates of the point of contact of the circle and curve , and x y z the co ...
Άλλες εκδόσεις - Προβολή όλων
Cambridge Problems Proposed by the Moderators to the Candidates for ... Exam Papers Cambridge Univ Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
asymptotes axes axis centre of gravity circle conjugate diameters cosine curve cylinder determine developable surface diagonal double curvature dx a² ecliptic elastic string ellipse ellipsoid equal equilibrium Find dy Find the centre find the condition Find the equation Find the position Find the ratio fixed point fluid forces act fraction function given plane given point harmonic mean inclined plane January least common multiple MATHEMATICS AND NATURAL meridian minimum Moon's motion NATURAL PHILOSOPHY north polar distance number of terms orbit oscillations osculating plane parabola parallel parallelograms particle point of contact pole pressure projection prove the formula pulley PURE MATHEMATICS QUESTIONS IN PURE r₁ radii radius of curvature radius vector rays refracted rest right angle right-angled triangle roots segment shew smooth horizontal plane sphere spherical triangles surface tangents temperature touch vertex vertical plane x y z
Δημοφιλή αποσπάσματα
Σελίδα 3 - The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances...
Σελίδα 10 - But when a solid angle is formed by three plane angles, the sum of any two of them is greater than the third (Prop.
Σελίδα 10 - Triangles and parallelograms of the same altitude are to one another as their bases.
Σελίδα 6 - ... string passing over a pulley at the top of the inclined plane hangs vertically, supporting a weight (P).
Σελίδα 1 - To express the cosine of an angle of a spherical triangle in terms of the sines and cosines of the sides. Let ABC be a spherical triangle, O the centre of the sphere.
Σελίδα 8 - A Screw of Archimedes is capable of turning freely round its axis, which is fixed in a vertical position ; a heavy particle is placed at the top of the tube and runs down through it; determine the whole angular velocity communicated to the screw.