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 9
... polar distance of a star , h its hour angle when it crosses the given vertical plane before noon , 27 the time ( expressed in degrees ) between its forenoon and after- noon transit across that plane : shew that tan ( h ) cos c = cot A ...
... polar distance of a star , h its hour angle when it crosses the given vertical plane before noon , 27 the time ( expressed in degrees ) between its forenoon and after- noon transit across that plane : shew that tan ( h ) cos c = cot A ...
Σελίδα 10
... polar distance of any star may be found , by means of a clock , and two transit instruments placed in vertical planes at right angles to each other . Must we correct for refraction in this method ? How would you place the transits in ...
... polar distance of any star may be found , by means of a clock , and two transit instruments placed in vertical planes at right angles to each other . Must we correct for refraction in this method ? How would you place the transits in ...
Σελίδα 12
... polar equation referred to the focus as 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 ...
... polar equation referred to the focus as 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 ...
Σελίδα 13
... polar equation referred to the focus as 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 ...
... polar equation referred to the focus as 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 ...
Σελίδα 16
... Polar Distance of the normal to the mirror be produced to R so that PR = 2PN , R traces out a circle round Q. 0 14. Shew that = 2 . 0 ' sin 0 \ sin o ' sin 20 sin 30 + sin 20 ' sin 30 ' ... ) . 15. If a curve of the fourth order have ...
... Polar Distance of the normal to the mirror be produced to R so that PR = 2PN , R traces out a circle round Q. 0 14. Shew that = 2 . 0 ' sin 0 \ sin o ' sin 20 sin 30 + sin 20 ' sin 30 ' ... ) . 15. If a curve of the fourth order have ...
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.