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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Σελίδα 12
... pole . Shew that , when the curve is referred to rectangular co - or- dinates , the focus being the origin , the radius vector is a rational and integral function of the co - ordinates of its extremity . 7. Determine the equations to ...
... pole . Shew that , when the curve is referred to rectangular co - or- dinates , the focus being the origin , the radius vector is a rational and integral function of the co - ordinates of its extremity . 7. Determine the equations to ...
Σελίδα 13
... pole . Shew that , when the curve is referred to rectangular co - or- dinates , the focus being the origin , the radius vector is a rational and integral function of the co - ordinates of its extremity . 7. Determine the equations to ...
... pole . Shew that , when the curve is referred to rectangular co - or- dinates , the focus being the origin , the radius vector is a rational and integral function of the co - ordinates of its extremity . 7. Determine the equations to ...
Σελίδα 14
... pole being in the diagonal pro- duced ) is an equilateral hexagon , whose angles are alternately greater and less . If the pole of projection be at a distance from the cube , equal to its diagonal , the sincs of two adjacent angles of ...
... pole being in the diagonal pro- duced ) is an equilateral hexagon , whose angles are alternately greater and less . If the pole of projection be at a distance from the cube , equal to its diagonal , the sincs of two adjacent angles of ...
Σελίδα 24
... pole star out of the meridian . 10. Why does the rotation of a hoop keep it from falling ? 11. Prove the formulæ : d d ( 2 ) A " Uz = ( εd * — 1 ) ” Ux • ท ( 1 ) Ux + n = ε Их , dutrus Shew that the coefficient of datr in the second ...
... pole star out of the meridian . 10. Why does the rotation of a hoop keep it from falling ? 11. Prove the formulæ : d d ( 2 ) A " Uz = ( εd * — 1 ) ” Ux • ท ( 1 ) Ux + n = ε Их , dutrus Shew that the coefficient of datr in the second ...
Σελίδα 25
... pole measured from its mean place along the solstitial colure and perpendicular to it , find the effect on the right ascension and north polar distance of a given star . 6. Prove that Σ ( Uz Vx ) = UzΣ vx — Σ ( Au , Σvx + 1 ) , and find ...
... pole measured from its mean place along the solstitial colure and perpendicular to it , find the effect on the right ascension and north polar distance of a given star . 6. Prove that Σ ( Uz Vx ) = UzΣ vx — Σ ( Au , Σvx + 1 ) , and find ...
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.